Bulletin of the American Physical Society
APS March Meeting 2010
Volume 55, Number 2
Monday–Friday, March 15–19, 2010; Portland, Oregon
Session D2: Correlated System including Topological Insulators: Materials, Measurements, and Majorana Modes
2:30 PM–5:30 PM,
Monday, March 15, 2010
Room: Oregon Ballroom 202
Sponsoring Unit: DCMP
Chair: Patrick Lee, Massachusetts Institute of Technology
Abstract ID: BAPS.2010.MAR.D2.4
Abstract: D2.00004 : Fermi Surface Topological Invariants for Time Reversal Invariant Superconductors*
4:18 PM–4:54 PM
Preview Abstract Abstract
(University of Illinois at Urbana-Champaign)
A time reversal invariant (TRI) topological superconductor has a full pairing gap in the bulk and topologically protected gapless states on the surface or at the edge. In this paper, we show that in the weak pairing limit, the topological quantum number of a TRI superconductor can be completely determined by the Fermi surface properties, and is independent of the electronic structure away from the Fermi surface. In three dimensions (3D), the integer topological quantum number in a TRI superconductor is determined by the sign of the pairing order parameter and the first Chern number of the Berry phase gauge field on the Fermi surfaces. In two (2D) and one (1D) dimension, the $Z_2$ topological quantum number of a TRI superconductor is determined simply by the sign of the pairing order parameter on the Fermi surfaces. We also obtain a generic and explicit expression of the $Z_2$ topological invariant in 1D and 2D.
*In collaboration with Xiao-Liang Qi and Shou-Cheng Zhang, Stanford University.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2010.MAR.D2.4
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