22 #include "StdFace_ModelUtil.h"    35   int isite, jsite, kCell, ntransMax, nintrMax;
    38   double complex Cphase;
    44   fp = fopen(
"lattice.gp", 
"w");
    48   fprintf(stdout, 
"  @ Lattice Size & Shape\n\n");
    62   StdI->
tau[0][0] = 0.0; StdI->
tau[0][1] = 0.0; StdI->
tau[0][2] = 0.0;
    63   StdI->
tau[1][0] = 1.0 / 3.0; StdI->
tau[1][1] = 1.0 / 3.0; StdI->
tau[1][2] = 0.0;
    67   fprintf(stdout, 
"\n  @ Hamiltonian \n\n");
    78   if (strcmp(StdI->
model, 
"spin") == 0 ) {
   118     if (strcmp(StdI->
model, 
"hubbard") == 0 ) {
   128   fprintf(stdout, 
"\n  @ Numerical conditions\n\n");
   134   if (strcmp(StdI->
model, 
"kondo") == 0 ) StdI->
nsite *= 2;
   137   if (strcmp(StdI->
model, 
"spin") == 0 )
   139   else if (strcmp(StdI->
model, 
"hubbard") == 0 )
   142     for (iL = 0; iL < StdI->
nsite / 2; iL++) {
   149   if (strcmp(StdI->
model, 
"spin") == 0 ) {
   150     ntransMax = StdI->
nsite * (StdI->
S2 + 1 + 2 * StdI->
S2);
   152       * (3 * StdI->
S2 + 1) * (3 * StdI->
S2 + 1);
   155     ntransMax = StdI->
NCell * 2 * (2 * StdI->
NsiteUC + 6 + 12);
   158     if (strcmp(StdI->
model, 
"kondo") == 0) {
   159       ntransMax += StdI->
nsite / 2 * (StdI->
S2 + 1 + 2 * StdI->
S2);
   160       nintrMax += StdI->
nsite / 2 * (3 * StdI->
S2 + 1) * (3 * StdI->
S2 + 1);
   168   for (kCell = 0; kCell < StdI->
NCell; kCell++) {
   170     iW = StdI->
Cell[kCell][0];
   171     iL = StdI->
Cell[kCell][1];
   176     if (strcmp(StdI->
model, 
"kondo") == 0 ) isite += 2 * StdI->
NCell;
   178     if (strcmp(StdI->
model, 
"spin") == 0 ) {
   188       if (strcmp(StdI->
model, 
"kondo") == 0 ) {
   199     StdFace_SetLabel(StdI, fp, iW, iL, 0, 0, 0, 1, &isite, &jsite, 1, &Cphase, dR);
   201     if (strcmp(StdI->
model, 
"spin") == 0 ) {
   211     StdFace_SetLabel(StdI, fp, iW, iL, 1, 0, 1, 0, &isite, &jsite, 1, &Cphase, dR);
   213     if (strcmp(StdI->
model, 
"spin") == 0 ) {
   223     StdFace_SetLabel(StdI, fp, iW, iL, 0, 1, 1, 0, &isite, &jsite, 1, &Cphase, dR);
   225     if (strcmp(StdI->
model, 
"spin") == 0 ) {
   235     StdFace_SetLabel(StdI, fp, iW, iL, 1, 0, 0, 0, &isite, &jsite, 2, &Cphase, dR);
   237     if (strcmp(StdI->
model, 
"spin") == 0 ) {
   247     StdFace_SetLabel(StdI, fp, iW, iL, 1, 0, 1, 1, &isite, &jsite, 2, &Cphase, dR);
   249     if (strcmp(StdI->
model, 
"spin") == 0 ) {
   259     StdFace_SetLabel(StdI, fp, iW, iL, 0, 1, 0, 0, &isite, &jsite, 2, &Cphase, dR);
   261     if (strcmp(StdI->
model, 
"spin") == 0 ) {
   271     StdFace_SetLabel(StdI, fp, iW, iL, 0, 1, 1, 1, &isite, &jsite, 2, &Cphase, dR);
   273     if (strcmp(StdI->
model, 
"spin") == 0 ) {
   283     StdFace_SetLabel(StdI, fp, iW, iL, 1, - 1, 0, 0, &isite, &jsite, 2, &Cphase, dR);
   285     if (strcmp(StdI->
model, 
"spin") == 0 ) {
   295     StdFace_SetLabel(StdI, fp, iW, iL, 1, -1, 1, 1, &isite, &jsite, 2, &Cphase, dR);
   297     if (strcmp(StdI->
model, 
"spin") == 0 ) {
   306   fprintf(fp, 
"plot \'-\' w d lc 7\n0.0 0.0\nend\npause -1\n");
   320   int isite, ipivot, i1, i2;
   324   if (StdI->
box[0][1] != 0 || StdI->
box[1][0] != 0) {
   325     fprintf(stdout, 
