static void TRAN_DFT_Kdependent(
/* input */
MPI_Comm comm1,
int parallel_mode,
int numprocs,
int myid,
int level_stdout,
int iter,
int SpinP_switch,
double k2,
double k3,
int k_op,
int *order_GA,
double **DM1,
double **DM2,
double **H1,
double **H2,
double *S1,
double *****nh, /* H */
double *****ImNL, /* not used, SO-coupling */
double ****CntOLP,
int atomnum,
int Matomnum,
int *WhatSpecies,
int *Spe_Total_CNO,
int *FNAN,
int **natn,
int **ncn,
int *M2G,
int *G2ID,
int **atv_ijk,
int *List_YOUSO,
/* output */
double *****CDM, /* output, charge density */
double *****EDM, /* not used */
double Eele0[2], double Eele1[2]) /* not used */
#define GC_ref(i,j) GC[ NUM_c*((j)-1) + (i)-1 ]
#define Gless_ref(i,j) Gless[ NUM_c*((j)-1) + (i)-1 ]
{
int i,j,k,iside,spinsize;
int *MP;
int iw,iw_method;
dcomplex w, w_weight;
dcomplex *GC_Ad;
dcomplex *GC,*GRL,*GRR;
dcomplex *SigmaL, *SigmaR;
dcomplex *SigmaL_Ad, *SigmaR_Ad;
dcomplex *work1,*work2,*Gless;
dcomplex **v2,*v20;
double dum;
double TStime,TEtime;
int MA_AN, GA_AN, wanA, tnoA, Anum;
int LB_AN, GB_AN, wanB, tnoB, Bnum;
int NUM_c0;
static int ID;
int Miw,iw0;
double time_a0, time_a1, time_a2;
/* setup MP */
/* TRAN_Set_MP(0, atomnum, WhatSpecies, Spe_Total_CNO, &NUM_c, &i); */
MP = (int*)malloc(sizeof(int)*(atomnum+1));
TRAN_Set_MP(1, atomnum, WhatSpecies, Spe_Total_CNO, &NUM_c, MP);
NUM_c0=NUM_c;
NUM_c=2*NUM_c;
/* initialize */
TRAN_Set_Value_double(SCC_nc,NUM_c*NUM_c, 0.0,0.0);
TRAN_Set_Value_double(SCL_nc,NUM_c*NUM_e[0], 0.0,0.0);
TRAN_Set_Value_double(SCR_nc,NUM_c*NUM_e[1], 0.0,0.0);
TRAN_Set_Value_double(HCC_nc,NUM_c*NUM_c, 0.0,0.0);
TRAN_Set_Value_double(HCL_nc,NUM_c*NUM_e[0], 0.0,0.0);
TRAN_Set_Value_double(HCR_nc,NUM_c*NUM_e[1], 0.0,0.0);
/* set Hamiltonian and overlap matrices of left and right leads */
TRAN_Set_SurfOverlap_NC(comm1,"left", k2, k3);
TRAN_Set_SurfOverlap_NC(comm1,"right",k2, k3);
/* set CC, CL and CR */
TRAN_Set_CentOverlap_NC( comm1,
3,
SpinP_switch,
k2,
k3,
order_GA,
H1,
H2,
S1,
nh, /* input */
CntOLP, /* input */
atomnum,
Matomnum,
M2G,
G2ID,
WhatSpecies,
Spe_Total_CNO,
FNAN,
natn,
ncn,
atv_ijk);
if (MEASURE_TIME){
dtime(&time_a0);
}
/* allocate */
v2 = (dcomplex**)malloc(sizeof(dcomplex*)*(SpinP_switch+1));
for (k=0; k<=SpinP_switch; k++) {
v2[k] = (dcomplex*)malloc(sizeof(dcomplex)*NUM_c0*NUM_c0);
TRAN_Set_Value_double( v2[k], NUM_c0*NUM_c0, 0.0, 0.0);
}
/* added by Y. Xiao */
v20 = (dcomplex*)malloc(sizeof(dcomplex)*NUM_c* NUM_c);
TRAN_Set_Value_double( v20, NUM_c*NUM_c, 0.0, 0.0);
