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• W2169514570 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." @default.
• W2169514570 created "2016-06-24" @default.
• W2169514570 creator A5081876301 @default.
• W2169514570 date "2006-01-12" @default.
• W2169514570 modified "2023-10-09" @default.
• W2169514570 title "Violation of the Entropic Area Law for Fermions" @default.
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• W2169514570 doi "https://doi.org/10.1103/physrevlett.96.010404" @default.
• W2169514570 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/16486427" @default.
• W2169514570 hasPublicationYear "2006" @default.
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