Tensor renormalization group for fermions

Akiyama, Shinichiro; Meurice, Yannick; Sakai, Ryo

doi:10.1088/1361-648X/ad4760

Tensor renormalization group for fermions

Journal Article · Tue May 28 00:00:00 EDT 2024 · Journal of Physics. Condensed Matter

DOI:https://doi.org/10.1088/1361-648X/ad4760· OSTI ID:2367426

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Abstract

We review the basic ideas of the tensor renormalization group method and show how they can be applied for lattice field theory models involving relativistic fermions and Grassmann variables in arbitrary dimensions. We discuss recent progress for entanglement filtering, loop optimization, bond-weighting techniques and matrix product decompositions for Grassmann tensor networks. The new methods are tested with two-dimensional Wilson–Majorana fermions and multi-flavor Gross–Neveu models. We show that the methods can also be applied to the fermionic Hubbard model in 1+1 and 2+1 dimensions.

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Research Organization:: Univ. of California, Oakland, CA (United States); Univ. of Iowa, Iowa City, IA (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC)

Grant/Contract Number:: AC02-05CH11231; SC0010113; SC0019139

OSTI ID:: 2367426

Alternate ID(s):: OSTI ID: 2345844
OSTI ID: 2578716

Journal Information:: Journal of Physics. Condensed Matter, Journal Name: Journal of Physics. Condensed Matter Journal Issue: 34 Vol. 36; ISSN 0953-8984

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United Kingdom

Language:: English

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