TriangularLattice.c

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/*
HPhi-mVMC-StdFace - Common input generator
Copyright (C) 2015 The University of Tokyo

This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.

This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
GNU General Public License for more details.

You should have received a copy of the GNU General Public License
along with this program.  If not, see <http://www.gnu.org/licenses/>.
*/
#include "StdFace_vals.h"
#include "StdFace_ModelUtil.h"
#include <stdlib.h>
#include <stdio.h>
#include <math.h>
#include <complex.h>
#include <string.h>

void StdFace_Triangular(struct StdIntList *StdI)
{
  int isite, jsite, kCell, ntransMax, nintrMax;
  int iL, iW;
  FILE *fp;
  double complex Cphase;
  double dR[3];

  fp = fopen("lattice.gp", "w");
  
  StdI->NsiteUC = 1;
  fprintf(stdout, "  @ Lattice Size & Shape\n\n");
  
  StdFace_PrintVal_d("a", &StdI->a, 1.0);
  StdFace_PrintVal_d("Wlength", &StdI->length[0], StdI->a);
  StdFace_PrintVal_d("Llength", &StdI->length[1], StdI->a);
  StdFace_PrintVal_d("Wx", &StdI->direct[0][0], StdI->length[0]);
  StdFace_PrintVal_d("Wy", &StdI->direct[0][1], 0.0);
  StdFace_PrintVal_d("Lx", &StdI->direct[1][0], StdI->length[1] * 0.5);
  StdFace_PrintVal_d("Ly", &StdI->direct[1][1], StdI->length[1] * 0.5 * sqrt(3.0));
  
  StdFace_PrintVal_d("phase0", &StdI->phase[0], 0.0);
  StdFace_PrintVal_d("phase1", &StdI->phase[1], 0.0);
  
  StdFace_InitSite(StdI, fp, 2);
  StdI->tau[0][0] = 0.0; StdI->tau[0][1] = 0.0; StdI->tau[0][2] = 0.0;
  fprintf(stdout, "\n  @ Hamiltonian \n\n");
  StdFace_NotUsed_d("K", StdI->K);
  StdFace_PrintVal_d("h", &StdI->h, 0.0);
  StdFace_PrintVal_d("Gamma", &StdI->Gamma, 0.0);
  
  if (strcmp(StdI->model, "spin") == 0 ) {
    StdFace_PrintVal_i("2S", &StdI->S2, 1);
    StdFace_PrintVal_d("D", &StdI->D[2][2], 0.0);
    StdFace_InputSpinNN(StdI->J, StdI->JAll, StdI->J0, StdI->J0All, "J0");
    StdFace_InputSpinNN(StdI->J, StdI->JAll, StdI->J1, StdI->J1All, "J1");
    StdFace_InputSpinNN(StdI->J, StdI->JAll, StdI->J2, StdI->J2All, "J2");
    StdFace_InputSpinNN(StdI->Jp, StdI->JpAll, StdI->J0p, StdI->J0pAll, "J0'");
    StdFace_InputSpinNN(StdI->Jp, StdI->JpAll, StdI->J1p, StdI->J1pAll, "J1'");
    StdFace_InputSpinNN(StdI->Jp, StdI->JpAll, StdI->J2p, StdI->J2pAll, "J2'");
    StdFace_InputSpinNN(StdI->Jpp, StdI->JppAll, StdI->J0pp, StdI->J0ppAll, "J0'");
    StdFace_InputSpinNN(StdI->Jpp, StdI->JppAll, StdI->J1pp, StdI->J1ppAll, "J1'");
    StdFace_InputSpinNN(StdI->Jpp, StdI->JppAll, StdI->J2pp, StdI->J2ppAll, "J2'");
    
