diff --git a/source/source_estate/elecstate_lcao.cpp b/source/source_estate/elecstate_lcao.cpp
index 0a02774687..7eaef537b0 100644
--- a/source/source_estate/elecstate_lcao.cpp
+++ b/source/source_estate/elecstate_lcao.cpp
@@ -35,7 +35,7 @@ void ElecStateLCAO<std::complex<double>>::psiToRho(const psi::Psi<std::complex<d
 
     ModuleBase::GlobalFunc::NOTE("Calculate the charge on real space grid!");
 #ifdef __OLD_GINT
-    this->gint_k->transfer_DM2DtoGrid(this->DM->get_DMR_vector()); // transfer DM2D to DM_grid in gint
+    this->gint_k->transfer_DM2DtoGrid(this->DM->get_DMR_vector()); // transfer dm2d to DM_grid in gint
     Gint_inout inout(this->charge->rho, Gint_Tools::job_type::rho, PARAM.inp.nspin);
     this->gint_k->cal_gint(&inout);
 #else
@@ -72,7 +72,7 @@ void ElecStateLCAO<double>::psiToRho(const psi::Psi<double>& psi)
     ModuleBase::GlobalFunc::NOTE("Calculate the charge on real space grid!");
 
 #ifdef __OLD_GINT 
-    this->gint_gamma->transfer_DM2DtoGrid(this->DM->get_DMR_vector()); // transfer DM2D to DM_grid in gint
+    this->gint_gamma->transfer_DM2DtoGrid(this->DM->get_DMR_vector()); // transfer dm2d to DM_grid in gint
     Gint_inout inout(this->charge->rho, Gint_Tools::job_type::rho, PARAM.inp.nspin);
     this->gint_gamma->cal_gint(&inout);
 #else
@@ -140,7 +140,7 @@ void ElecStateLCAO<double>::dmToRho(std::vector<double*> pexsi_DM, std::vector<d
 
     ModuleBase::GlobalFunc::NOTE("Calculate the charge on real space grid!");
 #ifdef __OLD_GINT
-    this->gint_gamma->transfer_DM2DtoGrid(this->DM->get_DMR_vector()); // transfer DM2D to DM_grid in gint
+    this->gint_gamma->transfer_DM2DtoGrid(this->DM->get_DMR_vector()); // transfer dm2d to DM_grid in gint
     Gint_inout inout(this->charge->rho, Gint_Tools::job_type::rho, PARAM.inp.nspin);
     this->gint_gamma->cal_gint(&inout);
 #else
diff --git a/source/source_lcao/module_gint/gint.h b/source/source_lcao/module_gint/gint.h
index 9810b913f2..3c447b7e4f 100644
--- a/source/source_lcao/module_gint/gint.h
+++ b/source/source_lcao/module_gint/gint.h
@@ -26,7 +26,7 @@ class Gint {
 
     hamilt::HContainer<double>* get_hRGint() const { return hRGint; }
 
-    std::vector<hamilt::HContainer<double>*> get_DMRGint() const { return DMRGint; }
+    std::vector<hamilt::HContainer<double>*> get_DMRGint() const { return dmr_gint; }
 
     int get_ncxyz() const { return ncxyz; }
 
@@ -58,14 +58,14 @@ class Gint {
     void initialize_pvpR(const UnitCell& unitcell, const Grid_Driver* gd, const int& nspin);
 
     /**
-     * @brief resize DMRGint to nspin and reallocate the memory
+     * @brief resize dmr_gint to nspin and reallocate the memory
      */
     void reset_DMRGint(const int& nspin);
 
     /**
      * @brief transfer DMR (2D para) to DMR (Grid para) in elecstate_lcao.cpp
      */
-    void transfer_DM2DtoGrid(std::vector<hamilt::HContainer<double>*> DM2D);
+    void transfer_DM2DtoGrid(std::vector<hamilt::HContainer<double>*> dm2d);
 
     const Grid_Technique* gridt = nullptr;
     const UnitCell* ucell;
@@ -256,13 +256,13 @@ class Gint {
     hamilt::HContainer<double>* hRGint = nullptr; 
 
     //! size of vec is 4, only used when nspin = 4
-    std::vector<hamilt::HContainer<double>*> hRGint_tmp; 
+    std::vector<hamilt::HContainer<double>*> hr_gint_tmp; 
 
     //! stores Hamiltonian in sparse format
     hamilt::HContainer<std::complex<double>>* hRGintCd = nullptr; 
 
     //! stores DMR in sparse format
-    std::vector<hamilt::HContainer<double>*> DMRGint; 
+    std::vector<hamilt::HContainer<double>*> dmr_gint; 
 
     //! tmp tools used in transfer_DM2DtoGrid 
     hamilt::HContainer<double>* dm2d_tmp = nullptr;
diff --git a/source/source_lcao/module_gint/gint_force_cpu_interface.cpp b/source/source_lcao/module_gint/gint_force_cpu_interface.cpp
index e3b6a30077..f4f346783d 100644
--- a/source/source_lcao/module_gint/gint_force_cpu_interface.cpp
+++ b/source/source_lcao/module_gint/gint_force_cpu_interface.cpp
@@ -82,7 +82,7 @@ void Gint::gint_kernel_force(Gint_inout* inout) {
                 cal_flag.get_ptr_2D(),
                 psir_vlbr3.get_ptr_2D(), 
                 psir_vlbr3_DM.get_ptr_2D(), 
-                this->DMRGint[inout->ispin], 
+                this->dmr_gint[inout->ispin], 
                 false);
 
         if(inout->isforce)
@@ -230,19 +230,19 @@ void Gint::gint_kernel_force_meta(Gint_inout* inout) {
 	//calculating g_mu(r) = sum_nu rho_mu,nu f_nu(r)
         Gint_Tools::mult_psi_DMR(*this->gridt, this->bxyz, LD_pool, grid_index, 
             na_grid, block_index.data(), block_size.data(), cal_flag.get_ptr_2D(),
-            psir_vlbr3.get_ptr_2D(), psir_vlbr3_DM.get_ptr_2D(), this->DMRGint[inout->ispin], false);
+            psir_vlbr3.get_ptr_2D(), psir_vlbr3_DM.get_ptr_2D(), this->dmr_gint[inout->ispin], false);
 
         Gint_Tools::mult_psi_DMR(*this->gridt, this->bxyz, LD_pool, grid_index, 
             na_grid, block_index.data(), block_size.data(), cal_flag.get_ptr_2D(),
-            dpsir_x_vlbr3.get_ptr_2D(), dpsirx_v_DM.get_ptr_2D(), this->DMRGint[inout->ispin], false);
+            dpsir_x_vlbr3.get_ptr_2D(), dpsirx_v_DM.get_ptr_2D(), this->dmr_gint[inout->ispin], false);
 
         Gint_Tools::mult_psi_DMR(*this->gridt, this->bxyz, LD_pool, grid_index,
             na_grid, block_index.data(), block_size.data(), cal_flag.get_ptr_2D(),
-            dpsir_y_vlbr3.get_ptr_2D(), dpsiry_v_DM.get_ptr_2D(), this->DMRGint[inout->ispin], false);
+            dpsir_y_vlbr3.get_ptr_2D(), dpsiry_v_DM.get_ptr_2D(), this->dmr_gint[inout->ispin], false);
 
