Entanglement entropy of integer Quantum Hall states

Details Entanglement entropy of integer Quantum Hall states Entanglement entropy of integer Quantum Hall states

2008-11-13

arxiv.org/abs/0811.2188v3

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 2 figures, minor changes, one reference added

Scientific paper

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.

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