PeierlsHubbardSU2xU1xZN.h

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#ifndef HUBBARDMODELSU2XU1XZN_H_COMPLEX
#define HUBBARDMODELSU2XU1XZN_H_COMPLEX
 
#include "symmetry/S1xS2.h"
#include "symmetry/U1.h"
#include "symmetry/SU2.h"
#include "symmetry/ZN.h"
#include "bases/FermionBase.h"
#include "models/HubbardObservables.h"
#include "Mpo.h"
#include "ParamReturner.h"
#include "Geometry2D.h" // from TOOLS
#include "PeierlsHubbardSU2xU1.h"
 
#ifndef YMOMENTUM
#define YMOMENTUM 6
#endif
 
namespace VMPS
{
 
class PeierlsHubbardSU2xU1xZN : public Mpo<Sym::S1xS2<Sym::S1xS2<Sym::SU2<Sym::SpinSU2>,Sym::U1<Sym::ChargeU1> >,Sym::ZN<Sym::Momentum,YMOMENTUM>>,complex<double>>,
                             public HubbardObservables<Sym::S1xS2<Sym::S1xS2<Sym::SU2<Sym::SpinSU2>,Sym::U1<Sym::ChargeU1> >,Sym::ZN<Sym::Momentum,YMOMENTUM>>,complex<double>>,
                             public ParamReturner
{
public:
    
    typedef Sym::S1xS2<Sym::S1xS2<Sym::SU2<Sym::SpinSU2>,Sym::U1<Sym::ChargeU1> >,Sym::ZN<Sym::Momentum,YMOMENTUM>> Symmetry;
    MAKE_TYPEDEFS(PeierlsHubbardSU2xU1xZN)
    typedef Eigen::Matrix<complex<double>,Eigen::Dynamic,Eigen::Dynamic> MatrixType;
    typedef SiteOperatorQ<Symmetry,MatrixType> OperatorType;
    
//private:
    
    typedef Eigen::Index Index;
    typedef Symmetry::qType qType;
    
public:
    
    PeierlsHubbardSU2xU1xZN() : Mpo(){};
    
    PeierlsHubbardSU2xU1xZN(Mpo<Symmetry,complex<double>> &Mpo_input, const vector<Param> &params, const BC &BC_input=BC::OPEN)
    :Mpo<Symmetry,complex<double>>(Mpo_input),
     HubbardObservables(this->N_sites,params,PeierlsHubbardSU2xU1xZN::defaults),
     ParamReturner(PeierlsHubbardSU2xU1xZN::sweep_defaults)
    {
        this->boundary_condition = BC_input;
        ParamHandler P(params,PeierlsHubbardSU2xU1xZN::defaults);
        size_t Lcell = P.size();
        N_phys = 0;
        for (size_t l=0; l<N_sites; ++l) N_phys += P.get<size_t>("Ly",l%Lcell);
        this->precalc_TwoSiteData();
        this->HERMITIAN = true;
        this->HAMILTONIAN = true;
    };
    
    PeierlsHubbardSU2xU1xZN (const size_t &L, const vector<Param> &params, const BC &boundary=BC::OPEN, const DMRG::VERBOSITY::OPTION &VERB=DMRG::VERBOSITY::OPTION::ON_EXIT);
    
    static qarray<3> singlet (int N=0) {return qarray<3>{1,N,0};};
    static constexpr MODEL_FAMILY FAMILY = HUBBARD;
    static constexpr int spinfac = 1;
    
    static const map<string,any> defaults;
    static const map<string,any> sweep_defaults;
};
 
// V is standard next-nearest neighbour density interaction
// Vz and Vxy are anisotropic isospin-isospin next-nearest neighbour interaction
const map<string,any> PeierlsHubbardSU2xU1xZN::defaults = 
{
    {"t",1.+0.i}, {"tPrime",0.i}, {"tRung",1.+0.i}, {"tPrimePrime",0.i},
    {"mu",0.}, {"t0",0.}, 
    {"U",0.}, {"Uph",0.},
    {"V",0.}, {"Vext",0.}, {"Vrung",0.},
    {"Vz",0.}, {"Vzrung",0.}, {"Vxy",0.}, {"Vxyrung",0.}, 
    {"J",0.}, {"Jperp",0.},
    {"X",0.}, {"Xrung",0.},
    {"REMOVE_DOUBLE",false} ,{"REMOVE_EMPTY",false}, {"REMOVE_UP",false}, {"REMOVE_DN",false}, {"mfactor",1}, {"k",0},
    {"maxPower",1ul}, {"CYLINDER",false}, {"Ly",1ul}
};
 
const map<string,any> PeierlsHubbardSU2xU1xZN::sweep_defaults = 
{
    {"max_alpha",100.}, {"min_alpha",1.}, {"lim_alpha",11ul}, {"eps_svd",1e-7},
    {"Mincr_abs", 50ul}, {"Mincr_per", 2ul}, {"Mincr_rel", 1.1},
    {"min_Nsv",0ul}, {"max_Nrich",-1},
    {"max_halfsweeps",24ul}, {"min_halfsweeps",1ul},
    {"Minit",2ul}, {"Qinit",2ul}, {"Mlimit",1000ul},
    {"tol_eigval",1e-7}, {"tol_state",1e-6},
    {"savePeriod",0ul}, {"CALC_S_ON_EXIT", true}, {"CONVTEST",DMRG::CONVTEST::VAR_2SITE}
};
 
PeierlsHubbardSU2xU1xZN::
PeierlsHubbardSU2xU1xZN (const size_t &L, const vector<Param> &params, const BC &boundary, const DMRG::VERBOSITY::OPTION &VERB)
:Mpo<Symmetry,complex<double>> (L, qarray<Symmetry::Nq>({1,0,0}), "", PROP::HERMITIAN, PROP::NON_UNITARY, boundary, VERB),
 HubbardObservables(L,params,PeierlsHubbardSU2xU1xZN::defaults),
 ParamReturner(PeierlsHubbardSU2xU1xZN::sweep_defaults)
{
    ParamHandler P(params,defaults);
    size_t Lcell = P.size();
    
    for (size_t l=0; l<N_sites; ++l)
    {
        N_phys += P.get<size_t>("Ly",l%Lcell);
        setLocBasis(F[l].get_basis().qloc(),l);
    }
    
    this->set_name("Complex Hubbard");
    
    PushType<SiteOperator<Symmetry,complex<double>>,complex<double>> pushlist;
    std::vector<std::vector<std::string>> labellist;
    PeierlsHubbardSU2xU1::set_operators(F, P, pushlist, labellist, boundary);
    
    this->construct_from_pushlist(pushlist, labellist, Lcell);
    this->finalize(PROP::COMPRESS, P.get<size_t>("maxPower"));
    
    this->precalc_TwoSiteData();
}
 
} // end namespace VMPS::models
 
#endif