         Gint_Tools::mult_psi_DMR(*this->gridt, this->bxyz, LD_pool, grid_index, 
             na_grid, block_index.data(), block_size.data(), cal_flag.get_ptr_2D(),
-            dpsir_z_vlbr3.get_ptr_2D(), dpsirz_v_DM.get_ptr_2D(), this->DMRGint[inout->ispin], false);
+            dpsir_z_vlbr3.get_ptr_2D(), dpsirz_v_DM.get_ptr_2D(), this->dmr_gint[inout->ispin], false);
 
         if(inout->isforce)
         {
diff --git a/source/source_lcao/module_gint/gint_gpu_interface.cpp b/source/source_lcao/module_gint/gint_gpu_interface.cpp
index f033722ecf..8e8e362f23 100644
--- a/source/source_lcao/module_gint/gint_gpu_interface.cpp
+++ b/source/source_lcao/module_gint/gint_gpu_interface.cpp
@@ -18,7 +18,7 @@ void Gint::gpu_vlocal_interface(Gint_inout* inout) {
         ylmcoef[i] = ModuleBase::Ylm::ylmcoef[i];
     }
 
-    hamilt::HContainer<double>* hRGint_kernel = PARAM.inp.nspin != 4 ? this->hRGint : this->hRGint_tmp[inout->ispin];
+    hamilt::HContainer<double>* hRGint_kernel = PARAM.inp.nspin != 4 ? this->hRGint : this->hr_gint_tmp[inout->ispin];
     GintKernel::gint_vl_gpu(hRGint_kernel,
                             inout->vl,
                             ylmcoef,
@@ -45,7 +45,7 @@ void Gint::gpu_rho_interface(Gint_inout* inout) {
     int nrxx = this->gridt->ncx * this->gridt->ncy * this->nplane;
     for (int is = 0; is < PARAM.inp.nspin; ++is) {
         ModuleBase::GlobalFunc::ZEROS(inout->rho[is], nrxx);
-        GintKernel::gint_rho_gpu(this->DMRGint[is],
+        GintKernel::gint_rho_gpu(this->dmr_gint[is],
                                        ylmcoef,
                                        dr,
                                        this->gridt->rcuts.data(),
@@ -76,7 +76,7 @@ void Gint::gpu_force_interface(Gint_inout* inout) {
     if (isforce || isstress) {
         std::vector<double> force(nat * 3, 0.0);
         std::vector<double> stress(6, 0.0);
-        GintKernel::gint_fvl_gpu(this->DMRGint[inout->ispin],
+        GintKernel::gint_fvl_gpu(this->dmr_gint[inout->ispin],
                                        inout->vl,
                                        force.data(),
                                        stress.data(),
diff --git a/source/source_lcao/module_gint/gint_k_pvpr.cpp b/source/source_lcao/module_gint/gint_k_pvpr.cpp
index e59ed4443d..8f98e1dcaf 100644
--- a/source/source_lcao/module_gint/gint_k_pvpr.cpp
+++ b/source/source_lcao/module_gint/gint_k_pvpr.cpp
@@ -89,8 +89,8 @@ void Gint_k::transfer_pvpR(hamilt::HContainer<std::complex<double>>* hR,
         {
             hamilt::AtomPair<std::complex<double>>* upper_ap = ap;
             hamilt::AtomPair<std::complex<double>>* lower_ap = this->hRGintCd->find_pair(iat2, iat1);
-            const hamilt::AtomPair<double>* ap_nspin_0 = this->hRGint_tmp[0]->find_pair(iat1, iat2);
-            const hamilt::AtomPair<double>* ap_nspin_3 = this->hRGint_tmp[3]->find_pair(iat1, iat2);
+            const hamilt::AtomPair<double>* ap_nspin_0 = this->hr_gint_tmp[0]->find_pair(iat1, iat2);
+            const hamilt::AtomPair<double>* ap_nspin_3 = this->hr_gint_tmp[3]->find_pair(iat1, iat2);
             for (int ir = 0; ir < upper_ap->get_R_size(); ir++)
             {   
                 const auto R_index = upper_ap->get_R_index(ir);
@@ -110,8 +110,8 @@ void Gint_k::transfer_pvpR(hamilt::HContainer<std::complex<double>>* hR,
 
                 if (PARAM.globalv.domag)
                 {
-                    const hamilt::AtomPair<double>* ap_nspin_1 = this->hRGint_tmp[1]->find_pair(iat1, iat2);
-                    const hamilt::AtomPair<double>* ap_nspin_2 = this->hRGint_tmp[2]->find_pair(iat1, iat2);
+                    const hamilt::AtomPair<double>* ap_nspin_1 = this->hr_gint_tmp[1]->find_pair(iat1, iat2);
+                    const hamilt::AtomPair<double>* ap_nspin_2 = this->hr_gint_tmp[2]->find_pair(iat1, iat2);
                     const auto mat_nspin_1 = ap_nspin_1->find_matrix(R_index);
                     const auto mat_nspin_2 = ap_nspin_2->find_matrix(R_index);
                     for (int irow = 0; irow < mat_nspin_1->get_row_size(); ++irow)
diff --git a/source/source_lcao/module_gint/gint_old.cpp b/source/source_lcao/module_gint/gint_old.cpp
index da19046563..73b666581c 100644
--- a/source/source_lcao/module_gint/gint_old.cpp
+++ b/source/source_lcao/module_gint/gint_old.cpp
@@ -24,13 +24,13 @@ Gint::~Gint() {
 
