Phys. Rev. B 80, 153303 (2009) [4 pages]Entanglement entropy of integer quantum Hall statesReceived 9 January 2009; revised 14 September 2009; published 7 October 2009 We compute the entanglement entropy, in the real space, of the ground state of the integer Quantum Hall states for three different domains embedded in the cylinder, 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. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.80.153303
DOI:
10.1103/PhysRevB.80.153303
PACS:
73.43.−f, 03.65.Ud
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