Predominance of the multimagnon incoherent component and minuteness of the zero-magnon coherent component in one-body Green’s functions for half-filled Hubbard models

1999 ◽  
Vol 60 (12) ◽  
pp. 8602-8609 ◽  
Author(s):  
Norikazu Tomita ◽  
Keiichiro Nasu
Keyword(s):  
Green's Functions ◽  
Green’S Functions ◽  
Hubbard Models ◽  
Coherent Component ◽  
Incoherent Component

scholarly journals Sparse sampling and tensor network representation of two-particle Green's functions

2020 ◽  
Vol 8 (1) ◽  
Author(s):  
Hiroshi Shinaoka ◽  
Dominique Geffroy ◽  
Markus Wallerberger ◽  
Junya Otsuki ◽  
Kazuyoshi Yoshimi ◽  
...  
Keyword(s):  
Green's Functions ◽  
Green’S Functions ◽  
Mean Field Theory ◽  
Mean Field ◽  
Sparse Sampling ◽  
Compact Representation ◽  
Hubbard Models ◽  
Network Representation ◽  
Tensor Network ◽  
Particle Level

Many-body calculations at the two-particle level require a compact representation of two-particle Green’s functions. In this paper, we introduce a sparse sampling scheme in the Matsubara frequency domain as well as a tensor network representation for two-particle Green’s functions. The sparse sampling is based on the intermediate representation basis and allows an accurate extraction of the generalized susceptibility from a reduced set of Matsubara frequencies. The tensor network representation provides a system independent way to compress the information carried by two-particle Green’s functions. We demonstrate efficiency of the present scheme for calculations of static and dynamic susceptibilities in single- and two-band Hubbard models in the framework of dynamical mean-field theory.

Temperature field evaluation of a two-dimensional partial heat flow problem through Green's Functions

2019 ◽  
Author(s):  
Guilherme Ramalho Costa ◽  
José Aguiar santos junior ◽  
José Ricardo Ferreira Oliveira ◽  
Jefferson Gomes do Nascimento ◽  
Gilmar Guimaraes
Keyword(s):  
Temperature Field ◽  
Heat Flow ◽  
Green's Functions ◽  
Flow Problem ◽  
Green’S Functions ◽  
Field Evaluation ◽  
Two Dimensional
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