Coexistence of topological charge density waves and superconductivity in a two-dimensional topological superconductor

Abstract

We perform microscopic mean-field studies of topological order in a two-dimensional s-wave topological superconductor with Rashba spin-orbit coupling and Zeeman field by solving the Bogoliubov-de Gennes equations. By solving for the spin-dependent Hartree potential self-consistently along with the superconducting order parameter, we show that topological charge density waves (TCDW) can coexist with topological superconductivity (TSC) at half filling just as in a conventional s-wave superconductor. Furthermore, we examine the effects of nonmagnetic impurities – which tend to create spin-polarised midgap excitation and pin the phase of charge density modulations – on possible interplay of TCDW and TSC.