    StdFace_NotUsed_d("mu", StdI->mu);
    StdFace_NotUsed_d("U", StdI->U);
    StdFace_NotUsed_c("t", StdI->t);
    StdFace_NotUsed_c("t0", StdI->t0);
    StdFace_NotUsed_c("t1", StdI->t1);
    StdFace_NotUsed_c("t2", StdI->t2);
    StdFace_NotUsed_c("t'", StdI->tp);
    StdFace_NotUsed_c("t0'", StdI->t0p);
    StdFace_NotUsed_c("t1'", StdI->t1p);
    StdFace_NotUsed_c("t2'", StdI->t2p);
    StdFace_NotUsed_c("t''", StdI->tp);
    StdFace_NotUsed_c("t0''", StdI->t0pp);
    StdFace_NotUsed_c("t1''", StdI->t1pp);
    StdFace_NotUsed_c("t2''", StdI->t2pp);
    StdFace_NotUsed_d("V", StdI->V);
    StdFace_NotUsed_d("V0", StdI->V0);
    StdFace_NotUsed_d("V1", StdI->V1);
    StdFace_NotUsed_d("V2", StdI->V2);
    StdFace_NotUsed_d("V'", StdI->Vp);
    StdFace_NotUsed_d("V0'", StdI->V0p);
    StdFace_NotUsed_d("V1'", StdI->V1p);
    StdFace_NotUsed_d("V2'", StdI->V2p);
    StdFace_NotUsed_d("V''", StdI->Vpp);
    StdFace_NotUsed_d("V0''", StdI->V0pp);
    StdFace_NotUsed_d("V1''", StdI->V1pp);
    StdFace_NotUsed_d("V2''", StdI->V2pp);
  }/*if (strcmp(StdI->model, "spin") == 0 )*/
  else {
    StdFace_PrintVal_d("mu", &StdI->mu, 0.0);
    StdFace_PrintVal_d("U", &StdI->U, 0.0);
    StdFace_InputHopp(StdI->t, &StdI->t0, "t0");
    StdFace_InputHopp(StdI->t, &StdI->t1, "t1");
    StdFace_InputHopp(StdI->t, &StdI->t2, "t2");
    StdFace_InputHopp(StdI->tp, &StdI->t0p, "t0'");
    StdFace_InputHopp(StdI->tp, &StdI->t1p, "t1'");
    StdFace_InputHopp(StdI->tp, &StdI->t2p, "t2'");
    StdFace_InputHopp(StdI->tpp, &StdI->t0pp, "t0''");
    StdFace_InputHopp(StdI->tpp, &StdI->t1pp, "t1''");
    StdFace_InputHopp(StdI->tpp, &StdI->t2pp, "t2''");
    StdFace_InputCoulombV(StdI->V, &StdI->V0, "V0");
    StdFace_InputCoulombV(StdI->V, &StdI->V1, "V1");
    StdFace_InputCoulombV(StdI->V, &StdI->V2, "V2");
    StdFace_InputCoulombV(StdI->Vp, &StdI->V0p, "V0'");
    StdFace_InputCoulombV(StdI->Vp, &StdI->V1p, "V1'");
    StdFace_InputCoulombV(StdI->Vp, &StdI->V2p, "V2'");
    StdFace_InputCoulombV(StdI->Vpp, &StdI->V0pp, "V0''");
    StdFace_InputCoulombV(StdI->Vpp, &StdI->V1pp, "V1''");
    StdFace_InputCoulombV(StdI->Vpp, &StdI->V2pp, "V2''");
    
    StdFace_NotUsed_J("J0", StdI->J0All, StdI->J0);
    StdFace_NotUsed_J("J1", StdI->J1All, StdI->J1);
    StdFace_NotUsed_J("J2", StdI->J2All, StdI->J2);
    StdFace_NotUsed_J("J0'", StdI->J0pAll, StdI->J0p);
    StdFace_NotUsed_J("J1'", StdI->J1pAll, StdI->J1p);
    StdFace_NotUsed_J("J2'", StdI->J2pAll, StdI->J2p);
    StdFace_NotUsed_J("J0''", StdI->J0ppAll, StdI->J0pp);
    StdFace_NotUsed_J("J1''", StdI->J1ppAll, StdI->J1pp);
    StdFace_NotUsed_J("J2''", StdI->J2ppAll, StdI->J2pp);
    StdFace_NotUsed_d("D", StdI->D[2][2]);

    if (strcmp(StdI->model, "hubbard") == 0 ) {
      StdFace_NotUsed_i("2S", StdI->S2);
      StdFace_NotUsed_J("J", StdI->JAll, StdI->J);
    }/*if (strcmp(StdI->model, "hubbard") == 0 )*/
    else {
      StdFace_PrintVal_i("2S", &StdI->S2, 1);
      StdFace_InputSpin(StdI->J, StdI->JAll, "J");
    }/*if (model != "hubbard")*/

