| SHINAOKA, Hiroshi, Dominique Alain GEFFROY, Markus WALLERBERGER, Junya OTSUKI, Kazuyoshi YOSHIMI, Emanuel GULL a Jan KUNES. Sparse sampling and tensor network representation of two-particle Green's functions. SciPost Physics. Amsterdam: SciPost Foundation, 2020, roč. 8, č. 1, s. 1-23. ISSN 2542-4653. Dostupné z: https://dx.doi.org/10.21468/SciPostPhys.8.1.012. |
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@article{1699356,
author = {Shinaoka, Hiroshi and Geffroy, Dominique Alain and Wallerberger, Markus and Otsuki, Junya and Yoshimi, Kazuyoshi and Gull, Emanuel and Kunes, Jan},
article_location = {Amsterdam},
article_number = {1},
doi = {http://dx.doi.org/10.21468/SciPostPhys.8.1.012},
keywords = {Green's function; Hubbard model; Tensor networks},
language = {eng},
issn = {2542-4653},
journal = {SciPost Physics},
title = {Sparse sampling and tensor network representation of two-particle Green's functions},
url = {https://scipost.org/10.21468/SciPostPhys.8.1.012},
volume = {8},
year = {2020}
}
TY - JOUR
ID - 1699356
AU - Shinaoka, Hiroshi - Geffroy, Dominique Alain - Wallerberger, Markus - Otsuki, Junya - Yoshimi, Kazuyoshi - Gull, Emanuel - Kunes, Jan
PY - 2020
TI - Sparse sampling and tensor network representation of two-particle Green's functions
JF - SciPost Physics
VL - 8
IS - 1
SP - 1-23
EP - 1-23
PB - SciPost Foundation
SN - 25424653
KW - Green's function
KW - Hubbard model
KW - Tensor networks
UR - https://scipost.org/10.21468/SciPostPhys.8.1.012
L2 - https://scipost.org/10.21468/SciPostPhys.8.1.012
N2 - 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.
ER -
SHINAOKA, Hiroshi, Dominique Alain GEFFROY, Markus WALLERBERGER, Junya OTSUKI, Kazuyoshi YOSHIMI, Emanuel GULL a Jan KUNES. Sparse sampling and tensor network representation of two-particle Green's functions. \textit{SciPost Physics}. Amsterdam: SciPost Foundation, 2020, roč.~8, č.~1, s.~1-23. ISSN~2542-4653. Dostupné z: https://dx.doi.org/10.21468/SciPostPhys.8.1.012.
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