GC = (dcomplex*)malloc(sizeof(dcomplex)*NUM_c* NUM_c);
GC_Ad = (dcomplex*)malloc(sizeof(dcomplex)*NUM_c* NUM_c);
GRL = (dcomplex*)malloc(sizeof(dcomplex)*NUM_e[0]* NUM_e[0]);
GRR = (dcomplex*)malloc(sizeof(dcomplex)*NUM_e[1]* NUM_e[1]);
SigmaL = (dcomplex*)malloc(sizeof(dcomplex)*NUM_c* NUM_c);
SigmaR = (dcomplex*)malloc(sizeof(dcomplex)*NUM_c* NUM_c);
SigmaL_Ad = (dcomplex*)malloc(sizeof(dcomplex)*NUM_c* NUM_c);
SigmaR_Ad = (dcomplex*)malloc(sizeof(dcomplex)*NUM_c* NUM_c);
work1 = (dcomplex*)malloc(sizeof(dcomplex)*NUM_c* NUM_c);
work2 = (dcomplex*)malloc(sizeof(dcomplex)*NUM_c* NUM_c);
Gless = (dcomplex*)malloc(sizeof(dcomplex)*NUM_c* NUM_c);
if (2<=level_stdout){
printf("NUM_c=%d, NUM_e= %d %d\n",NUM_c, NUM_e[0], NUM_e[1]);
printf("# of freq. to calculate G =%d\n",tran_omega_n_scf);
}
if (SpinP_switch==0) spinsize = 1;
else if (SpinP_switch==1) spinsize = 2;
else if (SpinP_switch==3) spinsize = 1; /* The three below lines are not used for NC cal. */
/**************************************************************
calculation of Green functions at k and iw
**************************************************************/
for ( Miw=myid; Miw<tran_omega_n_scf; Miw+=numprocs ) {
/* for ( Miw=myid; Miw<tran_omega_n_scf*spinsize; Miw+=numprocs ) { */
/* k = Miw/tran_omega_n_scf; */
/* iw = Miw - k*tran_omega_n_scf; */
iw = Miw;
w = tran_omega_scf[iw];
w_weight = tran_omega_weight_scf[iw];
iw_method = tran_integ_method_scf[iw];
/*
printf("Miw=%3d iw=%d of %d w=%le %le weight=%le %le method=%d\n",
Miw,iw,tran_omega_n_scf, w.r,w.i, w_weight.r, w_weight.i, iw_method);
*/
/* calculation of surface Green's function and self energy from the LEFT lead */
iside = 0;
TRAN_Calc_SurfGreen_direct(w, NUM_e[iside], H00_nc_e[iside], H01_nc_e[iside],
S00_nc_e[iside], S01_nc_e[iside], tran_surfgreen_iteration_max,
tran_surfgreen_eps, GRL);
TRAN_Calc_SelfEnergy(w, NUM_e[iside], GRL, NUM_c, HCL_nc, SCL_nc, SigmaL);
/* calculation of surface Green's function and self energy from the RIGHT lead */
iside = 1;
TRAN_Calc_SurfGreen_direct(w, NUM_e[iside], H00_nc_e[iside], H01_nc_e[iside],
S00_nc_e[iside], S01_nc_e[iside], tran_surfgreen_iteration_max,
tran_surfgreen_eps, GRR);
TRAN_Calc_SelfEnergy(w, NUM_e[iside], GRR, NUM_c, HCR_nc, SCR_nc, SigmaR);
/* calculation of central retarded Green's function */
TRAN_Calc_CentGreen(w, NUM_c, SigmaL, SigmaR, HCC_nc, SCC_nc, GC);
/***********************************************
The non-equilibrium part is calculated by
using the lesser Green's function.
