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Topological order in paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries

Source: Phys. Rev. B 80, 180504(R) (2009); doi:10.1103/PhysRevB.80.180504

Published 11 November 2009

KEYWORDS and PACS
Keywords
PACS
  • 74.20.Rp
    Pairing symmetries (other than s-wave) in superconductivity theory
  • 64.70.Tg
    Quantum phase transitions
  • 03.65.Ud
    Entanglement and quantum nonlocality
  • YEAR: 2009
PUBLICATION DATA
Publisher:
AIP is a member of CrossRef APS
Noah Bray-Ali,1 Letian Ding,2 and Stephan Haas2
1Department of Physics and Astronomy, University of Kentucky, Lexington, Kentucky 40506, USA
2Department of Physics and Astronomy, University of Southern California, Los Angeles, California 90089, USA
We numerically evaluate the entanglement spectrum (singular value decomposition of the wave function) of paired states of fermions in two dimensions that break parity and time-reversal symmetries, focusing on the spin-polarized px+ipy case. The entanglement spectrum of the weak-pairing (BCS) phase contains a Majorana zero mode, indicating non-Abelian topological order. In contrast, for the strong-pairing (Bose-Einstein condensation) phase, we find no such mode, consistent with Abelian topological order. ©2009 The American Physical Society
History: Received 19 August 2009; published 11 November 2009
Permalink: http://link.aps.org/abstract/PRB/v80/e180504
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