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Entanglement entropy of integer Quantum Hall states · Around

2008

Entanglement entropy of integer Quantum Hall states

Rodriguez, Ivan D., Sierra, German

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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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G. Vidal, J. I. Latorre, E. Rico and A. Kitaev, Phys. Rev. Lett. 90, 227902 (2003); B.-Q.Jin, V.E.Korepin, J.Stat.Phys. 116,Nos. 1-4,79-95,(2004); I. Peschel, J. Stat. Mech. P06004 (2004); I. Peschel, J. Phys. A 36, L205 (2003); M.-C. Chung and I. Peschel, Phys. Rev. B 64, 064412 (2001); I. Peschel et al., Ann. Physik (Leipzig) 8, 153 (1999)
1999
Earlier work this paper cites.
C. Holzhey, F. Larsen, and F. Wilczek, Nucl. Phys. B424, 443 (1995); P. Calabrese and J. Cardy, J. Stat. Mech. 0406, 002 (2004)
2004
Earlier work this paper cites.
A. Kitaev and J. Preskill, Phys. Rev. Lett. 96, 110404 (2006); M. Levin and X. G. Wen, Phys. Rev. Lett. 96, 110405 (2006)
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