Entanglement entropy of integer Quantum Hall states in polygonal domains

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.

8 pages, 6 figures

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• Geometric entanglement in integer quantum Hall states
• Mixed-State Entanglement Measures in Topological Order
• Entanglement Entropy at Generalized Rokhsar-Kivelson Points of Quantum Dimer Models
• Asymptotic growth of the local ground-state entropy of the ideal Fermi gas in a constant magnetic field
• Entanglement entropy for integer quantum Hall effect in two and higher dimensions
• On the stability of the area law for the entanglement entropy of the Landau Hamiltonian
• Entanglement Entropy and Phase Space Density: Lowest Landau Levels and 1/2 BPS states