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arXiv · 0908.1724

Entanglement Entropy and the Fermi Surface

Brian Swingle
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Abstract

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 $S\sim L^{d-1} \log{L}$, a result that should be contrasted with the usual boundary law $S \sim L^{d-1}$. 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.

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Brian Swingle. 2010-03-11. Entanglement Entropy and the Fermi Surface. https://doi.org/10.1103/physrevlett.105.050502

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