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https://github.com/triqs/dft_tools
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100 lines
4.9 KiB
Python
100 lines
4.9 KiB
Python
from triqs.utility.comparison_tests import *
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from triqs_dft_tools.sumk_dft import *
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import numpy as np
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def is_diagonal_matrix(M):
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return abs(np.sum(M-np.diag(np.diagonal(M)))) < 1e-10
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def call_diagonalize(SK):
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SK.block_structure.transformation = None
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t_sumk_eal = SK.calculate_diagonalization_matrix(prop_to_be_diagonal='eal', calc_in_solver_blocks=False, write_to_blockstructure = True)
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SK.block_structure.transformation = None
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t_solver_eal = SK.calculate_diagonalization_matrix(prop_to_be_diagonal='eal', calc_in_solver_blocks=True, write_to_blockstructure = True)
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SK.block_structure.transformation = None
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t_solver_dm = SK.calculate_diagonalization_matrix(prop_to_be_diagonal='dm', calc_in_solver_blocks=False, write_to_blockstructure = True)
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SK.block_structure.transformation = None
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t_sumk_dm = SK.calculate_diagonalization_matrix(prop_to_be_diagonal='dm', calc_in_solver_blocks=True, write_to_blockstructure = True)
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SK.block_structure.transformation = None
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return t_sumk_eal, t_solver_eal, t_sumk_dm, t_solver_dm
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SK = SumkDFT(hdf_file = 'SrVO3.ref.h5', use_dft_blocks=True)
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# only eal and dm are allowed
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SK.block_structure.transformation = None
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assert not SK.calculate_diagonalization_matrix(prop_to_be_diagonal='test')
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# check for shell index
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assert not SK.calculate_diagonalization_matrix(shells = [15])
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# calling the function twice leads to block_structure.transformation already being set
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SK.calculate_diagonalization_matrix()
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assert not SK.calculate_diagonalization_matrix()
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SK.block_structure.transformation = None
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# Check writing to block_structure
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SK.calculate_diagonalization_matrix(write_to_blockstructure=False)
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assert SK.block_structure.transformation is None
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SK.block_structure.transformation = None
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SK.calculate_diagonalization_matrix(write_to_blockstructure=True)
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assert SK.block_structure.transformation is not None
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SK.block_structure.transformation = None
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t_sumk_eal, t_solver_eal, t_sumk_dm, t_solver_dm = call_diagonalize(SK)
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# All matrices should be identities
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for orb in range(SK.n_corr_shells):
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for block in t_solver_eal[orb]:
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assert_arrays_are_close(t_sumk_eal[orb][block],np.identity(3), precision=1e-6)
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assert_arrays_are_close(t_sumk_dm[orb][block],np.identity(3), precision=1e-6)
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assert_arrays_are_close(t_solver_eal[orb][block],np.identity(3), precision=1e-6)
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assert_arrays_are_close(t_solver_dm[orb][block],np.identity(3), precision=1e-6)
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SK = SumkDFT(hdf_file = 'w90_convert_wannier.ref.h5', use_dft_blocks=True)
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t_sumk_eal, t_solver_eal, t_sumk_dm, t_solver_dm = call_diagonalize(SK)
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# In this example solver and sumk should be the same
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for orb in range(SK.n_corr_shells):
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for block in t_solver_eal[orb]:
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assert_arrays_are_close(t_sumk_eal[orb][block],t_solver_eal[orb][block], precision=1e-6)
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assert_arrays_are_close(t_sumk_dm[orb][block],t_solver_dm[orb][block], precision=1e-6)
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# Check if transformations make eal and dm really diagonal
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eal = SK.eff_atomic_levels()[0]
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for e in eal:
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assert is_diagonal_matrix(np.dot(np.dot(t_solver_eal[0][e], eal[e].conj().T),t_solver_eal[0][e].conj().T))
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dm = SK.density_matrix(method='using_point_integration')
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for dmi in dm:
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for e in dmi:
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assert is_diagonal_matrix(np.dot(np.dot(t_solver_dm[0][e], dmi[e].conj().T),t_solver_dm[0][e].conj().T))
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# Test convert_operator
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SK = SumkDFT(hdf_file = 'SrVO3.ref.h5', use_dft_blocks=True)
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BS = SK.block_structure
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from triqs.operators.util import h_int_slater, U_matrix, t2g_submatrix, transform_U_matrix
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U3x3 = t2g_submatrix(U_matrix(2, U_int=2, J_hund=0.2, basis='spheric'))
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BS.transformation = [{'up':np.eye(3), 'down': np.eye(3)}]
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H0 = h_int_slater(spin_names=['up','down'], orb_names=range(3), U_matrix=U3x3, off_diag=False)
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H1 = h_int_slater(spin_names=['up','down'], orb_names=range(3), U_matrix=U3x3, off_diag=True)
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assert( H0 == BS.convert_operator(H1) )
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# Trafo Matrix switching index 1 & 2
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BS.transformation = [{'up':np.array([[1,0,0],[0,0,1],[0,1,0]]), 'down': np.array([[1,0,0],[0,0,1],[0,1,0]])}]
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H2 = BS.convert_operator(h_int_slater(spin_names=['up','down'], orb_names=[0,2,1], U_matrix=U3x3, off_diag=True))
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assert( H0 == H2 )
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BS.transformation = [{'up':np.array([[1,0,0],[0,1/np.sqrt(2),1/np.sqrt(2)],[0,1/np.sqrt(2),-1/np.sqrt(2)]]), 'down': np.array([[1,0,0],[0,1/np.sqrt(2),1/np.sqrt(2)],[0,1/np.sqrt(2),-1/np.sqrt(2)]])}]
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H3 = BS.convert_operator(h_int_slater(spin_names=['up','down'], orb_names=[0,1,2], U_matrix=U3x3, off_diag=True))
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for op in H3:
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for c_op in op[0]:
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assert(BS.gf_struct_solver_dict[0][c_op[1][0]][c_op[1][1]] is not None) # This crashes with a key error if the operator structure is not the solver structure
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U_trafod = transform_U_matrix(U3x3, BS.transformation[0]['up'].conjugate()) # The notorious .conjugate()
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H4 = h_int_slater(spin_names=['up','down'], orb_names=range(3), U_matrix=U_trafod, map_operator_structure=BS.sumk_to_solver[0])
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assert( H4 == H3 ) # check that convert_operator does the same as transform_U_matrix
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