     delete this->hRGint;
     delete this->hRGintCd;
-    // in gamma_only case, DMRGint.size()=0, 
-    // in multi-k case, DMRGint.size()=nspin
-    for (int is = 0; is < this->DMRGint.size(); is++) {
-        delete this->DMRGint[is];
+    // in gamma_only case, dmr_gint.size()=0, 
+    // in multi-k case, dmr_gint.size()=nspin
+    for (int is = 0; is < this->dmr_gint.size(); is++) {
+        delete this->dmr_gint[is];
     }
-    for(int is = 0; is < this->hRGint_tmp.size(); is++) {
-        delete this->hRGint_tmp[is];
+    for(int is = 0; is < this->hr_gint_tmp .size(); is++) {
+        delete this->hr_gint_tmp [is];
     }
 #ifdef __MPI
     delete this->dm2d_tmp;
@@ -141,13 +141,12 @@ void Gint::prep_grid(const Grid_Technique& gt,
 void Gint::initialize_pvpR(const UnitCell& ucell_in, const Grid_Driver* gd, const int& nspin)
 {
     ModuleBase::TITLE("Gint", "initialize_pvpR");
-
     int npol = 1;
-    // there is the only resize code of DMRGint
-    if (this->DMRGint.size() == 0) {
-        this->DMRGint.resize(nspin);
+    // there is the only resize code of dmr_gint
+    if (this->dmr_gint.size() == 0) {
+        this->dmr_gint.resize(nspin);
     }
-    hRGint_tmp.resize(nspin);
+    hr_gint_tmp.resize(nspin);
     if (nspin != 4) {
         if (this->hRGint != nullptr) {
             delete this->hRGint;
@@ -161,14 +160,14 @@ void Gint::initialize_pvpR(const UnitCell& ucell_in, const Grid_Driver* gd, cons
         this->hRGintCd
             = new hamilt::HContainer<std::complex<double>>(ucell_in.nat);
         for (int is = 0; is < nspin; is++) {
-            if (this->DMRGint[is] != nullptr) {
-                delete this->DMRGint[is];
+            if (this->dmr_gint[is] != nullptr) {
+                delete this->dmr_gint[is];
             }
-            if (this->hRGint_tmp[is] != nullptr) {
-                delete this->hRGint_tmp[is];
+            if (this->hr_gint_tmp[is] != nullptr) {
+                delete this->hr_gint_tmp[is];
             }
-            this->DMRGint[is] = new hamilt::HContainer<double>(ucell_in.nat);
-            this->hRGint_tmp[is] = new hamilt::HContainer<double>(ucell_in.nat);
+            this->dmr_gint[is] = new hamilt::HContainer<double>(ucell_in.nat);
+            this->hr_gint_tmp[is] = new hamilt::HContainer<double>(ucell_in.nat);
         }
 #ifdef __MPI
         if (this->dm2d_tmp != nullptr) {
@@ -176,7 +175,6 @@ void Gint::initialize_pvpR(const UnitCell& ucell_in, const Grid_Driver* gd, cons
         }
 #endif
     }
-
     if (PARAM.globalv.gamma_only_local && nspin != 4) {
         this->hRGint->fix_gamma();
     }
@@ -185,30 +183,30 @@ void Gint::initialize_pvpR(const UnitCell& ucell_in, const Grid_Driver* gd, cons
         this->hRGint->allocate(nullptr, true);
         ModuleBase::Memory::record("Gint::hRGint",
                             this->hRGint->get_memory_size());
-        // initialize DMRGint with hRGint when NSPIN != 4
-        for (int is = 0; is < this->DMRGint.size(); is++) {
-            if (this->DMRGint[is] != nullptr) {
-                delete this->DMRGint[is];
+        // initialize dmr_gint with hRGint when NSPIN != 4
+        for (int is = 0; is < this->dmr_gint.size(); is++) {
+            if (this->dmr_gint[is] != nullptr) {
+                delete this->dmr_gint[is];
             }
-            this->DMRGint[is] = new hamilt::HContainer<double>(*this->hRGint);
+            this->dmr_gint[is] = new hamilt::HContainer<double>(*this->hRGint);
         }
-        ModuleBase::Memory::record("Gint::DMRGint",
-                                   this->DMRGint[0]->get_memory_size()
-                                       * this->DMRGint.size());
+        ModuleBase::Memory::record("Gint::dmr_gint",
+                                   this->dmr_gint[0]->get_memory_size()
+                                       * this->dmr_gint.size());
     } else {
         this->hRGintCd->insert_ijrs(this->gridt->get_ijr_info(), ucell_in, npol);
         this->hRGintCd->allocate(nullptr, true);
         for(int is = 0; is < nspin; is++) {
-            this->hRGint_tmp[is]->insert_ijrs(this->gridt->get_ijr_info(), ucell_in);
-            this->DMRGint[is]->insert_ijrs(this->gridt->get_ijr_info(), ucell_in);
-            this->hRGint_tmp[is]->allocate(nullptr, true);
-            this->DMRGint[is]->allocate(nullptr, true);
+            this->hr_gint_tmp[is]->insert_ijrs(this->gridt->get_ijr_info(), ucell_in);
+            this->dmr_gint[is]->insert_ijrs(this->gridt->get_ijr_info(), ucell_in);
+            this->hr_gint_tmp[is]->allocate(nullptr, true);
+            this->dmr_gint[is]->allocate(nullptr, true);
         }
-        ModuleBase::Memory::record("Gint::hRGint_tmp",
-                                       this->hRGint_tmp[0]->get_memory_size()*nspin);
-        ModuleBase::Memory::record("Gint::DMRGint",
-                                       this->DMRGint[0]->get_memory_size()
-                                           * this->DMRGint.size()*nspin);
+        ModuleBase::Memory::record("Gint::hr_gint_tmp",
+                                       this->hr_gint_tmp[0]->get_memory_size()*nspin);
+        ModuleBase::Memory::record("Gint::dmr_gint",
+                                       this->dmr_gint[0]->get_memory_size()
+                                           * this->dmr_gint.size()*nspin);
     }
 }
 
@@ -216,13 +214,13 @@ void Gint::reset_DMRGint(const int& nspin)
 {
     if (this->hRGint)
     {
-        for (auto& d : this->DMRGint) { delete d; }
-        this->DMRGint.resize(nspin);
-        this->DMRGint.shrink_to_fit();
-        for (auto& d : this->DMRGint) { d = new hamilt::HContainer<double>(*this->hRGint); }
+        for (auto& d : this->dmr_gint) { delete d; }
+        this->dmr_gint.resize(nspin);
+        this->dmr_gint.shrink_to_fit();
+        for (auto& d : this->dmr_gint) { d = new hamilt::HContainer<double>(*this->hRGint); }
         if (nspin == 4)
         {
-            for (auto& d : this->DMRGint) { d->allocate(nullptr, false); }
+            for (auto& d : this->dmr_gint) { d->allocate(nullptr, false); }
 #ifdef __MPI
             delete this->dm2d_tmp;
 #endif
@@ -230,36 +228,35 @@ void Gint::reset_DMRGint(const int& nspin)
     }
 }
 
