-
Notifications
You must be signed in to change notification settings - Fork 7
Expand file tree
/
Copy pathsusInt.h
More file actions
251 lines (185 loc) · 7.7 KB
/
susInt.h
File metadata and controls
251 lines (185 loc) · 7.7 KB
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
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
//-*-C++-*-
#ifndef SUSINT_H
#define SUSINT_H
#include "math.h"
namespace rpa {
// General Function needed in suscept. calculation
template<typename FieldType>
inline FieldType susInt(const FieldType& e1, const FieldType& e2,
const FieldType& invT) {
FieldType sus(0);
if (e1!=e2)
{
FieldType xx1(e1*invT);
FieldType xx2(e2*invT);
FieldType r1 = PsimagLite::fermi(xx1)-PsimagLite::fermi(xx2);
sus = r1/(e2-e1);
} else
{
FieldType r1(2.*cosh(0.5*e1*invT));
sus = invT/(r1*r1);
}
return sus;
}
template<typename FieldType>
inline std::complex<FieldType> susInt(const FieldType& e1, const FieldType& e2,
const FieldType& invT, const FieldType& omega,
const FieldType& damp=FieldType(1.0e-3)) {
if (omega==0) return susInt(e1, e2, invT);
std::complex<FieldType> sus(0);
FieldType xx1(e1*invT);
FieldType xx2((e2)*invT);
FieldType r1 = PsimagLite::fermi(xx1)-PsimagLite::fermi(xx2);
sus = r1/(e2-e1+omega+std::complex<FieldType>(0.0,damp));
return sus;
}
// template<typename FieldType>
// inline std::complex<FieldType> susIntBCS(const FieldType& e1, const FieldType& e2,
// const std::complex<FieldType>& gap1,
// const std::complex<FieldType>& gap2,
// const FieldType& invT, const FieldType& omega,
// const FieldType& damp=FieldType(1.0e-3),
// const FieldType& signF = -1) {
// std::complex<FieldType> sus(0);
// FieldType r1(std::norm(gap1));
// FieldType r2(std::norm(gap2));
// FieldType EnergyBCS1(sqrt(pow(e1,2)+r1));
// FieldType EnergyBCS2(sqrt(pow(e2,2)+r2));
// r1 = e1/EnergyBCS1;
// r2 = e2/EnergyBCS2;
// FieldType uk1(0),vk1(0),uk2(0),vk2(0);
// if (EnergyBCS1==0.0) {uk1=0.0; vk1=1.0;}
// else {uk1 = 0.5*(1.0+r1); vk1 = 0.5*(1.0-r1);}
// if (EnergyBCS2==0.0) {uk2=0.0; vk2=1.0;}
// else {uk2 = 0.5*(1.0+r2); vk2 = 0.5*(1.0-r2);}
// r1 = -signF * 0.25 * real(gap1*conj(gap2))/(EnergyBCS1*EnergyBCS2);
// FieldType skq1(uk1*uk2+r1);
// FieldType skq2(vk1*vk2+r1);
// FieldType skq3(uk1*vk2-r1);
// FieldType skq4(vk1*uk2-r1);
// sus = susInt(+EnergyBCS1,+EnergyBCS2,invT,omega,damp) * skq1
// + susInt(-EnergyBCS1,-EnergyBCS2,invT,omega,damp) * skq2
// + susInt(+EnergyBCS1,-EnergyBCS2,invT,omega,damp) * skq3
// + susInt(-EnergyBCS1,+EnergyBCS2,invT,omega,damp) * skq4;
// return sus;
// }
template<typename FieldType>
inline std::complex<FieldType> susIntBCS(const FieldType& e1, const FieldType& e2,
const std::complex<FieldType>& gap1,
const std::complex<FieldType>& gap2,
const FieldType& invT, const FieldType& omega,
const FieldType& damp=FieldType(1.0e-3),
const FieldType& signF = 1) {
std::complex<FieldType> sus(0);
FieldType uk1(0),vk1(0),uk2(0),vk2(0),r1(0),r2(0);
FieldType Delta1s(std::norm(gap1));
FieldType Delta2s(std::norm(gap2));
if (Delta1s == 0 && Delta2s == 0) {
return susInt(e1,e2,invT,omega,damp);
} else if (Delta1s == 0 && Delta2s != 0) {
FieldType EnergyBCS2(sqrt(pow(e2,2)+Delta2s));
r2 = e2 / EnergyBCS2;
uk2 = 0.5*(1.0+r2); vk2 = 0.5*(1.0-r2);
return susInt(e1,EnergyBCS2,invT,omega,damp) * uk2 + susInt(e1,-EnergyBCS2,invT,omega,damp) * vk2;
} else if (Delta1s != 0 && Delta2s == 0) {
FieldType EnergyBCS1(sqrt(pow(e1,2)+Delta1s));
r1 = e1 / EnergyBCS1;
uk1 = 0.5*(1.0+r1); vk1 = 0.5*(1.0-r1);
return susInt(EnergyBCS1,e2,invT,omega,damp) * uk1 + susInt(-EnergyBCS1,e2,invT,omega,damp) * vk1;
} else {
FieldType EnergyBCS1(sqrt(pow(e1,2)+Delta1s));
FieldType EnergyBCS2(sqrt(pow(e2,2)+Delta2s));
