@article{b5ec249405c441b0a1275bff92b33e13,
title = "Sparse sampling and tensor network representation of two-particle green{\textquoteright}s functions",
abstract = "Many-body calculations at the two-particle level require a compact representation of two-particle Green{\textquoteright}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{\textquoteright}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{\textquoteright}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.",
author = "Hiroshi Shinaoka and Dominique Geffroy and Markus Wallerberger and Junya Otsuki and Kazuyoshi Yoshimi and Emanuel Gull and Jan Kune{\v s}",
note = "Funding Information: Funding information H.S, J.O and K.Y were supported by JSPS KAKENHI Grant No. 18H01158. H.S. was supported by JSPS KAKENHI Grant No. 16K17735. J.O. was supported by JSPS KAKENHI Grant No. 18H04301 (J-Physics). K.Y. was supported by Building of Consortia for the Development of Human Resources in Science and Technology, MEXT, Japan. D.G and J.K were supported by the ERC Grant Agreements No. 646807 under EU Horizon 2020. D.G was supported by the Czech Science Foundation (GACˇR) under Project No. GA19-16937S. This work was supported by The Ministry of Education, Youth and Sports from the Large Infrastructures for Research, Experimental Development and Innovations project {"}IT4Innovations National Supercomputing Center – LM2015070{"}. MW and EG were supported by the Simons Foundation via the Simons Collaboration on the many-electron problem. Access to computing and storage facilities owned by parties and projects contributing to the National Grid Infrastructure MetaCentrum provided under the programme “Projects of Large Research, Development, and Innovations Infrastructures” (CESNET LM2015042), and by the Austrian Federal Ministry of Science, Research and Economy through the Vienna Scientific Cluster (VSC) Research Center, is greatly appreciated. Funding Information: HS thanks Lei Wang for stimulating discussions on tensor networks and machine learning. Part of the calculations were run on the facilities of the Supercomputer Center at the Institute for Solid State Physics, University of Tokyo, using codes based on ALPSCore [41, 42]. We used the irbasis library [43] for computing IR basis functions. We used DCore [44] based on TRIQS [45] and TRIQS/DFTTools [46] for DMFT calculations of the single-band Hubbard model. H.S, J.O and K.Y were supported by JSPS KAKENHI Grant No. 18H01158. H.S. was supported by JSPS KAKENHI Grant No. 16K17735. J.O. was supported by JSPS KAKENHI Grant No. 18H04301 (J-Physics). K.Y. was supported by Building of Consortia for the Development of Human Resources in Science and Technology, MEXT, Japan. D.G and J.K were supported by the ERC Grant Agreements No. 646807 under EU Horizon 2020. D.G was supported by the Czech Science Foundation (GA?R) under Project No. GA19-16937S. This work was supported by The Ministry of Education, Youth and Sports from the Large Infrastructures for Research, Experimental Development and Innovations project {"}IT4Innovations National Supercomputing Center ? LM2015070{"}. MW and EG were supported by the Simons Foundation via the Simons Collaboration on the many-electron problem. Access to computing and storage facilities owned by parties and projects contributing to the National Grid Infrastructure MetaCentrum provided under the programme ?Projects of Large Research, Development, and Innovations Infrastructures? (CESNET LM2015042), and by the Austrian Federal Ministry of Science, Research and Economy through the Vienna Scientific Cluster (VSC) Research Center, is greatly appreciated. Publisher Copyright: Copyright H. Shinaoka et al. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation.",
year = "2020",
month = jan,
doi = "10.21468/SciPostPhys.8.1.012",
language = "English",
volume = "8",
journal = "SciPost Physics",
issn = "2542-4653",
publisher = "SciPost Foundation",
number = "1",
}