A new class of (2 + 1)-dimensional topological superconductors with $\mathbb {Z}_8$ topological classification

Xiao-Liang Qi
2013 New Journal of Physics  
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 $Z_2$. 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
more » ... uperconductors in $(2+1)$ dimensions which has time-reversal symmetry and a $\mathbb{Z}_2$ spin conservation symmetry. We demonstrate that the superconductors in this class is classified by $\mathbb{Z}_8$ when electron interaction is considered, while the classification is $\mathbb{Z}$ without interaction.
doi:10.1088/1367-2630/15/6/065002 fatcat:3fmrqebthvejjnnrsu64sdwfdu