  }/*if (model != "spin")*/
  fprintf(stdout, "\n  @ Numerical conditions\n\n");
  StdI->nsite = StdI->NsiteUC * StdI->NCell;
  if (strcmp(StdI->model, "kondo") == 0 ) StdI->nsite *= 2;
  StdI->locspinflag = (int *)malloc(sizeof(int) * StdI->nsite);
  
  if (strcmp(StdI->model, "spin") == 0 )
    for (isite = 0; isite < StdI->nsite; isite++) StdI->locspinflag[isite] = StdI->S2;
  else if (strcmp(StdI->model, "hubbard") == 0 )
    for (isite = 0; isite < StdI->nsite; isite++) StdI->locspinflag[isite] = 0;
  else
    for (iL = 0; iL < StdI->nsite / 2; iL++) {
      StdI->locspinflag[iL] = StdI->S2;
      StdI->locspinflag[iL + StdI->nsite / 2] = 0;
    }
  if (strcmp(StdI->model, "spin") == 0 ) {
    ntransMax = StdI->nsite * (StdI->S2 + 1/*h*/ + 2 * StdI->S2/*Gamma*/);
    nintrMax = StdI->NCell * (StdI->NsiteUC/*D*/ + 3/*J*/ + 3/*J'*/ + 3/*J''*/)
      * (3 * StdI->S2 + 1) * (3 * StdI->S2 + 1);
  }
  else {
    ntransMax = StdI->NCell * 2/*spin*/ * (2 * StdI->NsiteUC/*mu+h+Gamma*/ + 6/*t*/ + 6/*t'*/ + 6/*t''*/);
    nintrMax = StdI->NCell * (StdI->NsiteUC/*U*/ + 4 * (3/*V*/ + 3/*V'*/ + 3/*V''*/));

    if (strcmp(StdI->model, "kondo") == 0) {
      ntransMax += StdI->nsite / 2 * (StdI->S2 + 1/*h*/ + 2 * StdI->S2/*Gamma*/);
      nintrMax += StdI->nsite / 2 * (3 * StdI->S2 + 1) * (3 * StdI->S2 + 1);
    }/*if (strcmp(StdI->model, "kondo") == 0)*/
  }
  
  StdFace_MallocInteractions(StdI, ntransMax, nintrMax);
  for (kCell = 0; kCell < StdI->NCell; kCell++) {
    
    iW = StdI->Cell[kCell][0];
    iL = StdI->Cell[kCell][1];
    /*
    Local term
    */
    isite = kCell;
    if (strcmp(StdI->model, "kondo") == 0 ) isite += StdI->NCell;
    
    if (strcmp(StdI->model, "spin") == 0 ) {
      StdFace_MagField(StdI, StdI->S2, -StdI->h, -StdI->Gamma, isite);
      StdFace_GeneralJ(StdI, StdI->D, StdI->S2, StdI->S2, isite, isite);
    }/*if (strcmp(StdI->model, "spin") == 0 )*/
    else {
      StdFace_HubbardLocal(StdI, StdI->mu, -StdI->h, -StdI->Gamma, StdI->U, isite);
      if (strcmp(StdI->model, "kondo") == 0 ) {
        jsite = kCell;
        StdFace_GeneralJ(StdI, StdI->J, 1, StdI->S2, isite, jsite);
        StdFace_MagField(StdI, StdI->S2, -StdI->h, -StdI->Gamma, jsite);
      }/*if (strcmp(StdI->model, "kondo") == 0 )*/
    }
    /*
    Nearest neighbor along W
    */
    StdFace_SetLabel(StdI, fp, iW, iL, 1, 0, 0, 0, &isite, &jsite, 1, &Cphase, dR);
    
    if (strcmp(StdI->model, "spin") == 0 ) {
      StdFace_GeneralJ(StdI, StdI->J0, StdI->S2, StdI->S2, isite, jsite);
    }/*if (strcmp(StdI->model, "spin") == 0 )*/
    else {
      StdFace_Hopping(StdI, Cphase * StdI->t0, isite, jsite, dR);
      StdFace_Coulomb(StdI, StdI->V0, isite, jsite);
    }
    /*
    Nearest neighbor along L
    */
    StdFace_SetLabel(StdI, fp, iW, iL, 0, 1, 0, 0, &isite, &jsite, 1, &Cphase, dR);
    
    if (strcmp(StdI->model, "spin") == 0 ) {
      StdFace_GeneralJ(StdI, StdI->J1, StdI->S2, StdI->S2, isite, jsite);
    }
    else {
      StdFace_Hopping(StdI, Cphase * StdI->t1, isite, jsite, dR);
      StdFace_Coulomb(StdI, StdI->V1, isite, jsite);
    }
    /*
    Nearest neighbor along W - L
    */
    StdFace_SetLabel(StdI, fp, iW, iL, 1, - 1, 0, 0, &isite, &jsite, 1, &Cphase, dR);
    
