2014

Boundary-law scaling of entanglement entropy in diffusive metals

Potter, Andrew C.

Understand

Entanglement structure serves as a powerful way to characterize quantum many-body phases.

This is particularly so for gapless quantum liquids, where entanglement-based tools provide one of the only means to systematically characterize these complicated phases.
For example, the Fermi-surface structure of Fermi-liquids is revealed in entanglement entropy by a log-correction to the typical boundary-law scaling of simpler quantum ground-states.
In this paper, I analyze the entanglement structure of a disordered, but delocalized diffusive metal.

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A. Kitaev and J. Preskill Topological Entanglement Entropy
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Here I define “sharp” Fermi surface as having a continuous momentum space surface, for example the 2 k F 2k_{F} components of density associated with Friedel oscillations, at which certain correlation functions exhibit singularities. This definition includes non-Fermi liquids that lack coherent quasi-particles but which may nevertheless have a “sharp” Fermi surface structure in the sense defined here, and which also exhibit log-corrections to boundary law scaling Zhang
Cited in the paper.
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Then

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