***********************************************/
/* calculation of central advanced Green's function */
if (iw_method==2){
/* conjugate complex */
w.i = -w.i;
/* calculation of surface Green's function and self energy from the LEFT lead */
iside = 0;
TRAN_Calc_SurfGreen_direct(w, NUM_e[iside], H00_nc_e[iside], H01_nc_e[iside],
S00_nc_e[iside], S01_nc_e[iside], tran_surfgreen_iteration_max,
tran_surfgreen_eps, GRL);
TRAN_Calc_SelfEnergy(w, NUM_e[iside], GRL, NUM_c, HCL_nc, SCL_nc, SigmaL_Ad);
/* calculation of surface Green's function and self energy from the RIGHT lead */
iside = 1;
TRAN_Calc_SurfGreen_direct(w, NUM_e[iside], H00_nc_e[iside], H01_nc_e[iside],
S00_nc_e[iside], S01_nc_e[iside], tran_surfgreen_iteration_max,
tran_surfgreen_eps, GRR);
TRAN_Calc_SelfEnergy(w, NUM_e[iside], GRR, NUM_c, HCR_nc, SCR_nc, SigmaR_Ad);
/* calculation of central advanced Green's function */
TRAN_Calc_CentGreen(w, NUM_c, SigmaL_Ad, SigmaR_Ad, HCC_nc, SCC_nc, GC_Ad);
/* conjugate complex */
w.i = -w.i;
/* calculation of central lesser Green's function */
TRAN_Calc_CentGreenLesser( w, ChemP_e, NUM_c,
Order_Lead_Side,
SigmaL, SigmaL_Ad,
SigmaR, SigmaR_Ad,
GC, GC_Ad,
HCC_nc, SCC_nc,
work1, work2, Gless);
} /* if (iw_method==2) */
/***********************************************
add it to construct the density matrix
***********************************************/
if (iw_method==1)
TRAN_Add_MAT( 1, NUM_c, w_weight, GC, v20);
else if (iw_method==2)
TRAN_Add_MAT( 1, NUM_c, w_weight, Gless, v20);
} /* iw */
if (MEASURE_TIME){
dtime(&time_a1);
}
/* distribution of spin-spin */
for (i=1; i<=NUM_c0; i++) {
for (j=1; j<=NUM_c0; j++) {
/* alpha-alpha */
v2[0][(j-1)*NUM_c0+(i)-1].r = v20[(j-1)*NUM_c+(i)-1].r;
v2[0][(j-1)*NUM_c0+(i)-1].i = v20[(j-1)*NUM_c+(i)-1].i;
/* beta-beta */
v2[1][(j-1)*NUM_c0+(i)-1].r = v20[(j+NUM_c0-1)*NUM_c+(i+NUM_c0)-1].r;
v2[1][(j-1)*NUM_c0+(i)-1].i = v20[(j+NUM_c0-1)*NUM_c+(i+NUM_c0)-1].i;
/* alpha-beta */
v2[2][(j-1)*NUM_c0+(i)-1].r = v20[(j+NUM_c0-1)*NUM_c+(i)-1].r;
v2[2][(j-1)*NUM_c0+(i)-1].i = v20[(j+NUM_c0-1)*NUM_c+(i)-1].i;
/* beta-alpha */
v2[3][(j-1)*NUM_c0+(i)-1].r = v20[(j-1)*NUM_c+(i+NUM_c0)-1].r;
v2[3][(j-1)*NUM_c0+(i)-1].i = v20[(j-1)*NUM_c+(i+NUM_c0)-1].i;
}
}
/***********************************************
calculation of density matrix
***********************************************/
{
int l1,l2,l3,RnB;
int size_v3,itot,itot0,size_temp;
double kRn,si,co,re,im;
double *my_v3;
double *v3;