    if (strcmp(StdI->model, "spin") == 0 ) {
      StdFace_GeneralJ(StdI, StdI->J2, StdI->S2, StdI->S2, isite, jsite);
    }
    else {
      StdFace_Hopping(StdI, Cphase * StdI->t2, isite, jsite, dR);
      StdFace_Coulomb(StdI, StdI->V2, isite, jsite);
    }
    /*
    Second nearest neighbor 2W - L
    */
    StdFace_SetLabel(StdI, fp, iW, iL, 2, - 1, 0, 0, &isite, &jsite, 2, &Cphase, dR);
    
    if (strcmp(StdI->model, "spin") == 0 ) {
      StdFace_GeneralJ(StdI, StdI->J1p, StdI->S2, StdI->S2, isite, jsite);
    }/*if (strcmp(StdI->model, "spin") == 0 )*/
    else {
      StdFace_Hopping(StdI, Cphase * StdI->t1p, isite, jsite, dR);
      StdFace_Coulomb(StdI, StdI->V1p, isite, jsite);
    }
    /*
    Second nearest neighbor W+L
    */
    StdFace_SetLabel(StdI, fp, iW, iL, 1, 1, 0, 0, &isite, &jsite, 2, &Cphase, dR);
    
    if (strcmp(StdI->model, "spin") == 0 ) {
      StdFace_GeneralJ(StdI, StdI->J2p, StdI->S2, StdI->S2, isite, jsite);
    }/*if (strcmp(StdI->model, "spin") == 0 )*/
    else {
      StdFace_Hopping(StdI, Cphase * StdI->t2p, isite, jsite, dR);
      StdFace_Coulomb(StdI, StdI->V2p, isite, jsite);
    }/*if (model != "spin")*/
     /*
     Second nearest neighbor -W+2L
     */
    StdFace_SetLabel(StdI, fp, iW, iL, - 1, 2, 0, 0, &isite, &jsite, 2, &Cphase, dR);
    
    if (strcmp(StdI->model, "spin") == 0 ) {
      StdFace_GeneralJ(StdI, StdI->J0p, StdI->S2, StdI->S2, isite, jsite);
    }/*if (strcmp(StdI->model, "spin") == 0 )*/
    else {
      StdFace_Hopping(StdI, Cphase * StdI->t0p, isite, jsite, dR);
      StdFace_Coulomb(StdI, StdI->V0p, isite, jsite);
    }/*if (model != "spin")*/
    /*
    Third neighbor along 2W
    */
    StdFace_SetLabel(StdI, fp, iW, iL, 2, 0, 0, 0, &isite, &jsite, 3, &Cphase, dR);
    
    if (strcmp(StdI->model, "spin") == 0) {
      StdFace_GeneralJ(StdI, StdI->J0pp, StdI->S2, StdI->S2, isite, jsite);
    }/*if (strcmp(StdI->model, "spin") == 0 )*/
    else {
      StdFace_Hopping(StdI, Cphase * StdI->t0pp, isite, jsite, dR);
      StdFace_Coulomb(StdI, StdI->V0pp, isite, jsite);
    }
    /*
    Third neighbor along 2L
    */
    StdFace_SetLabel(StdI, fp, iW, iL, 0, 2, 0, 0, &isite, &jsite, 3, &Cphase, dR);
    
    if (strcmp(StdI->model, "spin") == 0) {
      StdFace_GeneralJ(StdI, StdI->J1pp, StdI->S2, StdI->S2, isite, jsite);
    }
    else {
      StdFace_Hopping(StdI, Cphase * StdI->t1pp, isite, jsite, dR);
      StdFace_Coulomb(StdI, StdI->V1pp, isite, jsite);
    }
    /*
    Nearest neighbor along 2W - 2L
    */
    StdFace_SetLabel(StdI, fp, iW, iL, 2, -2, 0, 0, &isite, &jsite, 3, &Cphase, dR);
    
    if (strcmp(StdI->model, "spin") == 0) {
      StdFace_GeneralJ(StdI, StdI->J2pp, StdI->S2, StdI->S2, isite, jsite);
    }
    else {
      StdFace_Hopping(StdI, Cphase * StdI->t2pp, isite, jsite, dR);
      StdFace_Coulomb(StdI, StdI->V2pp, isite, jsite);
    }
  }/*for (kCell = 0; kCell < StdI->NCell; kCell++)*/

  fprintf(fp, "plot \'-\' w d lc 7\n0.0 0.0\nend\npause -1\n");
  fclose(fp);
  StdFace_PrintGeometry(StdI);
}