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Phys. Rev. B 69, 214512 (2004) [5 pages]

Non-Abelian Berry phase and Chern numbers in higher spin-pairing condensates

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Chyh-Hong Chern1, Han-Dong Chen2, Congjun Wu1, Jiang-Ping Hu3, and Shou-Cheng Zhang1
1Department of Physics, McCullough Building, Stanford University, Stanford, California 94305-4045, USA
2Department of Applied Physics, McCullough Building, Stanford University, Stanford, California 94305-4045, USA
3Department of Physics and Astronomy, University of California, Los Angeles, California 90095-1547, USA

Received 4 October 2003; revised 27 January 2004; published 18 June 2004

We show that the non-Abelian Berry phase emerges naturally in the s-wave and spin quintet pairing channel of spin-3∕2 fermions. The topological structure of this pairing condensate is characterized by the second Chern number. This topological structure can be realized in ultracold atomic systems and in solid state systems with at least two Kramers doublets.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.69.214512
DOI:
10.1103/PhysRevB.69.214512
PACS:
74.90.+n, 71.10.Fd, 03.75.Nt, 02.40.Re