dcomplex **DM1_temp;
/* find the size of v3 */
size_v3 = 0;
size_temp = 0;
for (GA_AN=1; GA_AN<=atomnum; GA_AN++) {
wanA = WhatSpecies[GA_AN];
tnoA = Spe_Total_CNO[wanA];
Anum = MP[GA_AN];
for (LB_AN=0; LB_AN<=FNAN[GA_AN]; LB_AN++){
GB_AN = natn[GA_AN][LB_AN];
wanB = WhatSpecies[GB_AN];
tnoB = Spe_Total_CNO[wanB];
Bnum = MP[GB_AN];
for (i=0; i<tnoA; i++) {
for (j=0; j<tnoB; j++) {
size_v3++;
size_v3++;
size_temp++;
}
}
}
}
/* allocate arrays */
my_v3 = (double*)malloc(sizeof(double)*size_v3);
v3 = (double*)malloc(sizeof(double)*size_v3);
/* allocate a temporal array for DM1 */
DM1_temp = (dcomplex**)malloc(sizeof(dcomplex*)*(SpinP_switch+1));
for (k=0; k<=SpinP_switch; k++){
DM1_temp[k] = (dcomplex*)malloc(sizeof(dcomplex)*size_temp);
TRAN_Set_Value_double( DM1_temp[k], size_temp, 0.0, 0.0);
}
/* set up v3 */
#define v_idx(i,j) ( ((j)-1)*NUM_c0 + (i)-1 )
for (k=0; k<=SpinP_switch; k++) {
itot = 0;
for (GA_AN=1; GA_AN<=atomnum; GA_AN++) {
wanA = WhatSpecies[GA_AN];
tnoA = Spe_Total_CNO[wanA];
Anum = MP[GA_AN];
for (LB_AN=0; LB_AN<=FNAN[GA_AN]; LB_AN++){
GB_AN = natn[GA_AN][LB_AN];
wanB = WhatSpecies[GB_AN];
tnoB = Spe_Total_CNO[wanB];
Bnum = MP[GB_AN];
for (i=0; i<tnoA; i++) {
for (j=0; j<tnoB; j++) {
my_v3[itot++] = v2[k][ v_idx( Anum+i, Bnum+j) ].r;
my_v3[itot++] = v2[k][ v_idx( Anum+i, Bnum+j) ].i;
}
}
}
}
if (parallel_mode){
MPI_Allreduce( my_v3, v3, itot, MPI_DOUBLE, MPI_SUM, comm1);
}
else {
for (i=0; i<itot; i++) {
v3[i] = my_v3[i];
}
}
/* v3 -> CDM */
itot = 0;
itot0 = 0;
for (GA_AN=1; GA_AN<=atomnum; GA_AN++) {
wanA = WhatSpecies[GA_AN];
tnoA = Spe_Total_CNO[wanA];
Anum = MP[GA_AN];
for (LB_AN=0; LB_AN<=FNAN[GA_AN]; LB_AN++){
GB_AN = natn[GA_AN][LB_AN];
RnB = ncn[GA_AN][LB_AN];
wanB = WhatSpecies[GB_AN];
tnoB = Spe_Total_CNO[wanB];
Bnum = MP[GB_AN];
l1 = atv_ijk[RnB][1];
l2 = atv_ijk[RnB][2];
l3 = atv_ijk[RnB][3];
kRn = k2*(double)l2 + k3*(double)l3;
si = (double)k_op*sin(2.0*PI*kRn);
co = (double)k_op*cos(2.0*PI*kRn);
for (i=0; i<tnoA; i++) {
for (j=0; j<tnoB; j++) {
re = v3[itot++];
im = v3[itot++];
/* divided by numprocs due to the later MPI_Allreduce */
DM1_temp[k][itot0].r += (re*co + im*si)/(double)numprocs;
DM1_temp[k][itot0].i += (im*co - re*si)/(double)numprocs;
itot0++;
}
}
}
}
} /* k */
/* transfer the value of DM1_temp to DM1 */
for (i=0; i<size_temp; i++) {
DM1[0][i] += DM1_temp[0][i].r;
DM1[1][i] += DM1_temp[1][i].r;
DM1[2][i] += DM1_temp[2][i].r;
DM1[3][i] -= DM1_temp[2][i].i;