-void Gint::transfer_DM2DtoGrid(std::vector<hamilt::HContainer<double>*> DM2D) {
+void Gint::transfer_DM2DtoGrid(std::vector<hamilt::HContainer<double>*> dm2d) {
     ModuleBase::TITLE("Gint", "transfer_DMR");
-
-    // To check whether input parameter DM2D has been initialized
+    // To check whether input parameter dm2d has been initialized
 #ifdef __DEBUG
-    assert(!DM2D.empty()
-           && "Input parameter DM2D has not been initialized while calling "
+    assert(!dm2d.empty()
+           && "Input parameter dm2d has not been initialized while calling "
               "function transfer_DM2DtoGrid!");
 #endif
-
     ModuleBase::timer::tick("Gint", "transfer_DMR");
     if (PARAM.inp.nspin != 4) {
-        for (int is = 0; is < this->DMRGint.size(); is++) {
+        for (int is = 0; is < this->dmr_gint.size(); is++) {
 #ifdef __MPI
-            hamilt::transferParallels2Serials(*DM2D[is], DMRGint[is]);
+            hamilt::transferParallels2Serials(*dm2d[is], dmr_gint[is]);
 #else
-            this->DMRGint[is]->set_zero();
-            this->DMRGint[is]->add(*DM2D[is]);
+            this->dmr_gint[is]->set_zero();
+            this->dmr_gint[is]->add(*dm2d[is]);
 #endif
         }
     } else // NSPIN=4 case
     {
-#ifdef __MPI
         // is=0:↑↑, 1:↑↓, 2:↓↑, 3:↓↓
         const int row_set[4] = {0, 0, 1, 1};
         const int col_set[4] = {0, 1, 0, 1};
-        int mg = DM2D[0]->get_paraV()->get_global_row_size()/2;
-        int ng = DM2D[0]->get_paraV()->get_global_col_size()/2;
-        int nb = DM2D[0]->get_paraV()->get_block_size()/2;
-        int blacs_ctxt = DM2D[0]->get_paraV()->blacs_ctxt;
+        int mg = dm2d[0]->get_paraV()->get_global_row_size()/2;
+        int ng = dm2d[0]->get_paraV()->get_global_col_size()/2;
+        int nb = dm2d[0]->get_paraV()->get_block_size()/2;
+        auto ijr_info = dm2d[0]->get_ijr_info();
+#ifdef __MPI
+        int blacs_ctxt = dm2d[0]->get_paraV()->blacs_ctxt;
         std::vector<int> iat2iwt(ucell->nat);
         for (int iat = 0; iat < ucell->nat; iat++) {
             iat2iwt[iat] = ucell->get_iat2iwt()[iat]/2;
@@ -267,12 +264,19 @@ void Gint::transfer_DM2DtoGrid(std::vector<hamilt::HContainer<double>*> DM2D) {
         Parallel_Orbitals pv{};
         pv.set(mg, ng, nb, blacs_ctxt);
         pv.set_atomic_trace(iat2iwt.data(), ucell->nat, mg);
-        auto ijr_info = DM2D[0]->get_ijr_info();
         this-> dm2d_tmp = new hamilt::HContainer<double>(&pv, nullptr, &ijr_info);
+#else
+        if (this->dm2d_tmp != nullptr) {
+            delete this->dm2d_tmp;
+        }
+        this-> dm2d_tmp = new hamilt::HContainer<double>(*this->hRGint);
+        this-> dm2d_tmp -> insert_ijrs(this->gridt->get_ijr_info(), *(this->ucell));
+        this-> dm2d_tmp -> allocate(nullptr, true);
+#endif
         ModuleBase::Memory::record("Gint::dm2d_tmp", this->dm2d_tmp->get_memory_size());
         for (int is = 0; is < 4; is++){
-            for (int iap = 0; iap < DM2D[0]->size_atom_pairs(); ++iap) {
-                auto& ap = DM2D[0]->get_atom_pair(iap);
+            for (int iap = 0; iap < dm2d[0]->size_atom_pairs(); ++iap) {
+                auto& ap = dm2d[0]->get_atom_pair(iap);
                 int iat1 = ap.get_atom_i();
                 int iat2 = ap.get_atom_j();
                 for (int ir = 0; ir < ap.get_R_size(); ++ir) {
@@ -288,13 +292,15 @@ void Gint::transfer_DM2DtoGrid(std::vector<hamilt::HContainer<double>*> DM2D) {
                     }
                 }
             }
-            hamilt::transferParallels2Serials( *(this->dm2d_tmp), this->DMRGint[is]);
-        }
-        delete this->dm2d_tmp;
-        this->dm2d_tmp = nullptr;
+#ifdef __MPI
+            hamilt::transferParallels2Serials( *(this->dm2d_tmp), this->dmr_gint[is]);
 #else
-        //this->DMRGint_full = DM2D[0];
+            this->dmr_gint[is]->set_zero();
+            this->dmr_gint[is]->add(*(this->dm2d_tmp));
 #endif
+        }//is=4
+        delete this->dm2d_tmp;
+        this->dm2d_tmp = nullptr;
     }
     ModuleBase::timer::tick("Gint", "transfer_DMR");
 }
\ No newline at end of file
diff --git a/source/source_lcao/module_gint/gint_rho_cpu_interface.cpp b/source/source_lcao/module_gint/gint_rho_cpu_interface.cpp
index 073a1821b0..2f41152fc3 100644
--- a/source/source_lcao/module_gint/gint_rho_cpu_interface.cpp
+++ b/source/source_lcao/module_gint/gint_rho_cpu_interface.cpp
@@ -76,7 +76,7 @@ void Gint::gint_kernel_rho(Gint_inout* inout) {
                                     cal_flag.get_ptr_2D(),
                                     psir_ylm_1.get_ptr_2D(),
                                     psir_DM.get_ptr_2D(),
-                                    this->DMRGint[is],
+                                    this->dmr_gint[is],
                                     inout->if_symm);
 
             // do sum_mu g_mu(r)psi_mu(r) to get electron density on grid
@@ -156,7 +156,7 @@ void Gint::gint_kernel_tau(Gint_inout* inout) {
                 cal_flag.get_ptr_2D(),
                 dpsir_ylm_x.get_ptr_2D(),
                 dpsix_DM.get_ptr_2D(),
-                this->DMRGint[is],
+                this->dmr_gint[is],
                 true);
             Gint_Tools::mult_psi_DMR(
                 *this->gridt, this->bxyz,
@@ -166,7 +166,7 @@ void Gint::gint_kernel_tau(Gint_inout* inout) {
                 cal_flag.get_ptr_2D(),
                 dpsir_ylm_y.get_ptr_2D(),
                 dpsiy_DM.get_ptr_2D(),
-                this->DMRGint[is],
+                this->dmr_gint[is],
                 true);
             Gint_Tools::mult_psi_DMR(
                 *this->gridt, this->bxyz,
@@ -176,7 +176,7 @@ void Gint::gint_kernel_tau(Gint_inout* inout) {
                 cal_flag.get_ptr_2D(),
                 dpsir_ylm_z.get_ptr_2D(),
                 dpsiz_DM.get_ptr_2D(),
-                this->DMRGint[is],
+                this->dmr_gint[is],
                 true);
 
             //do sum_i,mu g_i,mu(r) * d/dx_i psi_mu(r) to get kinetic energy density on grid
diff --git a/source/source_lcao/module_gint/gint_vl_cpu_interface.cpp b/source/source_lcao/module_gint/gint_vl_cpu_interface.cpp
index 4f65c1147a..f913fab83e 100644
--- a/source/source_lcao/module_gint/gint_vl_cpu_interface.cpp
+++ b/source/source_lcao/module_gint/gint_vl_cpu_interface.cpp
@@ -12,7 +12,7 @@ void Gint::gint_kernel_vlocal(Gint_inout* inout) {
     const int ncyz = this->ny * this->nplane;
     const double dv = ucell.omega / this->ncxyz;
     const double delta_r = this->gridt->dr_uniform;
-    hamilt::HContainer<double>* hRGint_kernel = PARAM.inp.nspin != 4 ? this->hRGint : this->hRGint_tmp[inout->ispin];
+    hamilt::HContainer<double>* hRGint_kernel = PARAM.inp.nspin != 4 ? this->hRGint : this->hr_gint_tmp[inout->ispin];
     hRGint_kernel->set_zero();
 
 #pragma omp parallel 
@@ -166,7 +166,7 @@ void Gint::gint_kernel_vlocal_meta(Gint_inout* inout) {
     const int ncyz = this->ny * this->nplane;
     const double dv = ucell.omega / this->ncxyz;
     const double delta_r = this->gridt->dr_uniform;
-    hamilt::HContainer<double>* hRGint_kernel = PARAM.inp.nspin != 4 ? this->hRGint : this->hRGint_tmp[inout->ispin];
+    hamilt::HContainer<double>* hRGint_kernel = PARAM.inp.nspin != 4 ? this->hRGint : this->hr_gint_tmp[inout->ispin];
     hRGint_kernel->set_zero();
     const int nnrg = hRGint_kernel->get_nnr();
 
diff --git a/source/source_lcao/module_gint/grid_technique.cpp b/source/source_lcao/module_gint/grid_technique.cpp
index 9241c81d0a..de52f4d5f9 100644
--- a/source/source_lcao/module_gint/grid_technique.cpp
+++ b/source/source_lcao/module_gint/grid_technique.cpp
@@ -556,7 +556,7 @@ void Grid_Technique::init_ijr_and_nnrg(const UnitCell& ucell, const Grid_Driver&
 {
     ModuleBase::TITLE("Grid_Technique", "init_ijr_and_nnrg");
 