"\nERROR ! (a0W, a0L, a1W, a1L) can not be used with SpinGCBoost.\n\n");
   328   for (i1 = 0; i1 < 3; i1++) {
   329     for (i2 = 0; i2 < 3; i2++) {
   330       if (fabs(StdI->
Jp[i1][i2]) > 1.0e-8) {
   331         fprintf(stdout, 
"\nERROR ! J' can not be used with SpinGCBoost.\n\n");
   339   fp = fopen(
"boost.def", 
"w");
   340   fprintf(fp, 
"# Magnetic field\n"); 
   341   fprintf(fp, 
"%25.15e %25.15e %25.15e\n",
   342     -0.5 * StdI->
Gamma, 0.0, -0.5 *StdI->
h);
   346   fprintf(fp, 
"%d  # Number of type of J\n", 3);
   347   fprintf(fp, 
"# J 0\n"); 
   348   fprintf(fp, 
"%25.15e %25.15e %25.15e\n",
   349       0.25 * StdI->
J0[0][0], 0.25 * StdI->
J0[0][1], 0.25 * StdI->
J0[0][2]);
   350   fprintf(fp, 
"%25.15e %25.15e %25.15e\n",
   351     0.25 * StdI->
J0[0][1], 0.25 * StdI->
J0[1][1], 0.25 * StdI->
J0[1][2]);
   352   fprintf(fp, 
"%25.15e %25.15e %25.15e\n",
   353     0.25 * StdI->
J0[0][2], 0.25 * StdI->
J0[1][2], 0.25 * StdI->
J0[2][2]);
   354   fprintf(fp, 
"# J 1\n");
   355   fprintf(fp, 
"%25.15e %25.15e %25.15e\n",
   356     0.25 * StdI->
J1[0][0], 0.25 * StdI->
J1[0][1], 0.25 * StdI->
J1[0][2]);
   357   fprintf(fp, 
"%25.15e %25.15e %25.15e\n",
   358     0.25 * StdI->
J1[0][1], 0.25 * StdI->
J1[1][1], 0.25 * StdI->
J1[1][2]);
   359   fprintf(fp, 
"%25.15e %25.15e %25.15e\n",
   360     0.25 * StdI->
J1[0][2], 0.25 * StdI->
J1[1][2], 0.25 * StdI->
J1[2][2]);
   361   fprintf(fp, 
"# J 2\n");
   362   fprintf(fp, 
"%25.15e %25.15e %25.15e\n",
   363     0.25 * StdI->
J2[0][0], 0.25 * StdI->
J2[0][1], 0.25 * StdI->
J2[0][2]);
   364   fprintf(fp, 
"%25.15e %25.15e %25.15e\n",
   365     0.25 * StdI->
J2[0][1], 0.25 * StdI->
J2[1][1], 0.25 * StdI->
J2[1][2]);
   366   fprintf(fp, 
"%25.15e %25.15e %25.15e\n",
   367     0.25 * StdI->
J2[0][2], 0.25 * StdI->
J2[1][2], 0.25 * StdI->
J2[2][2]);
   372     fprintf(stdout, 
"\n ERROR! S2 must be 1 in Boost. \n\n");
   377     fprintf(stdout, 
"\n ERROR! L < 2 \n\n");
   381     fprintf(stdout, 
"\n ERROR! W %% %d != 0 \n\n", StdI->
ishift_nspin);
   386     fprintf(stdout, 
"DEBUG: W != 3\n");
   390   fprintf(fp, 
"# W0  R0  StdI->num_pivot  StdI->ishift_nspin\n");
   394   for (ipivot = 0; ipivot < StdI->
num_pivot; ipivot++) {
   414   fprintf(fp, 
"# StdI->list_6spin_star\n");
   415   for (ipivot = 0; ipivot < StdI->
num_pivot; ipivot++) {
   416     fprintf(fp, 
"# pivot %d\n", ipivot);
   417     for (isite = 0; isite < 7; isite++) {
   424   for (ipivot = 0; ipivot < StdI->
num_pivot; ipivot++) {
   426     for (isite = 0; isite < 7; isite++) {
   496   fprintf(fp, 
"# StdI->list_6spin_pair\n");
   497   for (ipivot = 0; ipivot < StdI->
num_pivot; ipivot++) {
   498     fprintf(fp, 
"# pivot %d\n", ipivot);
   500       for (isite = 0; isite < 7; isite++) {
   508   for (ipivot = 0; ipivot < StdI->
num_pivot; ipivot++) {
   513   for (ipivot = 0; ipivot < StdI->
num_pivot; ipivot++) {
   514     for (isite = 0; isite < 7; isite++) {
 void StdFace_PrintVal_i(char *valname, int *val, int val0)
Print a valiable (integer) read from the input file if it is not specified in the input file (=214748...
