Entanglement entropy of integer Quantum Hall states
Mesoscale and Nanoscale Physics
2013-05-29 v3
Abstract
We compute the entanglement entropy, in real space, of the ground state of the integer Quantum Hall states for three different domains embedded in the torus, the disk and the sphere. We establish the validity of the area law with a vanishing value of the topological entanglement entropy. The entropy per unit length of the perimeter depends on the filling fraction, but it is independent of the geometry.
Cite
@article{arxiv.0811.2188,
title = {Entanglement entropy of integer Quantum Hall states},
author = {Ivan D. Rodriguez and German Sierra},
journal= {arXiv preprint arXiv:0811.2188},
year = {2013}
}
Comments
5 pages, 2 figures, minor changes, one reference added