Entanglement entropy of integer Quantum Hall states in polygonal domains

Details Entanglement entropy of integer Quantum Hall states in polygonal domains Entanglement entropy of integer Quantum Hall states in polygonal domains

2010-07-30

arxiv.org/abs/1007.5356v1

J.Stat.Mech.1012:P12033,2010

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, 6 figures

Scientific paper

10.1088/1742-5468/2010/12/P12033

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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