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arXiv · 1007.5356

Entanglement entropy of integer Quantum Hall states in polygonal domains

Ivan D. Rodriguez·German Sierra
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Abstract

The entanglement entropy of the integer Quantum Hall states satisfies the area law for smooth domains with a vanishing topological term. In this paper we consider polygonal domains for which the area law acquires a constant term that only depends on the angles of the vertices and we give a general expression for it. We study also the dependence of the entanglement spectrum on the geometry and give it a simple physical interpretation.

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Ivan D. Rodriguez, German Sierra. 2010-07-30. Entanglement entropy of integer Quantum Hall states in polygonal domains. https://doi.org/10.1088/1742-5468%2F2010%2F12%2Fp12033

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