Supercurrent-induced topological phase transitions

We show that finite current in superconductors can induce topological phase\ntransitions, as a result of the deformation of the quasiparticle spectrum by a\nfinite center-of-mass (COM) momentum of the Cooper pairs. To show the wide\napplicability of this mechanism, we examine the topological properties of three\nprototypical systems, the Kitaev chain, $s$-wave superconductors, and $d$-wave\nsuperconductors. We introduce a finite COM momentum as an external field\ncorresponding to supercurrent and show that all the models exhibit\ncurrent-induced topological phase transitions. We also discuss the possibility\nof observing the phase transitions in experiments and the relation to the other\nfinite COM momentum pairing states.\n