dft_tools/doc/tutorials/images_scripts/Ce-gamma.py

from triqs_dft_tools.sumk_dft import *
from triqs_dft_tools.converters.wien2k_converter import *
from triqs.applications.impurity_solvers.hubbard_I.hubbard_solver import Solver

import os
dft_filename = os.getcwd().rpartition('/')[2]

beta = 40
U_int = 6.00
J_hund = 0.70
Loops =  5                       # Number of DMFT sc-loops
mixing = 0.7                     # Mixing factor
DC_type = 0                      # 0...FLL, 1...Held, 2... AMF, 3...Lichtenstein
chemical_potential_init=0.0      # initial chemical potential

# Convert DMFT input:
Converter = Wien2kConverter(filename=dft_filename)
Converter.convert_dft_input()
mpi.barrier()

#check if there are previous runs:
previous_runs = 0
previous_present = False
if mpi.is_master_node():
    with HDFArchive(dft_filename+'.h5','a') as f:
        if 'dmft_output' in f:
            ar = f['dmft_output']
            if 'iterations' in ar:
                previous_present = True
                previous_runs = ar['iterations']
        else:
            f.create_group('dmft_output')
previous_runs    = mpi.bcast(previous_runs)
previous_present = mpi.bcast(previous_present)

# Init the SumK class
SK=SumkDFT(hdf_file=dft_filename+'.h5',use_dft_blocks=False)

Norb = SK.corr_shells[0]['dim']
l    = SK.corr_shells[0]['l']

# Init the Hubbard-I solver:
S = Solver(beta = beta, l = l)

chemical_potential=chemical_potential_init
# load previous data: old self-energy, chemical potential, DC correction
if previous_present:
    if mpi.is_master_node():
        with HDFArchive(dft_filename+'.h5','r') as ar:
            S.Sigma << ar['dmft_output']['Sigma']
        SK.chemical_potential,SK.dc_imp,SK.dc_energ = SK.load(['chemical_potential','dc_imp','dc_energ'])
    S.Sigma << mpi.bcast(S.Sigma)
    SK.chemical_potential = mpi.bcast(SK.chemical_potential)
    SK.dc_imp = mpi.bcast(SK.dc_imp)
    SK.dc_energ = mpi.bcast(SK.dc_energ)

# DMFT loop:
for iteration_number in range(1,Loops+1):
    
        itn = iteration_number + previous_runs
       
        # put Sigma into the SumK class:
        SK.set_Sigma([ S.Sigma ])

        # Compute the SumK, possibly fixing mu by dichotomy
        chemical_potential = SK.calc_mu( precision = 0.000001 )
                  
        # Density:
        S.G <<= SK.extract_G_loc()[0]
        mpi.report("Total charge of Gloc : %.6f"%S.G.total_density())

        # calculated DC at the first run to have reasonable initial non-interacting atomic level positions
        if ((iteration_number==1)and(previous_present==False)):
            dc_value_init=U_int/2.0
            dm=S.G.density()
	    SK.calc_dc( dm, U_interact = U_int, J_hund = J_hund, orb = 0, use_dc_formula = DC_type, use_dc_value=dc_value_init)

        # calculate non-interacting atomic level positions:
        eal = SK.eff_atomic_levels()[0]
        S.set_atomic_levels( eal = eal )

        # solve it:
        S.solve(U_int = U_int, J_hund = J_hund, verbosity = 1)

        # Now mix Sigma and G with factor Mix, if wanted:
        if (iteration_number>1 or previous_present):
            if (mpi.is_master_node() and (mixing<1.0)):
                with HDFArchive(dft_filename+'.h5','r') as ar:
                    mpi.report("Mixing Sigma and G with factor %s"%mixing)
                    S.Sigma << mixing * S.Sigma + (1.0-mixing) * ar['dmft_output']['Sigma']
                    S.G << mixing * S.G + (1.0-mixing) * ar['dmft_output']['G']
            S.G << mpi.bcast(S.G)
            S.Sigma << mpi.bcast(S.Sigma)
     
        
        # after the Solver has finished, set new double counting: 
        dm = S.G.density()
        SK.calc_dc( dm, U_interact = U_int, J_hund = J_hund, orb = 0, use_dc_formula = DC_type )

        # correlation energy calculations:
        SK.correnerg = 0.5 * (S.G * S.Sigma).total_density()
        mpi.report("Corr. energy = %s"%SK.correnerg)

        # store the impurity self-energy, GF as well as correlation energy in h5
        if mpi.is_master_node():
            with HDFArchive(dft_filename+'.h5','a') as ar:
                ar['dmft_output']['iterations'] = iteration_number + previous_runs
                ar['dmft_output']['G'] = S.G
                ar['dmft_output']['Sigma'] = S.Sigma

        #Save essential SumkDFT data:
        SK.save(['chemical_potential','dc_imp','dc_energ','correnerg'])
        if (mpi.is_master_node()):
            print('DC after solver: ',SK.dc_imp[0])

        # print out occupancy matrix of Ce 4f
        mpi.report("Orbital densities of impurity Green function:")
        for s in dm:
            mpi.report("Block %s: "%s)
            for ii in range(len(dm[s])):
                str = ''
                for jj in range(len(dm[s])):
                    if (dm[s][ii,jj].real>0):
                        str += "   %.4f"%(dm[s][ii,jj].real)
                    else:
                        str += "  %.4f"%(dm[s][ii,jj].real)
                mpi.report(str)
        mpi.report("Total charge of impurity problem : %.6f"%S.G.total_density())


# find exact chemical potential
SK.chemical_potential = SK.calc_mu( precision = 0.000001 )

# calculate and save occupancy matrix in the Bloch basis for Wien2k charge denity recalculation
dN,d = SK.calc_density_correction(filename = dft_filename+'.qdmft')

mpi.report("Trace of Density Matrix: %s"%d)

# store correlation energy contribution to be read by Wien2ki and then included to DFT+DMFT total energy
if (mpi.is_master_node()):
    SK.correnerg -= SK.dc_energ[0]
    f=open(dft_filename+'.qdmft','a')
    f.write("%.16f\n"%SK.correnerg)
    f.close()