Wavefunction topology of two-dimensional time-reversal symmetric superconductors

Abstract

We discuss the topology of the wavefunctions of two-dimensional time-reversal symmetric superconductors. We consider (a) the planar state, (b) a system with broken up-down reflection symmetry, and (c) a system with general spin-orbit interaction. We show explicitly how the relative sign of the order parameter on the two Fermi surfaces affects this topology, and clarify the meaning of the $Z_2$ classification for these topological states.

only the Introduction has been modified from v1

References in corpus (3)

• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Edge modes, edge currents, and gauge invariance in $p_x+i{p}_y$ superfluids and superconductors

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