double V2
Anisotropic Coulomb potential (1st), input parameter. 
double Jp[3][3]
Isotropic, diagonal/off-diagonal spin coupling (2nd Near.), input parameter J'x, J'y, J'z, J'xy, etc. 
int box[3][3]
The shape of the super-cell. Input parameter a0W, a0L, a0H, etc. or defined from StdIntList::W, etc. in StdFace_InitSite(). 
double complex t2p
Anisotropic hopping (2nd), input parameter. 
double J[3][3]
Isotropic, diagonal/off-diagonal spin coupling (1st Near.), input parameter Jx, Jy, Jz, Jxy, etc. 
void StdFace_GeneralJ(struct StdIntList *StdI, double J[3][3], int Si2, int Sj2, int isite, int jsite)
Treat J as a 3*3 matrix [(6S + 1)*(6S' + 1) interactions]. 
int L
Number of sites along the 2nd axis, input parameter. 
void StdFace_HubbardLocal(struct StdIntList *StdI, double mu0, double h0, double Gamma0, double U0, int isite)
Add intra-Coulomb, magnetic field, chemical potential for the itenerant electron. ...
double D[3][3]
Coefficient for  input parameter D. Only D[2][2] is used. 
double J1p[3][3]
Isotropic, diagonal/off-diagonal spin coupling (2nd Near.), input parameter J1'x, J1'y...
void StdFace_PrintGeometry(struct StdIntList *StdI)
Print geometry of sites for the pos-process of correlation function. 
double JpAll
Isotropic, diagonal spin coupling (2nd Near), input parameter Jp. 
double J1[3][3]
Isotropic, diagonal/off-diagonal spin coupling (1st Near.), input parameter J1x, J1y, J1z, J1xy, etc. or set in StdFace_InputSpinNN(). 
double J2p[3][3]
Isotropic, diagonal/off-diagonal spin coupling (2nd Near.), input parameter J2'x, J2'y...
void StdFace_Hopping(struct StdIntList *StdI, double complex trans0, int isite, int jsite, double *dR)
Add Hopping for the both spin. 
double complex t
Nearest-neighbor hopping, input parameter. 
void StdFace_MallocInteractions(struct StdIntList *StdI, int ntransMax, int nintrMax)
Malloc Arrays for interactions. 
double JAll
Isotropic, diagonal spin coupling (1st Near.), input parameter J. 
int S2
Total spin |S| of a local spin, input from file. 
int NsiteUC
Number of sites in the unit cell. Defined in the beginning of each lattice function. 
double J1All
Anisotropic, diagonal spin coupling (1nd Near), input parameter J1. 
void StdFace_InputCoulombV(struct StdIntList *StdI, double *V0, char *V0name)
Input off-site Coulomb interaction from the input file, if it is not specified, use the default value...
void StdFace_InputHopp(struct StdIntList *StdI, double complex *t0, char *t0name)
Input hopping integral from the input file, if it is not specified, use the default value(0 or the is...
void StdFace_InitSite(struct StdIntList *StdI, FILE *fp, int dim)
Initialize the super-cell where simulation is performed. 
int W
Number of sites along the 1st axis, input parameter. 
double V2p
Anisotropic Coulomb potential (2nd), input parameter. 
char model[256]
Name of model, input parameter. 
void StdFace_NotUsed_J(char *valname, double JAll, double J[3][3])
Stop HPhi if variables (real) not used is specified in the input file (!=NaN). 
double Gamma
Transvars magnetic field, input parameter. 
double V1
Anisotropic Coulomb potential (1st), input parameter. 
double J0All
Anisotropic, diagonal spin coupling (1nd Near), input parameter J0. 
