Phys. Rev. B 80, 180504(R) (2009) [4 pages]

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

Abstract

References

Citing Articles (10)

Download: PDF (253 kB) Buy this article Export: BibTeX or EndNote (RIS)

Noah Bray-Ali¹, Letian Ding², 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

Received 19 August 2009; published 11 November 2009

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 p_x+ip_y 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.

URL:

http://link.aps.org/doi/10.1103/PhysRevB.80.180504

DOI:

10.1103/PhysRevB.80.180504

PACS:

74.20.Rp, 64.70.Tg, 03.65.Ud

About | Terms and Conditions | Subscriptions | Search | Help

Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.

Citation Search:

Phys. Rev. B 80, 180504(R) (2009) [4 pages]

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