English

Entanglement entropy of integer Quantum Hall states in polygonal domains

Strongly Correlated Electrons 2011-01-17 v1

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.

Keywords

Cite

@article{arxiv.1007.5356,
  title  = {Entanglement entropy of integer Quantum Hall states in polygonal domains},
  author = {Ivan D. Rodriguez and German Sierra},
  journal= {arXiv preprint arXiv:1007.5356},
  year   = {2011}
}

Comments

8 pages, 6 figures