double J0[3][3]
Isotropic, diagonal/off-diagonal spin coupling (1st Near.), input parameter J0x, J0y, J0z, J0xy, etc. or set in StdFace_InputSpinNN(). 
double U
On-site Coulomb potential, input parameter. 
int ** Cell
[StdIntList][3] The cell position in the fractional coordinate. Malloc and Set in StdFace_InitSite()...
double phase[3]
Boundary phase, input parameter phase0, etc. 
double length[3]
Anisotropic lattice constant, input parameter wlength, llength, hlength. 
int * locspinflag
[StdIntList::nsite] LocSpin in Expert mode, malloc and set in each lattice file. 
double complex tp
2nd-nearest hopping, input parameter 
void StdFace_Honeycomb(struct StdIntList *StdI)
Setup a Hamiltonian for the Hubbard model on a Honeycomb lattice. 
double complex t1
Anisotropic hopping (1st), input parameter. 
double V
Off-site Coulomb potential (1st), input parameter. 
double complex t0
Anisotropic hopping (1st), input parameter. 
double direct[3][3]
The unit direct lattice vector. Set in StdFace_InitSite(). 
void StdFace_MagField(struct StdIntList *StdI, int S2, double h, double Gamma, int isite)
Add longitudinal and transvars magnetic field to the list. 
void StdFace_NotUsed_d(char *valname, double val)
Stop HPhi if a variable (real) not used is specified in the input file (!=NaN). 
double V0
Anisotropic Coulomb potential (1st), input parameter. 
void StdFace_Coulomb(struct StdIntList *StdI, double V, int isite, int jsite)
Add onsite/offsite Coulomb term to the list StdIntList::Cinter and StdIntList::CinterIndx, and increase the number of them (StdIntList::NCinter). 
void StdFace_InputSpin(struct StdIntList *StdI, double Jp[3][3], double JpAll, char *Jpname)
Input spin-spin interaction other than nearest-neighbor. 
void StdFace_SetLabel(struct StdIntList *StdI, FILE *fp, int iW, int iL, int diW, int diL, int isiteUC, int jsiteUC, int *isite, int *jsite, int connect, double complex *Cphase, double *dR)
Set Label in the gnuplot display (Only used in 2D system) 
double complex t1p
Anisotropic hopping (2nd), input parameter. 
double complex t2
Anisotropic hopping (1st), input parameter. 
void StdFace_Honeycomb_Boost(struct StdIntList *StdI)
double mu
Chemical potential, input parameter. 
void StdFace_PrintVal_d(char *valname, double *val, double val0)
Print a valiable (real) read from the input file if it is not specified in the input file (=NaN)...
void StdFace_InputSpinNN(struct StdIntList *StdI, double J0[3][3], double J0All, char *J0name)
Input nearest-neighbor spin-spin interaction. 
int NCell
The number of the unit cell in the super-cell (determinant of StdIntList::box). Set in StdFace_InitSi...
double Vp
Off-site Coulomb potential (2nd), input parameter. 
double J1pAll
Anisotropic, diagonal spin coupling (2nd Near), input parameter J1'. 
void StdFace_NotUsed_c(char *valname, double complex val)
Stop HPhi if a variable (complex) not used is specified in the input file (!=NaN). 
void StdFace_PrintVal_c(char *valname, double complex *val, double complex val0)
Print a valiable (complex) read from the input file if it is not specified in the input file (=NaN)...
int nsite
Number of sites, set in the each lattice file. 
double J2All
Anisotropic, diagonal spin coupling (1nd Near), input parameter J2. 
Variables used in the Standard mode. These variables are passed as a pointer of the structure(StdIntL...
void StdFace_NotUsed_i(char *valname, int val)
Stop HPhi if a variable (integer) not used is specified in the input file (!=2147483647, the upper limt of Int). 
double h
Longitudinal magnetic field, input parameter. 
double a
The lattice constant. Input parameter. 
double J2[3][3]
Isotropic, diagonal/off-diagonal spin coupling (1st Near.), input parameter J2x, J2y, J2z, J2xy, etc. or set in StdFace_InputSpinNN(). 
double J2pAll
Anisotropic, diagonal spin coupling (2nd Near), input parameter J2'. 
double ** tau
Cell-internal site position in the fractional coordinate. Defined in the beginning of each lattice fu...
void StdFace_exit(int errorcode)
MPI Abortation wrapper. 
double V1p
Anisotropic Coulomb potential (2nd), input parameter. 
double K
4-spin term. Not used.