A new class of (2+1)-d topological superconductor with ℤ₈ topological classification

2012/02/20 by Xiao-Liang Qi · 2 citations
Physics and Astronomy · #cond-mat.str-el

paper · pdf · doi:10.1088/1367-2630/15/6/065002

published as New J. Phys. 15 (2013) 065002 · 5 pages main text and 3 pages appendix. 1 figure

arxiv created 2012/02/20 · arxiv updated 2013/06/05

Abstract

The classification of topological states of matter depends on spatial dimension and symmetry class. For non-interacting topological insulators and superconductors the topological classification is obtained systematically and nontrivial topological insulators are classified by either integer or Z₂. The classification of interacting topological states of matter is much more complicated and only special cases are understood. In this paper we study a new class of topological superconductors in (2+1) dimensions which has time-reversal symmetry and a ℤ₂ spin conservation symmetry. We demonstrate that the superconductors in this class is classified by ℤ₈ when electron interaction is considered, while the classification is ℤ without interaction.

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