Sparse sampling and tensor network representation of two-particle Green's functions
Hiroshi Shinaoka, Dominique Geffroy, Markus Wallerberger, Junya Otsuki, Kazuyoshi Yoshimi, Emanuel Gull, Jan Kuneš
SciPost Phys. 8, 012 (2020) · published 28 January 2020
- doi: 10.21468/SciPostPhys.8.1.012
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Abstract
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.
Cited by 19
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Hiroshi Shinaoka,
- 2 3 Dominique Geffroy,
- 3 4 Markus Wallerberger,
- 5 Junya Otsuki,
- 6 Kazuyoshi Yoshimi,
- 4 Emanuel Gull,
- 3 7 Jan Kuneš
- 1 埼玉大学 / Saitama University
- 2 Universität Wien / University of Vienna
- 3 Masarykova univerzita / Masaryk University [MU]
- 4 University of Michigan–Ann Arbor [UM]
- 5 岡山大学 / Okayama University
- 6 東京大学 / University of Tokyo [UT]
- 7 Institute of Physics of the Czech Academy of Sciences [FZU]
- Austrian Science Fund (FWF) (through Organization: Fonds zur Förderung der wissenschaftlichen Forschung / FWF Austrian Science Fund [FWF])
- European Research Council [ERC]
- 日本学術振興会 / Japan Society for the Promotion of Science [JSPS]
- 文部科学省 Monbu-kagaku-shō / Ministry of Education, Culture, Sports, Science and Technology [MEXT]
- Ministarstvo Prosvete, Nauke i Tehnološkog Razvoja / Ministry of Education, Science and Technological Development
- Simons Foundation