-    hamilt::HContainer<double> hRGint_tmp(ucell.nat);
+    hamilt::HContainer<double> hr_gint_tmp(ucell.nat);
     // prepare the row_index and col_index for construct AtomPairs, they are
     // same, name as orb_index
     std::vector<int> orb_index(ucell.nat + 1);
@@ -614,15 +614,15 @@ void Grid_Technique::init_ijr_and_nnrg(const UnitCell& ucell, const Grid_Driver&
                                         orb_index.data(),
                                         orb_index.data(),
                                         ucell.nat);
-                                    hRGint_tmp.insert_pair(tmp_atom_pair);
+                                    hr_gint_tmp.insert_pair(tmp_atom_pair);
                             }
                         }
                     }
                 }
             }
     }
-    this->ijr_info = hRGint_tmp.get_ijr_info();
-    this->nnrg = hRGint_tmp.get_nnr();
+    this->ijr_info = hr_gint_tmp.get_ijr_info();
+    this->nnrg = hr_gint_tmp.get_nnr();
     return;
 }
 
diff --git a/source/source_lcao/module_gint/temp_gint/gint_common.cpp b/source/source_lcao/module_gint/temp_gint/gint_common.cpp
index 675b50c7cd..69957f0b38 100644
--- a/source/source_lcao/module_gint/temp_gint/gint_common.cpp
+++ b/source/source_lcao/module_gint/temp_gint/gint_common.cpp
@@ -47,73 +47,6 @@ void compose_hr_gint(HContainer<double>& hr_gint)
     ModuleBase::timer::tick("Gint", "compose_hr_gint");
 }
 
-void compose_hr_gint(const std::vector<HContainer<double>>& hr_gint_part,
-                     HContainer<std::complex<double>>& hr_gint_full)
-{
-    ModuleBase::TITLE("Gint", "compose_hr_gint");
-    ModuleBase::timer::tick("Gint", "compose_hr_gint");
-    for (int iap = 0; iap < hr_gint_full.size_atom_pairs(); iap++)
-    {
-        auto* ap = &(hr_gint_full.get_atom_pair(iap));
-        const int iat1 = ap->get_atom_i();
-        const int iat2 = ap->get_atom_j();
-        if (iat1 <= iat2)
-        {
-            hamilt::AtomPair<std::complex<double>>* upper_ap = ap;
-            hamilt::AtomPair<std::complex<double>>* lower_ap = hr_gint_full.find_pair(iat2, iat1);
-            const hamilt::AtomPair<double>* ap_nspin_0 = hr_gint_part[0].find_pair(iat1, iat2);
-            const hamilt::AtomPair<double>* ap_nspin_3 = hr_gint_part[3].find_pair(iat1, iat2);
-            for (int ir = 0; ir < upper_ap->get_R_size(); ir++)
-            {
-                const auto R_index = upper_ap->get_R_index(ir);
-                auto upper_mat = upper_ap->find_matrix(R_index);
-                auto mat_nspin_0 = ap_nspin_0->find_matrix(R_index);
-                auto mat_nspin_3 = ap_nspin_3->find_matrix(R_index);
-
-                // The row size and the col size of upper_matrix is double that of matrix_nspin_0
-                for (int irow = 0; irow < mat_nspin_0->get_row_size(); ++irow)
-                {
-                    for (int icol = 0; icol < mat_nspin_0->get_col_size(); ++icol)
-                    {
-                        upper_mat->get_value(2*irow, 2*icol) = mat_nspin_0->get_value(irow, icol) + mat_nspin_3->get_value(irow, icol);
-                        upper_mat->get_value(2*irow+1, 2*icol+1) = mat_nspin_0->get_value(irow, icol) - mat_nspin_3->get_value(irow, icol);
-                    }
-                }
-
-                if (PARAM.globalv.domag)
-                {
-                    const hamilt::AtomPair<double>* ap_nspin_1 = hr_gint_part[1].find_pair(iat1, iat2);
-                    const hamilt::AtomPair<double>* ap_nspin_2 = hr_gint_part[2].find_pair(iat1, iat2);
-                    const auto mat_nspin_1 = ap_nspin_1->find_matrix(R_index);
-                    const auto mat_nspin_2 = ap_nspin_2->find_matrix(R_index);
-                    for (int irow = 0; irow < mat_nspin_1->get_row_size(); ++irow)
-                    {
-                        for (int icol = 0; icol < mat_nspin_1->get_col_size(); ++icol)
-                        {
-                            upper_mat->get_value(2*irow, 2*icol+1) = mat_nspin_1->get_value(irow, icol) +  std::complex<double>(0.0, 1.0) * mat_nspin_2->get_value(irow, icol);
-                            upper_mat->get_value(2*irow+1, 2*icol) = mat_nspin_1->get_value(irow, icol) -  std::complex<double>(0.0, 1.0) * mat_nspin_2->get_value(irow, icol);
-                        }
-                    }
-                }
-
-                // fill the lower triangle matrix
-                if (iat1 < iat2)
-                {
-                    auto lower_mat = lower_ap->find_matrix(-R_index);
-                    for (int irow = 0; irow < upper_mat->get_row_size(); ++irow)
-                    {
-                        for (int icol = 0; icol < upper_mat->get_col_size(); ++icol)
-                        {
-                            lower_mat->get_value(icol, irow) = conj(upper_mat->get_value(irow, icol));
-                        }
-                    }
-                }
-            }
-        }
-    }
-    ModuleBase::timer::tick("Gint", "compose_hr_gint");
-}
-
 template <typename T>
 void transfer_hr_gint_to_hR(const HContainer<T>& hr_gint, HContainer<T>& hR)
 {
@@ -136,6 +69,130 @@ void transfer_hr_gint_to_hR(const HContainer<T>& hr_gint, HContainer<T>& hR)
     ModuleBase::timer::tick("Gint", "transfer_hr_gint_to_hR");
 }
 