DM2[0][i] += DM1_temp[0][i].i;
DM2[1][i] += DM1_temp[1][i].i;
}
/* free arrays */
free(my_v3);
free(v3);
for (i=0; i<=SpinP_switch; i++){
free(DM1_temp[i]);
}
free(DM1_temp);
}
if (MEASURE_TIME){
MPI_Barrier(comm1);
dtime(&time_a2);
printf("TRAN_DFT(%d)> calculaiton (%le)\n",myid, time_a1-time_a0 );
}
/* free arrays */
free(Gless);
free(work2);
free(work1);
free(SigmaL_Ad);
free(SigmaR_Ad);
free(SigmaR);
free(SigmaL);
free(GRR);
free(GRL);
free(GC_Ad);
free(GC);
for (k=0; k<=SpinP_switch; k++) {
free(v2[k]);
}
free(v2);
free(v20);
free(MP);
}
static void TRAN_DFT_Kdependent(
/* input */
MPI_Comm comm1,
int parallel_mode,
int numprocs,
int myid,
int level_stdout,
int iter,
int SpinP_switch,
double k2,
double k3,
int k_op,
int *order_GA,
double **DM1,
double **H1,
double *S1,
double *****nh, /* H */
double *****ImNL, /* not used, SO-coupling */
double ****CntOLP,
int atomnum,
int Matomnum,
int *WhatSpecies,
int *Spe_Total_CNO,
int *FNAN,
int **natn,
int **ncn,
int *M2G,
int *G2ID,
int **atv_ijk,
int *List_YOUSO,
/* output */
double *****CDM, /* output, charge density */
double *****EDM, /* not used */
double Eele0[2], double Eele1[2]) /* not used */
#define GC_ref(i,j) GC[ NUM_c*((j)-1) + (i)-1 ]
#define Gless_ref(i,j) Gless[ NUM_c*((j)-1) + (i)-1 ]
{
int i,j,k,iside;
int *MP;
int iw,iw_method;
dcomplex w, w_weight;
dcomplex *GC,*GRL,*GRR,*SigmaL, *SigmaR;
dcomplex *v1,*Gless,*GCLorR;
dcomplex **v2;
double dum;
double TStime,TEtime;
int MA_AN, GA_AN, wanA, tnoA, Anum;
int LB_AN, GB_AN, wanB, tnoB, Bnum;
/* debug */
double **Density;
double density_sum;
/* end debug*/
static int ID;
int **iwIdx, Miwmax, Miw,iw0;
double time_a0, time_a1, time_a2;
/* parallel setup */
iwIdx=(int**)malloc(sizeof(int*)*numprocs);
Miwmax = (tran_omega_n_scf)/numprocs+1;
for (i=0; i<numprocs; i++) {
iwIdx[i]=(int*)malloc(sizeof(int)*Miwmax);
}
TRAN_Distribute_Node_Idx(0, tran_omega_n_scf-1, numprocs, Miwmax,
iwIdx); /* output */
/* setup MP */
TRAN_Set_MP(0, atomnum, WhatSpecies, Spe_Total_CNO, &NUM_c, MP);
MP = (int*)malloc(sizeof(int)*(NUM_c+1));
TRAN_Set_MP(1, atomnum, WhatSpecies, Spe_Total_CNO, &NUM_c, MP);
/*debug */
if (WRITE_DENSITY){
Density = (double**)malloc(sizeof(double*)*(SpinP_switch+1));
for (k=0;k<=SpinP_switch;k++) {
Density[k] = (double*)malloc(sizeof(double)*NUM_c);
for (i=0;i<NUM_c;i++) { Density[k][i]=0.0; }
}
}
/*end debug */
/* initialize */
TRAN_Set_Value_double(SCC,NUM_c*NUM_c, 0.0,0.0);
