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Cited by 475

The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.

Violation of the Entropic Area Law for Fermions

Open access
Wolf, Michael M.·2006·Physical Review Letters
DOI 10.1103/physrevlett.96.010404
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Abstract

We investigate the scaling of the entanglement entropy in an infinite translational invariant fermionic system of any spatial dimension. The states under consideration are ground states and excitations of tight-binding Hamiltonians with arbitrary interactions. We show that the entropy of a finite region typically scales with the area of the surface times a logarithmic correction. Thus, in contrast with analogous bosonic systems, the entropic area law is violated for fermions. The relation between the entanglement entropy and the structure of the Fermi surface is discussed, and it is proven that the presented scaling law holds whenever the Fermi surface is finite. This is, in particular, true for all ground states of Hamiltonians with finite range interactions.

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Metadata

Authors
Wolf, M. M.
Venue
Physical Review Letters
Publisher
American Physical Society (APS)
Published
2006-01-12
Volume
96
Issue
1
Pages
010404-010404
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
DOI
10.1103/physrevlett.96.010404
OpenAlex
W2169514570
Cited by
475
References
5
FWCI
15.89
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Violation of the Entropic Area Law for Fermions. https://app.cochat.ai/papers/10.1103/physrevlett.96.010404
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Wolf, M. M. (2006). Violation of the Entropic Area Law for Fermions. Physical Review Letters. https://doi.org/10.1103/physrevlett.96.010404

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.