dorsal/arxiv
View SchemaScaling Behavior of Entanglement in Two- and Three-Dimensional Free Fermions
| Authors | Weifei Li, Letian Ding, Rong Yu, Tommaso Roscilde, Stephan Haas |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0602094 |
| URL | https://arxiv.org/abs/quant-ph/0602094 |
| DOI | 10.1103/PhysRevB.74.073103 |
| Journal | Phys Rev B 74, 073103 (2006) |
Abstract
Exactly solving a spinless fermionic system in two and three dimensions, we investigate the scaling behavior of the block entropy in critical and non-critical phases. The scaling of the block entropy crucially depends on the nature of the excitation spectrum of the system and on the topology of the Fermi surface. Noticeably, in the critical phases the scaling violates the area law and acquires a logarithmic correction \emph{only} when a well defined Fermi surface exists in the system. When the area law is violated, we accurately verify a conjecture for the prefactor of the logarithmic correction, proposed by D. Gioev and I. Klich [quant-ph/0504151].
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"abstract": "Exactly solving a spinless fermionic system in two and three dimensions, we\ninvestigate the scaling behavior of the block entropy in critical and\nnon-critical phases. The scaling of the block entropy crucially depends on the\nnature of the excitation spectrum of the system and on the topology of the\nFermi surface. Noticeably, in the critical phases the scaling violates the area\nlaw and acquires a logarithmic correction \\emph{only} when a well defined Fermi\nsurface exists in the system. When the area law is violated, we accurately\nverify a conjecture for the prefactor of the logarithmic correction, proposed\nby D. Gioev and I. Klich [quant-ph/0504151].",
"arxiv_id": "quant-ph/0602094",
"authors": [
"Weifei Li",
"Letian Ding",
"Rong Yu",
"Tommaso Roscilde",
"Stephan Haas"
],
"categories": [
"quant-ph",
"cond-mat.str-el"
],
"doi": "10.1103/PhysRevB.74.073103",
"journal_ref": "Phys Rev B 74, 073103 (2006)",
"title": "Scaling Behavior of Entanglement in Two- and Three-Dimensional Free Fermions",
"url": "https://arxiv.org/abs/quant-ph/0602094"
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