TRAN_Set_Value_double(SCL,NUM_c*NUM_e[0], 0.0,0.0);
TRAN_Set_Value_double(SCR,NUM_c*NUM_e[1], 0.0,0.0);
for (k=0; k<=SpinP_switch; k++) {
TRAN_Set_Value_double(HCC[k],NUM_c*NUM_c, 0.0,0.0);
TRAN_Set_Value_double(HCL[k],NUM_c*NUM_e[0], 0.0,0.0);
TRAN_Set_Value_double(HCR[k],NUM_c*NUM_e[1], 0.0,0.0);
}
/* set Hamiltonian and overlap matrices of left and right leads */
TRAN_Set_SurfOverlap(comm1,"left", k2, k3);
TRAN_Set_SurfOverlap(comm1,"right",k2, k3);
/* set CC, CL and CR */
TRAN_Set_CentOverlap( comm1,
3,
SpinP_switch,
k2,
k3,
order_GA,
H1,
S1,
nh, /* input */
CntOLP, /* input */
atomnum,
Matomnum,
M2G,
G2ID,
WhatSpecies,
Spe_Total_CNO,
FNAN,
natn,
ncn,
atv_ijk);
if (MEASURE_TIME){
dtime(&time_a0);
}
/* allocate */
v2 = (dcomplex**)malloc(sizeof(dcomplex*)*(SpinP_switch+1));
for (k=0; k<=SpinP_switch; k++) {
v2[k] = (dcomplex*)malloc(sizeof(dcomplex)*NUM_c*NUM_c);
TRAN_Set_Value_double( v2[k], NUM_c*NUM_c, 0.0, 0.0);
}
GC = (dcomplex*)malloc(sizeof(dcomplex)*NUM_c* NUM_c);
GRL = (dcomplex*)malloc(sizeof(dcomplex)*NUM_e[0]* NUM_e[0]);
GRR = (dcomplex*)malloc(sizeof(dcomplex)*NUM_e[1]* NUM_e[1]);
SigmaL = (dcomplex*)malloc(sizeof(dcomplex)*NUM_c* NUM_c);
SigmaR = (dcomplex*)malloc(sizeof(dcomplex)*NUM_c* NUM_c);
v1 = (dcomplex*)malloc(sizeof(dcomplex)*NUM_c* NUM_c);
Gless = (dcomplex*)malloc(sizeof(dcomplex)*NUM_c* NUM_c);
GCLorR = (dcomplex*)malloc(sizeof(dcomplex)*NUM_c* NUM_c);
if (2<=level_stdout){
printf("NUM_c=%d, NUM_e= %d %d\n",NUM_c, NUM_e[0], NUM_e[1]);
printf("# of freq. to calculate G =%d\n",tran_omega_n_scf);
}
/*parallel global iw 0:tran_omega_n_scf-1 */
/*parallel local Miw 0:Miwmax-1 */
/*parllel variable iw=iwIdx[myid][Miw] */
for (Miw=0; Miw<Miwmax; Miw++) {
iw = iwIdx[myid][Miw];
if (iw>=0) {
w = tran_omega_scf[iw];
w_weight = tran_omega_weight_scf[iw];
iw_method = tran_integ_method_scf[iw];
}
/*
printf("Miwmax=%3d Miw=%3d iw=%d of %d w=%le %le weight=%le %le method=%d\n",
Miwmax,Miw,iw,tran_omega_n_scf, w.r,w.i, w_weight.r, w_weight.i, iw_method);
*/
for (k=0; k<=SpinP_switch; k++) {
if (iw>=0) {
iside=0;
TRAN_Calc_SurfGreen_direct(w,NUM_e[iside], H00_e[iside][k],H01_e[iside][k],
S00_e[iside], S01_e[iside], tran_surfgreen_iteration_max,
tran_surfgreen_eps, GRL);
TRAN_Calc_SelfEnergy(w, NUM_e[iside], GRL, NUM_c, HCL[k], SCL, SigmaL);
iside=1;
TRAN_Calc_SurfGreen_direct(w,NUM_e[iside], H00_e[iside][k],H01_e[iside][k],
S00_e[iside], S01_e[iside], tran_surfgreen_iteration_max,
tran_surfgreen_eps, GRR);