+
+void merge_hr_part_to_hR(const std::vector<hamilt::HContainer<double>>& hr_gint_tmp ,
+                         hamilt::HContainer<std::complex<double>>* hR,
+                         const GintInfo& gint_info){
+    ModuleBase::TITLE("Gint_k", "transfer_pvpR");
+    ModuleBase::timer::tick("Gint_k", "transfer_pvpR");
+
+    const UnitCell* ucell_in = gint_info.get_ucell();
+    int mg = hR->get_paraV()->get_global_row_size()/2;
+    int ng = hR->get_paraV()->get_global_col_size()/2;
+    int nb = hR->get_paraV()->get_block_size()/2;
+    hamilt::HContainer<std::complex<double>>* hR_tmp;
+
+
+#ifdef __MPI
+    int blacs_ctxt = hR->get_paraV()->blacs_ctxt;
+    std::vector<int> iat2iwt(ucell_in->nat);
+    for (int iat = 0; iat < ucell_in->nat; iat++) {
+        iat2iwt[iat] = ucell_in->get_iat2iwt()[iat]/2;
+    }
+    Parallel_Orbitals *pv = new Parallel_Orbitals();
+    pv->set(mg, ng, nb, blacs_ctxt);
+    pv->set_atomic_trace(iat2iwt.data(), ucell_in->nat, mg);
+    auto ijr_info = hR->get_ijr_info();
+    hR_tmp = new hamilt::HContainer<std::complex<double>>(pv, nullptr, &ijr_info);
+#endif
+
+    //select hr_gint_tmp 
+    std::vector<int> first = {0, 1, 1, 0};
+    std::vector<int> second= {3, 2, 2, 3};
+    //select position in the big matrix
+    std::vector<int> row_set = {0, 0, 1, 1};
+    std::vector<int> col_set = {0, 1, 0, 1};
+    //construct complex matrix
+    std::vector<int> clx_i = {1, 0, 0, -1};
+    std::vector<int> clx_j = {0, 1, -1, 0};
+    for (int is = 0; is < 4; is++){
+        if(!PARAM.globalv.domag && (is==1 || is==2)) continue;
+        hR_tmp->set_zero();
+        hamilt::HContainer<std::complex<double>>* hRGint_tmpCd = new hamilt::HContainer<std::complex<double>>(ucell_in->nat);
+        hRGint_tmpCd->insert_ijrs( &(gint_info.get_ijr_info()), *(ucell_in));
+        hRGint_tmpCd->allocate(nullptr, true);
+        hRGint_tmpCd->set_zero();
+        for (int iap = 0; iap < hRGint_tmpCd->size_atom_pairs(); iap++)
+        {
+            auto* ap = &hRGint_tmpCd->get_atom_pair(iap);
+            const int iat1 = ap->get_atom_i();
+            const int iat2 = ap->get_atom_j();
+            if (iat1 <= iat2)
+            {
+                hamilt::AtomPair<std::complex<double>>* upper_ap = ap;
+                hamilt::AtomPair<std::complex<double>>* lower_ap = hRGint_tmpCd->find_pair(iat2, iat1);
+                const hamilt::AtomPair<double>* ap_nspin1 = hr_gint_tmp [first[is]].find_pair(iat1, iat2);
+                const hamilt::AtomPair<double>* ap_nspin2 = hr_gint_tmp [second[is]].find_pair(iat1, iat2);
+                for (int ir = 0; ir < upper_ap->get_R_size(); ir++)
+                {   
+                    const auto R_index = upper_ap->get_R_index(ir);
+                    auto upper_mat = upper_ap->find_matrix(R_index);
+                    auto mat_nspin1 = ap_nspin1->find_matrix(R_index);
+                    auto mat_nspin2 = ap_nspin2->find_matrix(R_index);
+                    // The row size and the col size of upper_matrix is double that of matrix_nspin_0
+                    for (int irow = 0; irow < mat_nspin1->get_row_size(); ++irow)
+                    {
+                        for (int icol = 0; icol < mat_nspin1->get_col_size(); ++icol)
+                        {
+                            upper_mat->get_value(irow, icol) = mat_nspin1->get_value(irow, icol) 
+                            + std::complex<double>(clx_i[is], clx_j[is]) * mat_nspin2->get_value(irow, icol);
+                        }
+                    }
+                    //fill the lower triangle matrix
+                    //When is=0 or 3, the real part does not need conjugation; 
+                    //when is=1 or 2, the small matrix is not Hermitian, so conjugation is not needed
+                    if (iat1 < iat2)
+                    {
+                        auto lower_mat = lower_ap->find_matrix(-R_index);
+                        for (int irow = 0; irow < upper_mat->get_row_size(); ++irow)
+                        {
+                            for (int icol = 0; icol < upper_mat->get_col_size(); ++icol)
+                            {
+                                lower_mat->get_value(icol, irow) = upper_mat->get_value(irow, icol);
+                            }
+                        }
+                    }
+
+                }
+            }
+        }
+        // transfer hRGint_tmpCd to parallel hR_tmp
+#ifdef __MPI
+        hamilt::transferSerials2Parallels( *hRGint_tmpCd, hR_tmp);
+#else
+        hR_tmp = hRGint_tmpCd;
+#endif
+        // merge hR_tmp to hR
+        for (int iap = 0; iap < hR->size_atom_pairs(); iap++)
+        {
+            auto* ap = &hR->get_atom_pair(iap);
+            const int iat1 = ap->get_atom_i();
+            const int iat2 = ap->get_atom_j();
+            auto* ap_nspin = hR_tmp ->find_pair(iat1, iat2);
+            for (int ir = 0; ir < ap->get_R_size(); ir++)
+            {   
+                const auto R_index = ap->get_R_index(ir);
+                auto upper_mat = ap->find_matrix(R_index);
+                auto mat_nspin = ap_nspin->find_matrix(R_index);
+                // The row size and the col size of upper_matrix is double that of matrix_nspin_0
+                for (int irow = 0; irow < mat_nspin->get_row_size(); ++irow)
+                {
+                    for (int icol = 0; icol < mat_nspin->get_col_size(); ++icol)
+                    {
+                        upper_mat->get_value(2*irow+row_set[is], 2*icol+col_set[is]) = 
+                        mat_nspin->get_value(irow, icol);
+                    }
+                }
+            }
+        }
+        delete hRGint_tmpCd;
+    }
+    ModuleBase::timer::tick("Gint_k", "transfer_pvpR");
+    return;
+}
+
+
+
 // gint_info should not have been a parameter, but it was added to initialize dm_gint_full
 // In the future, we might try to remove the gint_info parameter
 template<typename T>
@@ -162,15 +219,17 @@ void transfer_dm_2d_to_gint(
         }
     } else  // NSPIN=4 case
     {
-#ifdef __MPI
+
         // is=0:↑↑, 1:↑↓, 2:↓↑, 3:↓↓
         const int row_set[4] = {0, 0, 1, 1};
         const int col_set[4] = {0, 1, 0, 1};
         int mg = dm[0]->get_paraV()->get_global_row_size()/2;
         int ng = dm[0]->get_paraV()->get_global_col_size()/2;
         int nb = dm[0]->get_paraV()->get_block_size()/2;
-        int blacs_ctxt = dm[0]->get_paraV()->blacs_ctxt;
         const UnitCell* ucell = gint_info.get_ucell();
+        auto ijr_info = dm[0]->get_ijr_info();
+#ifdef __MPI
+        int blacs_ctxt = dm[0]->get_paraV()->blacs_ctxt;
         std::vector<int> iat2iwt(ucell->nat);
         for (int iat = 0; iat < ucell->nat; iat++) {
             iat2iwt[iat] = ucell->get_iat2iwt()[iat]/2;
@@ -178,8 +237,12 @@ void transfer_dm_2d_to_gint(
         Parallel_Orbitals pv{};
         pv.set(mg, ng, nb, blacs_ctxt);
         pv.set_atomic_trace(iat2iwt.data(), ucell->nat, mg);
-        auto ijr_info = dm[0]->get_ijr_info();
         HContainer<T> dm2d_tmp(&pv, nullptr, &ijr_info);
+#else
+        auto* dm2d_tmp = new hamilt::HContainer<T>(ucell->nat);
+        dm2d_tmp -> insert_ijrs(&ijr_info, *ucell);
+        dm2d_tmp -> allocate(nullptr, true);
+#endif
          for (int is = 0; is < 4; is++){
             for (int iap = 0; iap < dm[0]->size_atom_pairs(); ++iap) {
                 auto& ap = dm[0]->get_atom_pair(iap);
@@ -187,7 +250,11 @@ void transfer_dm_2d_to_gint(
                 int iat2 = ap.get_atom_j();
                 for (int ir = 0; ir < ap.get_R_size(); ++ir) {
                     const ModuleBase::Vector3<int> r_index = ap.get_R_index(ir);
+#ifdef __MPI
                     T* matrix_out = dm2d_tmp.find_matrix(iat1, iat2, r_index)->get_pointer();
+#else
+                    T* matrix_out = dm2d_tmp->find_matrix(iat1, iat2, r_index)->get_pointer();
+#endif
                     T* matrix_in = ap.get_pointer(ir);
                     for (int irow = 0; irow < ap.get_row_size()/2; irow ++) {
                         for (int icol = 0; icol < ap.get_col_size()/2; icol ++) {
@@ -198,11 +265,13 @@ void transfer_dm_2d_to_gint(
                     }
                 }
             }
+#ifdef __MPI         
             hamilt::transferParallels2Serials(dm2d_tmp, &dm_gint[is]);
-        }
 #else
-        //HContainer<T>& dm_full = *(dm[0]);
+            dm_gint[is].set_zero();
+            dm_gint[is].add(*dm2d_tmp);
 #endif
+        }//is=4
     }
     ModuleBase::timer::tick("Gint", "transfer_dm_2d_to_gint");
 }
diff --git a/source/source_lcao/module_gint/temp_gint/gint_common.h b/source/source_lcao/module_gint/temp_gint/gint_common.h
index 17a324df2b..0e04a7cffc 100644
--- a/source/source_lcao/module_gint/temp_gint/gint_common.h
+++ b/source/source_lcao/module_gint/temp_gint/gint_common.h
@@ -6,12 +6,14 @@ namespace ModuleGint
 {
     // fill the lower triangle matrix with the upper triangle matrix
     void compose_hr_gint(HContainer<double>& hr_gint);
-    // for nspin=4 case
-    void compose_hr_gint(const std::vector<HContainer<double>>& hr_gint_part,
-                         HContainer<std::complex<double>>& hr_gint_full);
+    
 
