Journal article
Tensor Renormalization Group for fermions
Journal of physics. Condensed matter, Vol.36(34), 343002
05/28/2024
DOI: 10.1088/1361-648X/ad4760
PMID: 38701830
Appears in UI Libraries Support Open Access
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.
Details
- Title: Subtitle
- Tensor Renormalization Group for fermions
- Creators
- Shinichiro Akiyama - University of TsukubaYannick Meurice - University of IowaRyo Sakai - Jisc
- Resource Type
- Journal article
- Publication Details
- Journal of physics. Condensed matter, Vol.36(34), 343002
- Publisher
- IOP Publishing
- DOI
- 10.1088/1361-648X/ad4760
- PMID
- 38701830
- eISSN
- 1361-648X
- Language
- English
- Electronic publication date
- 05/03/2024
- Date published
- 05/28/2024
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984623025102771
Metrics
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