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https://github.com/triqs/dft_tools
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118 lines
4.8 KiB
Python
118 lines
4.8 KiB
Python
from pytriqs.gf import *
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from triqs_dft_tools.sumk_dft import SumkDFT
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import numpy as np
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from pytriqs.utility.comparison_tests import assert_block_gfs_are_close
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# here we test the SK.analyse_block_structure_from_gf function
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# with GfReFreq, GfReTime
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# helper function to get random Hermitian matrix
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def get_random_hermitian(dim):
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herm = np.random.rand(dim,dim)+1.0j*np.random.rand(dim,dim)
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herm = herm + herm.conjugate().transpose()
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return herm
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# helper function to get random unitary matrix
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def get_random_transformation(dim):
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herm = get_random_hermitian(dim)
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T = expm(1.0j*herm)
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return T
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# construct a random block-diagonal Hloc
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Hloc = np.zeros((10,10), dtype=np.complex_)
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# the Hloc of the first three 2x2 blocks is equal
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Hloc0 = get_random_hermitian(2)
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Hloc[:2,:2] = Hloc0
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Hloc[2:4,2:4] = Hloc0
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Hloc[4:6,4:6] = Hloc0
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# the Hloc of the last two 2x2 blocks is equal
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Hloc1 = get_random_hermitian(2)
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Hloc[6:8,6:8] = Hloc1
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Hloc[8:,8:] = Hloc1
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# construct the hybridization delta
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# this is equal for all 2x2 blocks
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V = get_random_hermitian(2) # the hopping elements from impurity to bath
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b1 = np.random.rand() # the bath energy of the first bath level
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b2 = np.random.rand() # the bath energy of the second bath level
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delta = GfReFreq(window=(-10,10), indices=range(2), n_points=1001)
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delta[0,0] << (V[0,0]*V[0,0].conjugate()*inverse(Omega-b1)+V[0,1]*V[0,1].conjugate()*inverse(Omega-b2+0.02j))/2.0
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delta[0,1] << (V[0,0]*V[1,0].conjugate()*inverse(Omega-b1)+V[0,1]*V[1,1].conjugate()*inverse(Omega-b2+0.02j))/2.0
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delta[1,0] << (V[1,0]*V[0,0].conjugate()*inverse(Omega-b1)+V[1,1]*V[0,1].conjugate()*inverse(Omega-b2+0.02j))/2.0
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delta[1,1] << (V[1,0]*V[1,0].conjugate()*inverse(Omega-b1)+V[1,1]*V[1,1].conjugate()*inverse(Omega-b2+0.02j))/2.0
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# construct G
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G = BlockGf(name_block_generator=[('ud',GfReFreq(window=(-10,10), indices=range(10), n_points=1001))], make_copies=False)
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for i in range(0,10,2):
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G['ud'][i:i+2,i:i+2] << inverse(Omega-delta+0.02j)
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G['ud'] << inverse(inverse(G['ud']) - Hloc)
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SK = SumkDFT(hdf_file = 'SrIrO3_rot.h5', use_dft_blocks=False)
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G_new = SK.analyse_block_structure_from_gf([G])
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G_new_symm = G_new[0].copy()
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SK.symm_deg_gf(G_new_symm, 0)
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assert_block_gfs_are_close(G_new[0], G_new_symm)
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assert SK.gf_struct_sumk == [[('ud', [0, 1, 2, 3, 4, 5, 6, 7, 8, 9])], [('ud', [0, 1, 2, 3, 4, 5, 6, 7, 8, 9])]],\
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"wrong gf_struct_sumk"
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for i in range(5):
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assert 'ud_{}'.format(i) in SK.gf_struct_solver[0], "missing block"
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assert SK.gf_struct_solver[0]['ud_{}'.format(i)] == range(2), "wrong block size"
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for i in range(10):
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assert SK.sumk_to_solver[0]['ud',i] == ('ud_{}'.format(i/2), i%2), "wrong mapping"
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assert len(SK.deg_shells[0]) == 2, "wrong number of equivalent groups found"
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assert sorted([len(d) for d in SK.deg_shells[0]]) == [2,3], "wrong number of members in the equivalent groups found"
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for d in SK.deg_shells[0]:
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if len(d)==2:
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assert 'ud_3' in d, "shell ud_3 missing"
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assert 'ud_4' in d, "shell ud_4 missing"
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if len(d)==3:
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assert 'ud_0' in d, "shell ud_0 missing"
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assert 'ud_1' in d, "shell ud_1 missing"
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assert 'ud_2' in d, "shell ud_2 missing"
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def get_delta_from_mesh(mesh):
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w0 = None
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for w in mesh:
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if w0 is None:
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w0 = w
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else:
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return w-w0
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Gt = BlockGf(name_block_generator = [(name,
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GfReTime(window=(-np.pi*(len(block.mesh)-1) / (len(block.mesh)*get_delta_from_mesh(block.mesh)), np.pi*(len(block.mesh)-1) / (len(block.mesh)*get_delta_from_mesh(block.mesh))),
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n_points=len(block.mesh),
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indices=block.indices)) for name, block in G], make_copies=False)
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known_moments = np.zeros((2,10,10), dtype=np.complex)
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known_moments[1,:] = np.eye(10)
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Gt['ud'].set_from_inverse_fourier(G['ud'], known_moments)
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G_new = SK.analyse_block_structure_from_gf([Gt])
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G_new_symm = G_new[0].copy()
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SK.symm_deg_gf(G_new_symm, 0)
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assert_block_gfs_are_close(G_new[0], G_new_symm)
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assert SK.gf_struct_sumk == [[('ud', [0, 1, 2, 3, 4, 5, 6, 7, 8, 9])], [('ud', [0, 1, 2, 3, 4, 5, 6, 7, 8, 9])]],\
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"wrong gf_struct_sumk"
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for i in range(5):
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assert 'ud_{}'.format(i) in SK.gf_struct_solver[0], "missing block"
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assert SK.gf_struct_solver[0]['ud_{}'.format(i)] == range(2), "wrong block size"
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for i in range(10):
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assert SK.sumk_to_solver[0]['ud',i] == ('ud_{}'.format(i/2), i%2), "wrong mapping"
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assert len(SK.deg_shells[0]) == 2, "wrong number of equivalent groups found"
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assert sorted([len(d) for d in SK.deg_shells[0]]) == [2,3], "wrong number of members in the equivalent groups found"
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for d in SK.deg_shells[0]:
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if len(d)==2:
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assert 'ud_3' in d, "shell ud_3 missing"
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assert 'ud_4' in d, "shell ud_4 missing"
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if len(d)==3:
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assert 'ud_0' in d, "shell ud_0 missing"
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assert 'ud_1' in d, "shell ud_1 missing"
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assert 'ud_2' in d, "shell ud_2 missing"
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