r1 = e1 / EnergyBCS1; r2 = e2 / EnergyBCS2;
uk1 = 0.5*(1.0+r1); vk1 = 0.5*(1.0-r1);
uk2 = 0.5*(1.0+r2); vk2 = 0.5*(1.0-r2);
r1 = signF * 0.25 * real(gap1*conj(gap2))/(EnergyBCS1*EnergyBCS2);
FieldType skq1(uk1*uk2+r1);
FieldType skq2(vk1*vk2+r1);
FieldType skq3(uk1*vk2-r1);
FieldType skq4(vk1*uk2-r1);
sus = susInt(+EnergyBCS1,+EnergyBCS2,invT,omega,damp) * skq1
+ susInt(-EnergyBCS1,-EnergyBCS2,invT,omega,damp) * skq2
+ susInt(+EnergyBCS1,-EnergyBCS2,invT,omega,damp) * skq3
+ susInt(-EnergyBCS1,+EnergyBCS2,invT,omega,damp) * skq4;
return sus;
}
}
template<typename FieldType>
inline std::complex<FieldType> susIntBCSGG(const FieldType& e1, const FieldType& e2,
const std::complex<FieldType>& gap1,
const std::complex<FieldType>& gap2,
const FieldType& invT, const FieldType& omega,
const FieldType& damp=FieldType(1.0e-3)) {
std::complex<FieldType> sus(0);
FieldType uk1(0),vk1(0),uk2(0),vk2(0),r1(0),r2(0);
FieldType Delta1s(std::norm(gap1));
FieldType Delta2s(std::norm(gap2));
if (Delta1s == 0 && Delta2s == 0) {
if (omega==0) return susInt(e1,e2,invT);
else return susInt(e1,e2,invT,omega,damp);
} else if (Delta1s == 0 && Delta2s != 0) {
FieldType EnergyBCS2(sqrt(pow(e2,2)+Delta2s));
r2 = e2 / EnergyBCS2;
uk2 = 0.5*(1.0+r2); vk2 = 0.5*(1.0-r2);
if (omega==0) return susInt(e1,EnergyBCS2,invT) * uk2 + susInt(e1,-EnergyBCS2,invT) * vk2;
else return susInt(e1,EnergyBCS2,invT,omega,damp) * uk2 + susInt(e1,-EnergyBCS2,invT,omega,damp) * vk2;
} else if (Delta1s != 0 && Delta2s == 0) {
FieldType EnergyBCS1(sqrt(pow(e1,2)+Delta1s));
r1 = e1 / EnergyBCS1;
uk1 = 0.5*(1.0+r1); vk1 = 0.5*(1.0-r1);
if (omega==0) return susInt(EnergyBCS1,e2,invT) * uk1 + susInt(-EnergyBCS1,e2,invT) * vk1;
else return susInt(EnergyBCS1,e2,invT,omega,damp) * uk1 + susInt(-EnergyBCS1,e2,invT,omega,damp) * vk1;
} else {
FieldType EnergyBCS1(sqrt(pow(e1,2)+Delta1s));
FieldType EnergyBCS2(sqrt(pow(e2,2)+Delta2s));
r1 = e1 / EnergyBCS1; r2 = e2 / EnergyBCS2;
uk1 = 0.5*(1.0+r1); vk1 = 0.5*(1.0-r1);
uk2 = 0.5*(1.0+r2); vk2 = 0.5*(1.0-r2);
FieldType skq1(uk1*uk2);
FieldType skq2(vk1*vk2);
FieldType skq3(uk1*vk2);
FieldType skq4(vk1*uk2);
if (omega==0) {
sus = susInt(+EnergyBCS1,+EnergyBCS2,invT,omega,damp) * skq1
+ susInt(-EnergyBCS1,-EnergyBCS2,invT,omega,damp) * skq2
+ susInt(+EnergyBCS1,-EnergyBCS2,invT,omega,damp) * skq3
+ susInt(-EnergyBCS1,+EnergyBCS2,invT,omega,damp) * skq4;
} else {
sus = susInt(+EnergyBCS1,+EnergyBCS2,invT) * skq1
+ susInt(-EnergyBCS1,-EnergyBCS2,invT) * skq2
+ susInt(+EnergyBCS1,-EnergyBCS2,invT) * skq3
+ susInt(-EnergyBCS1,+EnergyBCS2,invT) * skq4;
}
return sus;
}
}
template<typename FieldType>
inline std::complex<FieldType> susIntBCSFF(const FieldType& e1, const FieldType& e2,
const std::complex<FieldType>& gap1,
const std::complex<FieldType>& gap2,
const FieldType& invT, const FieldType& omega,
const FieldType& damp=FieldType(1.0e-3),
const FieldType& signF = 1) {
std::complex<FieldType> sus(0);
std::complex<FieldType> r1(0);
FieldType Delta1s(std::norm(gap1));
FieldType Delta2s(std::norm(gap2));
if (Delta1s == 0 || Delta2s == 0) {
return std::complex<FieldType>(0.0,0.0);
} else {
FieldType EnergyBCS1(sqrt(pow(e1,2)+Delta1s));
FieldType EnergyBCS2(sqrt(pow(e2,2)+Delta2s));
// std::cout << "signF " << signF << "\n";
r1 = signF * 0.25 * conj(gap1)*gap2/(EnergyBCS1*EnergyBCS2);
// r1 = signF * 0.25 * real(conj(gap1)*gap2)/(EnergyBCS1*EnergyBCS2);
// std::cout << "gap1="<<gap1<<"\n";
// r1 = 1;
sus = susInt(+EnergyBCS1,+EnergyBCS2,invT,omega,damp)
+ susInt(-EnergyBCS1,-EnergyBCS2,invT,omega,damp)
- susInt(+EnergyBCS1,-EnergyBCS2,invT,omega,damp)
- susInt(-EnergyBCS1,+EnergyBCS2,invT,omega,damp);
return sus * r1;
}
}
}
#endif