diff --git a/source/module_hamilt_lcao/hamilt_lcaodft/LCAO_hamilt.hpp b/source/module_hamilt_lcao/hamilt_lcaodft/LCAO_hamilt.hpp
index e3d52324ef..42317c2df7 100644
--- a/source/module_hamilt_lcao/hamilt_lcaodft/LCAO_hamilt.hpp
+++ b/source/module_hamilt_lcao/hamilt_lcaodft/LCAO_hamilt.hpp
@@ -1,8 +1,4 @@
-//=======================
-// AUTHOR : Peize Lin
 #include "module_parameter/parameter.h"
-// DATE :   2022-09-13
-//=======================
 
 #ifndef LCAO_HAMILT_HPP
 #define LCAO_HAMILT_HPP
@@ -23,6 +19,7 @@
 
 #ifdef __EXX
 // Peize Lin add 2022.09.13
+
 template <typename Tdata>
 void sparse_format::cal_HR_exx(
     const Parallel_Orbitals& pv,
@@ -31,8 +28,8 @@ void sparse_format::cal_HR_exx(
     const double& sparse_threshold,
     const int (&nmp)[3],
     const std::vector<std::map<int,
-                               std::map<std::pair<int, std::array<int, 3>>,
-                                        RI::Tensor<Tdata>>>>& Hexxs) {
+                      std::map<std::pair<int, std::array<int, 3>>,
+                      RI::Tensor<Tdata>>>>& Hexxs) {
     ModuleBase::TITLE("sparse_format", "cal_HR_exx");
     ModuleBase::timer::tick("sparse_format", "cal_HR_exx");
 
@@ -45,7 +42,7 @@ void sparse_format::cal_HR_exx(
                 .tau[GlobalC::ucell.iat2ia[iat]]);
     }
     const std::array<std::array<double, 3>, 3> latvec
-        = {RI_Util::Vector3_to_array3(GlobalC::ucell.a1),
+        = {RI_Util::Vector3_to_array3(GlobalC::ucell.a1), // too bad to use GlobalC here, 
            RI_Util::Vector3_to_array3(GlobalC::ucell.a2),
            RI_Util::Vector3_to_array3(GlobalC::ucell.a3)};
 
@@ -58,18 +55,22 @@ void sparse_format::cal_HR_exx(
                                          ? std::vector<int>{current_spin}
                                          : std::vector<int>{0, 1, 2, 3};
 
-    for (const int is: is_list) {
+    for (const int is: is_list) 
+    {
         int is0_b = 0;
         int is1_b = 0;
         std::tie(is0_b, is1_b) = RI_2D_Comm::split_is_block(is);
 
-        if (Hexxs.empty()) {
+        if (Hexxs.empty()) 
+        {
             break;
         }
 
-        for (const auto& HexxA: Hexxs[is]) {
+        for (const auto& HexxA: Hexxs[is]) 
+        {
             const int iat0 = HexxA.first;
-            for (const auto& HexxB: HexxA.second) {
+            for (const auto& HexxB: HexxA.second) 
+            {
                 const int iat1 = HexxB.first.first;
 
                 const Abfs::Vector3_Order<int> R = RI_Util::array3_to_Vector3(
@@ -81,47 +82,60 @@ void sparse_format::cal_HR_exx(
 
                 const RI::Tensor<Tdata>& Hexx = HexxB.second;
 
-                for (size_t iw0 = 0; iw0 < Hexx.shape[0]; ++iw0) {
+                for (size_t iw0 = 0; iw0 < Hexx.shape[0]; ++iw0) 
+                {
                     const int iwt0 = RI_2D_Comm::get_iwt(iat0, iw0, is0_b);
                     const int iwt0_local = pv.global2local_row(iwt0);
 
-                    if (iwt0_local < 0) {
+                    if (iwt0_local < 0) 
+                    {
                         continue;
                     }
 
-                    for (size_t iw1 = 0; iw1 < Hexx.shape[1]; ++iw1) {
+                    for (size_t iw1 = 0; iw1 < Hexx.shape[1]; ++iw1) 
+                    {
                         const int iwt1 = RI_2D_Comm::get_iwt(iat1, iw1, is1_b);
                         const int iwt1_local = pv.global2local_col(iwt1);
 
-                        if (iwt1_local < 0) {
+                        if (iwt1_local < 0) 
+                        {
                             continue;
                         }
 
-                        if (std::abs(Hexx(iw0, iw1)) > sparse_threshold) {
-                            if (PARAM.inp.nspin == 1 || PARAM.inp.nspin == 2) {
+                        if (std::abs(Hexx(iw0, iw1)) > sparse_threshold) 
+                        {
+                            if (PARAM.inp.nspin == 1 || PARAM.inp.nspin == 2) 
+                            {
                                 auto& HR_sparse_ptr
                                     = HS_Arrays
                                           .HR_sparse[current_spin][R][iwt0];
                                 double& HR_sparse = HR_sparse_ptr[iwt1];
                                 HR_sparse += RI::Global_Func::convert<double>(
                                     frac * Hexx(iw0, iw1));
-                                if (std::abs(HR_sparse) <= sparse_threshold) {
+                                if (std::abs(HR_sparse) <= sparse_threshold) 
+                                {
                                     HR_sparse_ptr.erase(iwt1);
                                 }
-                            } else if (PARAM.inp.nspin == 4) {
+                            } 
+                            else if (PARAM.inp.nspin == 4) 
+                            {
                                 auto& HR_sparse_ptr
                                     = HS_Arrays.HR_soc_sparse[R][iwt0];
+                                
                                 std::complex<double>& HR_sparse
                                     = HR_sparse_ptr[iwt1];
+                                
                                 HR_sparse += RI::Global_Func::convert<
-                                    std::complex<double>>(frac
-                                                          * Hexx(iw0, iw1));
-                                if (std::abs(HR_sparse) <= sparse_threshold) {
+                                    std::complex<double>>(frac * Hexx(iw0, iw1));
+                                
+                                if (std::abs(HR_sparse) <= sparse_threshold) 
+                                {
                                     HR_sparse_ptr.erase(iwt1);
                                 }
-                            } else {
-                                throw std::invalid_argument(
-                                    std::string(__FILE__) + " line "
+                            } 
+                            else 
+                            {
+                                throw std::invalid_argument(std::string(__FILE__) + " line "
                                     + std::to_string(__LINE__));
                             }
                         }