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

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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.