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dft_tools/python/trans_basis.py
2014-11-18 11:44:14 +01:00

138 lines
4.8 KiB
Python

from pytriqs.applications.dft.sumk_dft import *
from pytriqs.applications.dft.converters import Wien2kConverter
from pytriqs.gf.local.block_gf import BlockGf
from pytriqs.gf.local.gf_imfreq import GfImFreq
from pytriqs.archive import *
import pytriqs.utility.mpi as mpi
import numpy
import copy
class TransBasis:
'''Computates rotations into a new basis in order to make certain quantities diagonal.'''
def __init__(self, SK=None, hdf_datafile=None):
'''Inits the class by reading the input.'''
if SK is None:
# build our own SK instance
if hdf_datafile is None:
mpi.report("trans_basis: give SK instance or HDF filename!")
return 0
Converter = Wien2kConverter(filename=hdf_datafile,repacking=False)
Converter.convert_dmft_input()
del Converter
self.SK = SumkDFT(hdf_file=hdf_datafile+'.h5',use_dft_blocks=False)
else:
self.SK = SK
self.T = copy.deepcopy(self.SK.T[0])
self.w = numpy.identity(SK.corr_shells[0][3])
def __call__(self, prop_to_be_diagonal = 'eal'):
'''Calculates the diagonalisation.'''
if prop_to_be_diagonal == 'eal':
prop = self.SK.eff_atomic_levels()[0]
elif prop_to_be_diagonal == 'dm':
prop = self.SK.density_matrix(method = 'using_point_integration')[0]
else:
mpi.report("trans_basis: not a valid quantitiy to be diagonal. Choices are 'eal' or 'dm'.")
return 0
if self.SK.SO == 0:
self.eig,self.w = numpy.linalg.eigh(prop['up'])
# calculate new Transformation matrix
self.T = numpy.dot(self.T.transpose().conjugate(),self.w).conjugate().transpose()
else:
self.eig,self.w = numpy.linalg.eigh(prop['ud'])
# calculate new Transformation matrix
self.T = numpy.dot(self.T.transpose().conjugate(),self.w).conjugate().transpose()
# measure for the 'unity' of the transformation:
wsqr = sum(abs(self.w.diagonal())**2)/self.w.diagonal().size
return wsqr
def rotate_gf(self,gf_to_rot):
'''Rotates a given GF into the new basis.'''
# build a full GF
gfrotated = BlockGf( name_block_generator = [ (block,GfImFreq(indices = inner, mesh = gf_to_rot.mesh)) for block,inner in self.SK.gf_struct_sumk[0] ], make_copies = False)
# transform the CTQMC blocks to the full matrix:
ish = self.SK.corr_to_inequiv[0] # ish is the index of the inequivalent shell corresponding to icrsh
for block, inner in self.gf_struct_solver[ish].iteritems():
for ind1 in inner:
for ind2 in inner:
gfrotated[self.SK.solver_to_sumk_block[ish][block]][ind1,ind2] << gf_to_rot[block][ind1,ind2]
# Rotate using the matrix w
for bname,gf in gfrotated:
gfrotated[bname].from_L_G_R(self.w.transpose().conjugate(),gfrotated[bname],self.w)
gfreturn = gf_to_rot.copy()
# Put back into CTQMC basis:
for block, inner in self.gf_struct_solver[ish].iteritems():
for ind1 in inner:
for ind2 in inner:
gfreturn[block][ind1,ind2] << gfrotated[self.SK.solver_to_sumk_block[0][block]][ind1,ind2]
return gfreturn
def write_trans_file(self, filename):
'''Writes the new transformation into a file readable by dmftproj.'''
f = open(filename,'w')
Tnew = self.T.conjugate()
dim = self.SK.corr_shells[0][3]
if self.SK.SO == 0:
for i in range(dim):
st = ''
for k in range(dim):
st += " %9.6f"%(Tnew[i,k].real)
st += " %9.6f"%(Tnew[i,k].imag)
for k in range(2*dim):
st += " 0.0"
if i < (dim-1):
f.write("%s\n"%(st))
else:
st1 = st.replace(' ','*',1)
f.write("%s\n"%(st1))
for i in range(dim):
st = ''
for k in range(2*dim):
st += " 0.0"
for k in range(dim):
st += " %9.6f"%(Tnew[i,k].real)
st += " %9.6f"%(Tnew[i,k].imag)
if i < (dim-1):
f.write("%s\n"%(st))
else:
st1 = st.replace(' ','*',1)
f.write("%s\n"%(st1))
else:
for i in range(dim):
st = ''
for k in range(dim):
st += " %9.6f"%(Tnew[i,k].real)
st += " %9.6f"%(Tnew[i,k].imag)
if i < (dim-1):
f.write("%s\n"%(st))
else:
st1 = st.replace(' ','*',1)
f.write("%s\n"%(st1))
f.close()