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
template<typename Mesh>
std::vector< std::vector< long > >	triqs::modest::analyze_degenerate_blocks (block_gf< Mesh, matrix_valued > const &Gimp, double threshold=1.e-5)
	Find the generate blocks of a block GF by analyzing \( G(\tau=0) \) or \( G(i\omega_0) \) using the union-find algorithm.
template<typename Mesh>
block_gf< Mesh, matrix_valued >	triqs::modest::symmetrize (block_gf< Mesh, matrix_valued > const &g, std::vector< std::vector< long > > deg_bls)
	Symmetrize the blocks of a block Green's function given a list of it's degenerate blocks.
template<typename Mesh>
gf< Mesh, matrix_valued >	triqs::modest::symmetrize (gf< Mesh, matrix_valued > const &g, std::vector< std::vector< long > > deg_bls)
	Symmetrize the blocks of a block Green's function given a list of it's degenerate blocks.
std::vector< nda::matrix< dcomplex > >	triqs::modest::symmetrize (std::vector< nda::matrix< dcomplex > > const &bl_mat, std::vector< std::vector< long > > deg_bls)
	Symmetrize the blocks of a block matrix given a list of it's degenerate blocks.

Function Documentation

analyze_degenerate_blocks()

template<typename Mesh>

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

#include <triqs_modest/degenerate_blocks.hpp>

Find the generate blocks of a block GF by analyzing \( G(\tau=0) \) or \( G(i\omega_0) \) using the union-find algorithm.

We use the union-find algorithm to group the blocks of the block GF (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.

Template Parameters

Mesh	The mesh type.

Parameters

Gimp	Block Green's function.
threshold	Tolerance for equivalent of blocks.

Returns

A list of equivalent blocks.

Definition at line 28 of file degenerate_blocks.hpp.

symmetrize() [1/3]

template<typename Mesh>

block_gf< Mesh, matrix_valued > triqs::modest::symmetrize	(	block_gf< Mesh, matrix_valued > const &	g,
		std::vector< std::vector< long > >	deg_bls )

#include <triqs_modest/degenerate_blocks.hpp>

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

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

Template Parameters

Mesh	The mesh type.

Parameters

g	Block Green's function.
deg_bls	A list of the degenerate blocks.

Returns

The symmetrized Green's function.

Definition at line 78 of file degenerate_blocks.hpp.

symmetrize() [2/3]

template<typename Mesh>

gf< Mesh, matrix_valued > triqs::modest::symmetrize	(	gf< Mesh, matrix_valued > const &	g,
		std::vector< std::vector< long > >	deg_bls )

#include <triqs_modest/degenerate_blocks.hpp>

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

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

Template Parameters

Mesh	The mesh type.

Parameters

g	Block Green's function.
deg_bls	A list of the degenerate blocks.

Returns

The symmetrized Green's function.

Definition at line 108 of file degenerate_blocks.hpp.

symmetrize() [3/3]

std::vector< nda::matrix< dcomplex > > triqs::modest::symmetrize ( std::vector< nda::matrix< dcomplex > > const & bl_mat, std::vector< std::vector< long > > deg_bls )

inline

#include <triqs_modest/degenerate_blocks.hpp>

Symmetrize the blocks of a block matrix given a list of it's degenerate blocks.

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

Parameters

g	A block matrix (list of matrices).
deg_bls	A list of the degenerate blocks.

Returns

The symmetrized block matrix.

Definition at line 149 of file degenerate_blocks.hpp.