TRAN_Calc_SelfEnergy(w, NUM_e[iside], GRR, NUM_c, HCR[k], SCR, SigmaR);
TRAN_Calc_CentGreen(w, NUM_c, SigmaL,SigmaR, HCC[k], SCC, GC);
/***********************************************
G_{C}
***********************************************/
if (iw_method==1) {
/* start debug */
if (WRITE_DENSITY){
for (i=0;i<NUM_c;i++) {
/* imag( GC * weight ) */
Density[k][i] += GC_ref(i+1,i+1).r*w_weight.i + GC_ref(i+1,i+1).i*w_weight.r;
}
}
/* end debug */
} /* iw_method */
/***********************************************
based on the lesser Green's function
***********************************************/
else if (iw_method==2) {
if (2<=level_stdout){
printf("G_Lesser, iw=%d (of %d) w=%le %le\n",iw,tran_omega_n_scf,w.r, w.i);
}
TRAN_Calc_CentGreenLesser(w, ChemP_e, NUM_c, SigmaL,SigmaR,GC,v1, Gless);
#ifdef DEBUG
TRAN_Print2_dcomplex("Gless",NUM_c,NUM_c,Gless);
printf("exit after TRAN_Print2_dcomplex Gless\n");
exit(0);
#endif
if (WRITE_DENSITY){
/* real( Gless * w_weight ) */
for (i=0;i<NUM_c;i++) {
Density[k][i] += Gless_ref(i+1,i+1).r*w_weight.r - Gless_ref(i+1,i+1).i*w_weight.i;
}
/* printf("iw=%d w=%lf %lf weight=%lf %lf GC=%lf %lf, val=%lf\n",
* iw,w.r , w.i, w_weight.r, w_weight.i, Density[k][0]);
*/
/*end debug */
}
}
/***********************************************
G_{C_L} in the non-equilibrium case
based on the GaussHG method
***********************************************/
else if (iw_method==3){
TRAN_Calc_GC_LorR(iw_method, w, ChemP_e, NUM_c, NUM_e, SigmaL, GC, HCC[k], SCC, v1, GCLorR);
}
/***********************************************
G_{C_R} in the non-equilibrium case
based on the GaussHG method
***********************************************/
else if (iw_method==4){
TRAN_Calc_GC_LorR(iw_method, w, ChemP_e, NUM_c, NUM_e, SigmaR, GC, HCC[k], SCC, v1, GCLorR);
}
else {
printf("error, iw_method=%d",iw_method);
exit(10);
}
/***********************************************
add it to construct the density matrix
***********************************************/
if (iw_method==1) {
TRAN_Add_MAT( 1, NUM_c, w_weight, GC, v2[k]);
}
else if (iw_method==2) {
TRAN_Add_MAT( 2, NUM_c, w_weight, Gless, v2[k]);
}
else if (iw_method==3) {
TRAN_Add_MAT( 1, NUM_c, w_weight, GCLorR, v2[k]);
}
else if (iw_method==4) {
TRAN_Add_MAT( 1, NUM_c, w_weight, GCLorR, v2[k]);
}
} /* iw>=0 */
} /* for k */
} /* iw */
if (MEASURE_TIME){
dtime(&time_a1);
}
free(GCLorR);
free(Gless);
free(v1);
free(SigmaR);
free(SigmaL);
free(GRR);
