Thursday, May 23, 2013

1305.4948 (Anna Keselman et al.)

Inducing time reversal invariant topological superconductivity and
fermion parity pumping in quantum wires

Anna Keselman, Liang Fu, Ady Stern, Erez Berg
We propose a setup to realize time-reversal invariant topological superconductors in quantum wires, proximity coupled to conventional superconductors. We consider a model of quantum wire with strong spin-orbit coupling and proximity coupling to two s-wave superconductors. When the relative phase between the two superconductors is $\phi=\pi$ a Kramers' pair of Majorana zero modes appears at each edge of the wire. We study the robustness of the phase in presence of both time-reversal invariant and time-reversal breaking perturbations. In addition, we show that the system forms a natural realization of a fermion parity pump, switching the local fermion parity of both edges when the relative phase between the superconductors is changed adiabatically by $2\pi$.
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