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2009

Entanglement Entropy and the Fermi Surface

Swingle, Brian

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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.

Entanglement Entropy and the Fermi Surface · Around

Built on

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