free(GRL);
free(GC);
/***********************************************
calculation of density matrix
***********************************************/
{
int l1,l2,l3,RnB;
int size_v3,itot,itot0;
double kRn,si,co,re,im;
double *my_v3;
double *v3;
/* find the size of v3 */
size_v3 = 0;
for (GA_AN=1; GA_AN<=atomnum; GA_AN++) {
wanA = WhatSpecies[GA_AN];
tnoA = Spe_Total_CNO[wanA];
Anum = MP[GA_AN];
for (LB_AN=0; LB_AN<=FNAN[GA_AN]; LB_AN++){
GB_AN = natn[GA_AN][LB_AN];
wanB = WhatSpecies[GB_AN];
tnoB = Spe_Total_CNO[wanB];
Bnum = MP[GB_AN];
for (i=0;i<tnoA;i++) {
for (j=0;j<tnoB;j++) {
size_v3++;
size_v3++;
}
}
}
}
/* allocate arrays */
my_v3 = (double*)malloc(sizeof(double)*size_v3);
v3 = (double*)malloc(sizeof(double)*size_v3);
/* set up v3 */
#define v_idx(i,j) ( ((j)-1)*NUM_c + (i)-1 )
for (k=0; k<=SpinP_switch; k++) {
itot = 0;
for (GA_AN=1; GA_AN<=atomnum; GA_AN++) {
wanA = WhatSpecies[GA_AN];
tnoA = Spe_Total_CNO[wanA];
Anum = MP[GA_AN];
for (LB_AN=0; LB_AN<=FNAN[GA_AN]; LB_AN++){
GB_AN = natn[GA_AN][LB_AN];
wanB = WhatSpecies[GB_AN];
tnoB = Spe_Total_CNO[wanB];
Bnum = MP[GB_AN];
for (i=0;i<tnoA;i++) {
for (j=0;j<tnoB;j++) {
my_v3[itot++] = v2[k][ v_idx( Anum+i, Bnum+j) ].r;
my_v3[itot++] = v2[k][ v_idx( Anum+i, Bnum+j) ].i;
}
}
}
}
if (parallel_mode){
MPI_Allreduce( my_v3, v3, itot, MPI_DOUBLE, MPI_SUM, comm1);
}
else {
for (i=0; i<itot; i++) {
v3[i] = my_v3[i];
}
}
/* v3 -> CDM */
itot = 0;
itot0 = 0;
for (GA_AN=1; GA_AN<=atomnum; GA_AN++) {
wanA = WhatSpecies[GA_AN];
tnoA = Spe_Total_CNO[wanA];
Anum = MP[GA_AN];
for (LB_AN=0; LB_AN<=FNAN[GA_AN]; LB_AN++){
GB_AN = natn[GA_AN][LB_AN];
RnB = ncn[GA_AN][LB_AN];
wanB = WhatSpecies[GB_AN];
tnoB = Spe_Total_CNO[wanB];
Bnum = MP[GB_AN];
l1 = atv_ijk[RnB][1];
l2 = atv_ijk[RnB][2];
l3 = atv_ijk[RnB][3];
kRn = k2*(double)l2 + k3*(double)l3;
si = (double)k_op*sin(2.0*PI*kRn);
co = (double)k_op*cos(2.0*PI*kRn);
for (i=0;i<tnoA;i++) {
for (j=0;j<tnoB;j++) {
re = v3[itot++];
im = v3[itot++];
DM1[k][itot0++] += (re*co + im*si)/(double)numprocs;
}
}
}
}
} /* k */
/* free arrays */
free(my_v3);
free(v3);
}
if (MEASURE_TIME){
MPI_Barrier(comm1);
dtime(&time_a2);
printf("TRAN_DFT(%d)> calculaiton (%le)\n",myid, time_a1-time_a0 );
}
/* free arrays */
for (k=0; k<=SpinP_switch; k++) {
free(v2[k]);
}
free(v2);
if (WRITE_DENSITY){
for (k=SpinP_switch; k>=0; k--) {
free(Density[k]);
}
free(Density);
}
free(MP);
for (i=0;i<numprocs;i++) {
free(iwIdx[i]);
}
free(iwIdx);
}