     template <typename T>
     void transfer_hr_gint_to_hR(const HContainer<T>& hr_gint, HContainer<T>& hR);
+    // for nspin=4 case
+    void merge_hr_part_to_hR(const std::vector<hamilt::HContainer<double>>& hr_gint_tmp ,
+                         hamilt::HContainer<std::complex<double>>* hR,
+                         const GintInfo& gint_info);
 
     template<typename T>
     void transfer_dm_2d_to_gint(
diff --git a/source/source_lcao/module_gint/temp_gint/gint_info.h b/source/source_lcao/module_gint/temp_gint/gint_info.h
index 356a62127e..0f311c1bcc 100644
--- a/source/source_lcao/module_gint/temp_gint/gint_info.h
+++ b/source/source_lcao/module_gint/temp_gint/gint_info.h
@@ -39,6 +39,7 @@ class GintInfo
     int get_lgd() const { return lgd_; }
     int get_nat() const { return ucell_->nat; }        // return the number of atoms in the unitcell
     const UnitCell* get_ucell() const { return ucell_; }
+    const std::vector<int>& get_ijr_info() const {return ijr_info_;}
     int get_local_mgrid_num() const { return localcell_info_->get_mgrids_num(); }
     double get_mgrid_volume() const { return meshgrid_info_->get_volume(); }
 
diff --git a/source/source_lcao/module_gint/temp_gint/gint_vl_metagga_nspin4.cpp b/source/source_lcao/module_gint/temp_gint/gint_vl_metagga_nspin4.cpp
index d5880600b0..5b4c45e5db 100644
--- a/source/source_lcao/module_gint/temp_gint/gint_vl_metagga_nspin4.cpp
+++ b/source/source_lcao/module_gint/temp_gint/gint_vl_metagga_nspin4.cpp
@@ -14,8 +14,7 @@ void Gint_vl_metagga_nspin4::cal_gint()
     ModuleBase::timer::tick("Gint", "cal_gint_vl");
     init_hr_gint_();
     cal_hr_gint_();
-    compose_hr_gint(hr_gint_part_, hr_gint_full_);
-    transfer_hr_gint_to_hR(hr_gint_full_, *hR_);
+    merge_hr_part_to_hR(hr_gint_part_, hR_, *gint_info_);
     ModuleBase::timer::tick("Gint", "cal_gint_vl");
 }
 
@@ -26,8 +25,6 @@ void Gint_vl_metagga_nspin4::init_hr_gint_()
     {
         hr_gint_part_[i] = gint_info_->get_hr<double>();
     }
-    const int npol = 2;
-    hr_gint_full_ = gint_info_->get_hr<std::complex<double>>(npol);
 }
 
 void Gint_vl_metagga_nspin4::cal_hr_gint_()
diff --git a/source/source_lcao/module_gint/temp_gint/gint_vl_metagga_nspin4.h b/source/source_lcao/module_gint/temp_gint/gint_vl_metagga_nspin4.h
index 12722fef21..138cb1a277 100644
--- a/source/source_lcao/module_gint/temp_gint/gint_vl_metagga_nspin4.h
+++ b/source/source_lcao/module_gint/temp_gint/gint_vl_metagga_nspin4.h
@@ -37,7 +37,6 @@ class Gint_vl_metagga_nspin4 : public Gint
     const int nspin_ = 4;
 
     std::vector<HContainer<double>> hr_gint_part_;
-    HContainer<std::complex<double>> hr_gint_full_;
 };
 
 }
\ No newline at end of file
diff --git a/source/source_lcao/module_gint/temp_gint/gint_vl_metagga_nspin4_gpu.cpp b/source/source_lcao/module_gint/temp_gint/gint_vl_metagga_nspin4_gpu.cpp
index 9adc4cb137..ec8b940710 100644
--- a/source/source_lcao/module_gint/temp_gint/gint_vl_metagga_nspin4_gpu.cpp
+++ b/source/source_lcao/module_gint/temp_gint/gint_vl_metagga_nspin4_gpu.cpp
@@ -13,8 +13,7 @@ void Gint_vl_metagga_nspin4_gpu::cal_gint()
     ModuleBase::timer::tick("Gint", "cal_gint_vl");
     init_hr_gint_();
     cal_hr_gint_();
-    compose_hr_gint(hr_gint_part_, hr_gint_full_);
-    transfer_hr_gint_to_hR(hr_gint_full_, *hR_);
+    merge_hr_part_to_hR(hr_gint_part_, hR_, *gint_info_);
     ModuleBase::timer::tick("Gint", "cal_gint_vl");
 }
 
