diff --git a/source/module_hamilt_lcao/hamilt_lcaodft/operator_lcao/op_exx_lcao.hpp b/source/module_hamilt_lcao/hamilt_lcaodft/operator_lcao/op_exx_lcao.hpp
index c4c01f9cde..13572cc8e9 100644
--- a/source/module_hamilt_lcao/hamilt_lcaodft/operator_lcao/op_exx_lcao.hpp
+++ b/source/module_hamilt_lcao/hamilt_lcaodft/operator_lcao/op_exx_lcao.hpp
@@ -104,15 +104,40 @@ OperatorEXX<OperatorLCAO<TK, TR>>::OperatorEXX(HS_Matrix_K<TK>* hsk_in,
     if (PARAM.inp.calculation == "nscf" && GlobalC::exx_info.info_global.cal_exx)
     {    // if nscf, read HexxR first and reallocate hR according to the read-in HexxR
         const std::string file_name_exx = PARAM.globalv.global_readin_dir + "HexxR" + std::to_string(GlobalV::MY_RANK);
-        if (GlobalC::exx_info.info_ri.real_number)
+        bool all_exist = true;
+        for (int is=0;is<PARAM.inp.nspin;++is)
+        {
+            std::ifstream ifs(file_name_exx + "_" + std::to_string(is) + ".csr");
+            if (!ifs) { all_exist = false; break; }
+        }
+        if (all_exist)
         {
-            ModuleIO::read_Hexxs_csr(file_name_exx, GlobalC::ucell, PARAM.inp.nspin, PARAM.globalv.nlocal, *Hexxd);
-            if (this->add_hexx_type == Add_Hexx_Type::R) { reallocate_hcontainer(*Hexxd, this->hR); }
+            // Read HexxR in CSR format
+            if (GlobalC::exx_info.info_ri.real_number)
+            {
+                ModuleIO::read_Hexxs_csr(file_name_exx, GlobalC::ucell, PARAM.inp.nspin, PARAM.globalv.nlocal, *Hexxd);
+                if (this->add_hexx_type == Add_Hexx_Type::R) { reallocate_hcontainer(*Hexxd, this->hR); }
+            }
+            else
+            {
+                ModuleIO::read_Hexxs_csr(file_name_exx, GlobalC::ucell, PARAM.inp.nspin, PARAM.globalv.nlocal, *Hexxc);
+                if (this->add_hexx_type == Add_Hexx_Type::R) { reallocate_hcontainer(*Hexxc, this->hR); }
+            }
         }
         else
         {
-            ModuleIO::read_Hexxs_csr(file_name_exx, GlobalC::ucell, PARAM.inp.nspin, PARAM.globalv.nlocal, *Hexxc);
-            if (this->add_hexx_type == Add_Hexx_Type::R) { reallocate_hcontainer(*Hexxc, this->hR); }
+            // Read HexxR in binary format (old version)
+            const std::string file_name_exx_cereal = PARAM.globalv.global_readin_dir + "HexxR_" + std::to_string(GlobalV::MY_RANK);
+            if (GlobalC::exx_info.info_ri.real_number)
+            {
+                ModuleIO::read_Hexxs_cereal(file_name_exx_cereal, *Hexxd);
+                if (this->add_hexx_type == Add_Hexx_Type::R) { reallocate_hcontainer(*Hexxd, this->hR); }
+            }
+            else
+            {   
+                ModuleIO::read_Hexxs_cereal(file_name_exx_cereal, *Hexxc);
+                if (this->add_hexx_type == Add_Hexx_Type::R) { reallocate_hcontainer(*Hexxc, this->hR); }
+            }
         }
         this->use_cell_nearest = false;
     }
@@ -181,11 +206,32 @@ OperatorEXX<OperatorLCAO<TK, TR>>::OperatorEXX(HS_Matrix_K<TK>* hsk_in,
             {
                 // read in Hexx(R)
                 const std::string restart_HR_path = GlobalC::restart.folder + "HexxR" + std::to_string(GlobalV::MY_RANK);
-                if (GlobalC::exx_info.info_ri.real_number) {
-                    ModuleIO::read_Hexxs_csr(restart_HR_path, GlobalC::ucell, PARAM.inp.nspin, PARAM.globalv.nlocal, *Hexxd);
+                bool all_exist = true;
+                for (int is = 0; is < PARAM.inp.nspin; ++is)
+                {
+                    std::ifstream ifs(restart_HR_path + "_" + std::to_string(is) + ".csr");
+                    if (!ifs) { all_exist = false; break; }
+                }
+                if (all_exist)
+                {
+                    // Read HexxR in CSR format
+                    if (GlobalC::exx_info.info_ri.real_number) {
+                        ModuleIO::read_Hexxs_csr(restart_HR_path, GlobalC::ucell, PARAM.inp.nspin, PARAM.globalv.nlocal, *Hexxd);
+                    }
+                    else {
+                        ModuleIO::read_Hexxs_csr(restart_HR_path, GlobalC::ucell, PARAM.inp.nspin, PARAM.globalv.nlocal, *Hexxc);
+                    }
                 }
-                else {
-                    ModuleIO::read_Hexxs_csr(restart_HR_path, GlobalC::ucell, PARAM.inp.nspin, PARAM.globalv.nlocal, *Hexxc);
+                else
+                {
+                    // Read HexxR in binary format (old version)
+                    const std::string restart_HR_path_cereal = GlobalC::restart.folder + "HexxR_" + std::to_string(GlobalV::MY_RANK);
+                    if (GlobalC::exx_info.info_ri.real_number) {
+                        ModuleIO::read_Hexxs_cereal(restart_HR_path_cereal, *Hexxd);
+                    }
+                    else {
+                        ModuleIO::read_Hexxs_cereal(restart_HR_path_cereal, *Hexxc);
+                    }
                 }
             }
 
