1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
|
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#ifdef nompi
#include "mimic_mpi.h"
#else
#include <mpi.h>
#endif
#include "tran_prototypes.h"
#include "lapack_prototypes.h"
/*
* calculate transmission
*
* input: SigmaL, SigmaR, G_CC^R(w)
* assuming w= w+i delta
*
* Gamma(w) = i (Sigma^R(w) - Sigma^A(w))
*
* T(w) = Trace[ Gamma_L(w) G^R(w) Gamma_R(w) G^A(w) ]
*
* work: v1,v2 dcomplex size=nc*nc
*/
void TRAN_Calc_OneTransmission(
int nc,
dcomplex *SigmaL_R, /* at w, changed when exit */
dcomplex *SigmaL_A, /* at w, changed when exit */
dcomplex *SigmaR_R, /* at w, changed when exit */
dcomplex *SigmaR_A, /* at w, changed when exit */
dcomplex *GC_R, /* at w, changed when exit */
dcomplex *GC_A, /* at w, changed when exit */
dcomplex *v1, /* work */
dcomplex *v2, /* work */
dcomplex *value /* output, transmission */
)
#define SigmaL_R_ref(i,j) SigmaL_R[nc*((j)-1)+(i)-1]
#define SigmaL_A_ref(i,j) SigmaL_A[nc*((j)-1)+(i)-1]
#define SigmaR_R_ref(i,j) SigmaR_R[nc*((j)-1)+(i)-1]
#define SigmaR_A_ref(i,j) SigmaR_A[nc*((j)-1)+(i)-1]
#define GC_R_ref(i,j) GC_R[nc*((j)-1)+(i)-1]
#define GC_A_ref(i,j) GC_A[nc*((j)-1)+(i)-1]
#define v1_ref(i,j) v1[nc*((j)-1)+(i)-1]
{
int i,j;
dcomplex alpha,beta;
double tmpr,tmpi;
alpha.r=1.0; alpha.i=0.0;
beta.r=0.0; beta.i=0.0;
/* Gamma_l = i (Sigma_l^R-Sigma_l^A) */
for (j=1; j<=nc; j++) {
for (i=1; i<=nc; i++) {
tmpr = -(SigmaL_R_ref(i,j).i - SigmaL_A_ref(i,j).i);
tmpi = (SigmaL_R_ref(i,j).r - SigmaL_A_ref(i,j).r);
SigmaL_R_ref(i,j).r = tmpr;
SigmaL_R_ref(i,j).i = tmpi;
tmpr = -(SigmaR_R_ref(i,j).i - SigmaR_A_ref(i,j).i);
tmpi = (SigmaR_R_ref(i,j).r - SigmaR_A_ref(i,j).r);
SigmaR_R_ref(i,j).r = tmpr;
SigmaR_R_ref(i,j).i = tmpi;
}
}
/* sigma -> gamma */
/* transmission= tr[GammaL G^R GammaR G^A] */
/* GammaL * GR */
F77_NAME(zgemm,ZGEMM)("N","N", &nc,&nc,&nc, &alpha, SigmaL_R, &nc, GC_R, &nc, &beta, v1, &nc );
/* (GammaL * GR ) * GammaR */
F77_NAME(zgemm,ZGEMM)("N","N", &nc,&nc,&nc, &alpha, v1, &nc, SigmaR_R, &nc, &beta, v2, &nc );
/* (GammaL G^R GammaR ) * G^A */
F77_NAME(zgemm,ZGEMM)("N","N", &nc,&nc,&nc, &alpha, v2, &nc, GC_A, &nc, &beta, v1, &nc );
value->r=0.0; value->i = 0.0;
/* trace */
for (i=1;i<=nc;i++) {
/*
printf("i=%2d v1_ref(i,i).r=%15.12f\n",i,v1_ref(i,i).r);
*/
value->r += v1_ref(i,i).r;
value->i += v1_ref(i,i).i;
}
}
|
