2009/08/31 by Brian Swingle · 1 citation
Physics and Astronomy · #cond-mat.str-el #hep-th #quant-ph
paper · pdf · doi:10.1103/physrevlett.105.050502
published as Phys. Rev. Lett. 105, 050502 (2010) · 4 pages, 2 improved figures added, references added
arxiv created 2010/03/11 · arxiv updated 2012/10/03
Free fermions with a finite Fermi surface are known to exhibit an anomalously large entanglement entropy. The leading contribution to the entanglement entropy of a region of linear size L in d spatial dimensions is S∼ Ld-1 logL, a result that should be contrasted with the usual boundary law S ∼ Ld-1. This term depends only on the geometry of the Fermi surface and on the boundary of the region in question. I give an intuitive account of this anomalous scaling based on a low energy description of the Fermi surface as a collection of one dimensional gapless modes. Using this picture, I predict a violation of the boundary law in a number of other strongly correlated systems.