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Numerical continuum tensor networks in two dimensions

Haghshenas, Reza and Cui, Zhi-Hao and Chan, Garnet Kin-Lic (2021) Numerical continuum tensor networks in two dimensions. Physical Review Research, 3 (2). Art. No. 023057. ISSN 2643-1564. doi:10.1103/PhysRevResearch.3.023057. https://resolver.caltech.edu/CaltechAUTHORS:20200923-104453194

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Abstract

We describe the use of tensor networks to numerically determine wave functions of interacting two-dimensional fermionic models in the continuum limit. We use two different tensor network states: one based on the numerical continuum limit of fermionic projected entangled pair states obtained via a tensor network formulation of multigrid and another based on the combination of the fermionic projected entangled pair state with layers of isometric coarse-graining transformations. We first benchmark our approach on the two-dimensional free Fermi gas then proceed to study the two-dimensional interacting Fermi gas with an attractive interaction in the unitary limit, using tensor networks on grids with up to 1000 sites.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevResearch.3.023057DOIArticle
https://arxiv.org/abs/2008.10566arXivDiscussion Paper
ORCID:
AuthorORCID
Haghshenas, Reza0000-0002-5593-8915
Cui, Zhi-Hao0000-0002-7389-4063
Chan, Garnet Kin-Lic0000-0001-8009-6038
Additional Information:© 2021 Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Received 31 August 2020; accepted 31 March 2021; published 19 April 2021. This work was supported by the US National Science Foundation (NSF) via grant CHE-1665333. GKC acknowledges support from the Simons Foundation via the Many-Electron Collaboration and via the Simons Investigator program. We have used the uni10 library [51] for implementation and pyscf [52] to obtain benchmark data. We thank H. Shi, J. Drut, and T. Berkelbach for helpful discussions regarding the unitary Fermi gas.
Funders:
Funding AgencyGrant Number
NSFCHE-1665333
Simons FoundationUNSPECIFIED
Issue or Number:2
DOI:10.1103/PhysRevResearch.3.023057
Record Number:CaltechAUTHORS:20200923-104453194
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200923-104453194
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:105489
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:23 Sep 2020 18:14
Last Modified:21 Apr 2021 16:59

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