Analyze Green's functions

Detailed Description

Methods to analyze the degenerate blocks of a Green's function and use those blocks to symmetrize the Green's function object.

Functions
std::vector< std::vector< long > >	triqs::modest::analyze_degenerate_blocks (block_gf< imfreq, matrix_valued > const &Gimp, double threshold=1.e-5)
	Find the generate blocks of a BlockGf by analyzing G(τ=0) or G(iω₀) using the union-find algorithm.
block_gf< imfreq, matrix_valued >	triqs::modest::symmetrize_gf (block_gf< imfreq, matrix_valued > const &Gin, std::vector< std::vector< long > > degenerate_blocks)
	Symmetrize the blocks of a Green's function given a list of it's degenerate blocks.

Function Documentation

analyze_degenerate_blocks()

std::vector< std::vector< long > > triqs::modest::analyze_degenerate_blocks ( block_gf< imfreq, matrix_valued > const &  Gimp, double  threshold = 1.e-5  )

inline

#include <triqs_modest/degenerate_blocks.hpp>

Find the generate blocks of a BlockGf by analyzing G(τ=0) or G(iω₀) using the union-find algorithm.

We use the union-find algorithm to group the blocks of the BlockGf (matrices) into equivalence classes based on approximate numerical equality. If two matrices are approximately equal, their blocks are united into the same set. The final result is a partitioning of the blocks (matrices) into degenerate groups.

Parameters

Gimp	Block Green's function
threshold	tolerance for equivalence of blocks

Returns

A list of equivalent blocks

Definition at line 57 of file degenerate_blocks.hpp.

symmetrize_gf()

block_gf< imfreq, matrix_valued > triqs::modest::symmetrize_gf ( block_gf< imfreq, matrix_valued > const &  Gin, std::vector< std::vector< long > >  degenerate_blocks  )

inline

#include <triqs_modest/degenerate_blocks.hpp>

Symmetrize the blocks of a Green's function given a list of it's degenerate blocks.

Average the degenerate blocks and replace the degenerate ones with their average.

Parameters

Gin	Block Green's function
degenerate_blocks	a list of the degenerate blocks.

Returns

The symmetrized Green's function.

Definition at line 93 of file degenerate_blocks.hpp.