Entanglement entropy of integer quantum Hall states
Source: Phys. Rev. B 80, 153303 (2009); doi:10.1103/PhysRevB.80.153303
Published 7 October 2009
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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
| History: | Received 9 January 2009; revised 14 September 2009; published 7 October 2009 |
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http://link.aps.org/abstract/PRB/v80/e153303 |
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- L. Amico, R. Fazio, A. Osterloh, and V. Vedral, Rev. Mod. Phys. 80, 517 (2008).
- M. M. Wolf, F. Verstraete, M. B. Hastings, and J. I. Cirac, Phys. Rev. Lett. 100, 070502 (2008).
- A. Kitaev and J. Preskill, Phys. Rev. Lett. 96, 110404 (2006)
- M. Haque, O. Zozulya, and K. Schoutens, Phys. Rev. Lett. 98, 060401 (2007)
- B. A. Friedman and G. C. Levine, Phys. Rev. B 78, 035320 (2008).
- S. Iblisdir, J. I. Latorre, and R. Orus, Phys. Rev. Lett. 98, 060402 (2007)
- G. Vidal, J. I. Latorre, E. Rico, and A. Kitaev, Phys. Rev. Lett. 90, 227902 (2003)
H. Li and F. D. M. Haldane, Phys. Rev. Lett. 101, 010504 (2008)
O. Zozulya, M. Haque, and N. Regnault, Phys. Rev. B 79, 045409 (2009).
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