diff --git a/source/module_io/restart_exx_csr.h b/source/module_io/restart_exx_csr.h
index 7dbb778c2b..1eab69f4ef 100644
--- a/source/module_io/restart_exx_csr.h
+++ b/source/module_io/restart_exx_csr.h
@@ -1,6 +1,7 @@
 #pragma once
 #include "module_base/abfs-vector3_order.h"
 #include "module_cell/unitcell.h"
+#include "module_ri/serialization_cereal.h"
 #include <RI/global/Tensor.h>
 #include <map>
 
@@ -15,6 +16,11 @@ namespace ModuleIO
         const int nspin, const int nbasis,
         std::vector<std::map<int, std::map<TAC, RI::Tensor<Tdata>>>>& Hexxs);
 
+    /// read Hexxs in cereal format
+    template<typename Tdata>
+    void read_Hexxs_cereal(const std::string& file_name,
+        std::vector<std::map<int, std::map<TAC, RI::Tensor<Tdata>>>>& Hexxs);
+
     /// write Hexxs in CSR format
     template<typename Tdata>
     void write_Hexxs_csr(const std::string& file_name, const UnitCell& ucell,
diff --git a/source/module_io/restart_exx_csr.hpp b/source/module_io/restart_exx_csr.hpp
index e18a9d5a8d..6f6f3dd2ae 100644
--- a/source/module_io/restart_exx_csr.hpp
+++ b/source/module_io/restart_exx_csr.hpp
@@ -3,6 +3,7 @@
 #include "module_cell/unitcell.h"
 #include "module_io/csr_reader.h"
 #include "module_io/write_HS_sparse.h"
+#include "module_ri/serialization_cereal.h"
 #include <RI/global/Tensor.h>
 #include <map>
 
@@ -49,6 +50,18 @@ namespace ModuleIO
         }
     }
 
+    template<typename Tdata>
+    void read_Hexxs_cereal(const std::string& file_name, 
+        std::vector<std::map<int, std::map<TAC, RI::Tensor<Tdata>>>>& Hexxs)
+    {
+        ModuleBase::TITLE("Exx_LRI", "read_Hexxs_cereal");
+        ModuleBase::timer::tick("Exx_LRI", "read_Hexxs_cereal");
+        std::ifstream ifs(file_name, std::ios::binary);
+        cereal::BinaryInputArchive iar(ifs);
+        iar(Hexxs);
+        ModuleBase::timer::tick("Exx_LRI", "read_Hexxs_cereal");
+    }
+
     template<typename Tdata>
     std::map<Abfs::Vector3_Order<int>, std::map<size_t, std::map<size_t, Tdata>>>
         calculate_RI_Tensor_sparse(const double& sparse_threshold,