@@ -25,8 +24,6 @@ void Gint_vl_metagga_nspin4_gpu::init_hr_gint_()
     {
         hr_gint_part_[i] = gint_info_->get_hr<double>();
     }
-    const int npol = 2;
-    hr_gint_full_ = gint_info_->get_hr<std::complex<double>>(npol);
 }
 
 void Gint_vl_metagga_nspin4_gpu::transfer_cpu_to_gpu_()
diff --git a/source/source_lcao/module_gint/temp_gint/gint_vl_metagga_nspin4_gpu.h b/source/source_lcao/module_gint/temp_gint/gint_vl_metagga_nspin4_gpu.h
index fd967a63ec..c5f6f7c729 100644
--- a/source/source_lcao/module_gint/temp_gint/gint_vl_metagga_nspin4_gpu.h
+++ b/source/source_lcao/module_gint/temp_gint/gint_vl_metagga_nspin4_gpu.h
@@ -42,7 +42,6 @@ class Gint_vl_metagga_nspin4_gpu : public Gint
     const int nspin_ = 4;
 
     std::vector<HContainer<double>> hr_gint_part_;
-    HContainer<std::complex<double>> hr_gint_full_;
     
     std::vector<CudaMemWrapper<double>> vr_eff_d_;
     std::vector<CudaMemWrapper<double>> vofk_d_;
diff --git a/source/source_lcao/module_gint/temp_gint/gint_vl_nspin4.cpp b/source/source_lcao/module_gint/temp_gint/gint_vl_nspin4.cpp
index 56aca5edeb..14350eb218 100644
--- a/source/source_lcao/module_gint/temp_gint/gint_vl_nspin4.cpp
+++ b/source/source_lcao/module_gint/temp_gint/gint_vl_nspin4.cpp
@@ -13,8 +13,7 @@ void Gint_vl_nspin4::cal_gint()
     ModuleBase::timer::tick("Gint", "cal_gint_vl");
     init_hr_gint_();
     cal_hr_gint_();
-    compose_hr_gint(hr_gint_part_, hr_gint_full_);
-    transfer_hr_gint_to_hR(hr_gint_full_, *hR_);
+    merge_hr_part_to_hR(hr_gint_part_, hR_, *gint_info_);
     ModuleBase::timer::tick("Gint", "cal_gint_vl");
 }
 
@@ -25,8 +24,6 @@ void Gint_vl_nspin4::init_hr_gint_()
     {
         hr_gint_part_[i] = gint_info_->get_hr<double>();
     }
-    const int npol = 2;
-    hr_gint_full_ = gint_info_->get_hr<std::complex<double>>(npol);
 }
 
 void Gint_vl_nspin4::cal_hr_gint_()
diff --git a/source/source_lcao/module_gint/temp_gint/gint_vl_nspin4.h b/source/source_lcao/module_gint/temp_gint/gint_vl_nspin4.h
index eed9827242..97aa47ca58 100644
--- a/source/source_lcao/module_gint/temp_gint/gint_vl_nspin4.h
+++ b/source/source_lcao/module_gint/temp_gint/gint_vl_nspin4.h
@@ -39,7 +39,6 @@ class Gint_vl_nspin4 : public Gint
     const int nspin_ = 4;
 
     std::vector<HContainer<double>> hr_gint_part_;
-    HContainer<std::complex<double>> hr_gint_full_;
 };
 
 } // namespace ModuleGint
\ No newline at end of file
diff --git a/source/source_lcao/module_gint/temp_gint/gint_vl_nspin4_gpu.cpp b/source/source_lcao/module_gint/temp_gint/gint_vl_nspin4_gpu.cpp
index c070258db5..4f9b86c0b4 100644
--- a/source/source_lcao/module_gint/temp_gint/gint_vl_nspin4_gpu.cpp
+++ b/source/source_lcao/module_gint/temp_gint/gint_vl_nspin4_gpu.cpp
@@ -13,8 +13,7 @@ void Gint_vl_nspin4_gpu::cal_gint()
     ModuleBase::timer::tick("Gint", "cal_gint_vl");
     init_hr_gint_();
     cal_hr_gint_();
-    compose_hr_gint(hr_gint_part_, hr_gint_full_);
-    transfer_hr_gint_to_hR(hr_gint_full_, *hR_);
+    merge_hr_part_to_hR(hr_gint_part_, hR_, *gint_info_);
     ModuleBase::timer::tick("Gint", "cal_gint_vl");
 }
 
@@ -25,8 +24,6 @@ void Gint_vl_nspin4_gpu::init_hr_gint_()
     {
         hr_gint_part_[i] = gint_info_->get_hr<double>();
     }
-    const int npol = 2;
-    hr_gint_full_ = gint_info_->get_hr<std::complex<double>>(npol);
 }
 
 void Gint_vl_nspin4_gpu::transfer_cpu_to_gpu_()
diff --git a/source/source_lcao/module_gint/temp_gint/gint_vl_nspin4_gpu.h b/source/source_lcao/module_gint/temp_gint/gint_vl_nspin4_gpu.h
index 81215b33ac..6d17a9a1bb 100644
--- a/source/source_lcao/module_gint/temp_gint/gint_vl_nspin4_gpu.h
+++ b/source/source_lcao/module_gint/temp_gint/gint_vl_nspin4_gpu.h
@@ -44,7 +44,6 @@ class Gint_vl_nspin4_gpu : public Gint
     const int nspin_ = 4;
 
     std::vector<HContainer<double>> hr_gint_part_;
-    HContainer<std::complex<double>> hr_gint_full_;
     
     std::vector<CudaMemWrapper<double>> vr_eff_d_;
     std::vector<CudaMemWrapper<double>> hr_gint_part_d_;
diff --git a/source/source_lcao/module_lr/utils/gint_move.hpp b/source/source_lcao/module_lr/utils/gint_move.hpp
index 6b4a8c82e6..b7c01118ef 100644
--- a/source/source_lcao/module_lr/utils/gint_move.hpp
+++ b/source/source_lcao/module_lr/utils/gint_move.hpp
@@ -47,19 +47,19 @@ Gint& Gint::operator=(Gint&& rhs)
     rhs.hRGint = nullptr;
     this->hRGintCd = rhs.hRGintCd;
     rhs.hRGintCd = nullptr;
-    for (int i = 0; i < this->DMRGint.size(); i++)
+    for (int i = 0; i < this->dmr_gint.size(); i++)
     {
-        delete this->DMRGint[i];
+        delete this->dmr_gint[i];
     }
-    for (int i = 0; i < this->hRGint_tmp.size(); i++)
+    for (int i = 0; i < this->hr_gint_tmp .size(); i++)
     {
-        delete this->hRGint_tmp[i];
+        delete this->hr_gint_tmp [i];
     }
     this->pvdpRx_reduced = std::move(rhs.pvdpRx_reduced);
     this->pvdpRy_reduced = std::move(rhs.pvdpRy_reduced);
     this->pvdpRz_reduced = std::move(rhs.pvdpRz_reduced);
-    this->DMRGint = std::move(rhs.DMRGint);
-    this->hRGint_tmp = std::move(rhs.hRGint_tmp);
+    this->dmr_gint = std::move(rhs.dmr_gint);
+    this->hr_gint_tmp  = std::move(rhs.hr_gint_tmp );
     this->dm2d_tmp = rhs.dm2d_tmp;
     rhs.dm2d_tmp = nullptr;