Orthogonal polynomial representation of imaginary-time Green's functions

被引：185

作者：

Boehnke, Lewin ^{[1
]}

Hafermann, Hartmut ^{[2
]}

Ferrero, Michel ^{[2
]}

Lechermann, Frank ^{[1
]}

Parcollet, Olivier ^{[3
]}

机构：

[1] Univ Hamburg, Inst Theoret Phys 1, D-20355 Hamburg, Germany

[2] Ecole Polytech, CNRS, Ctr Phys Theor, F-91128 Palaiseau, France

[3] CNRS, Inst Phys Theor IPhT, CEA, URA 2306, F-91191 Gif Sur Yvette, France

来源：

PHYSICAL REVIEW B | 2011年 / 84卷 / 07期

关键词：

MONTE-CARLO;

D O I：

10.1103/PhysRevB.84.075145

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We study the expansion of single-particle and two-particle imaginary-time Matsubara Green's functions of quantum impurity models in the basis of Legendre orthogonal polynomials. We discuss various applications within the dynamical mean-field theory (DMFT) framework. The method provides a more compact representation of the Green's functions than standard Matsubara frequencies, and therefore significantly reduces the memory-storage size of these quantities. Moreover, it can be used as an efficient noise filter for various physical quantities within the continuous-time quantum Monte Carlo impurity solvers recently developed for DMFT and its extensions. In particular, we show how to use it for the computation of energies in the context of realistic DMFT calculations in combination with the local density approximation to the density functional theory (LDA+DMFT) and for the calculation of lattice susceptibilities from the local irreducible vertex function.

引用

页数：13

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