1301.0538 (Eytan Grosfeld)

Flux-induced persistent motion of solitons in topological Josephson
junctions    [PDF]

Eytan Grosfeld

We propose a Hamiltonian describing the collective motion of a phase soliton (Josephson vortex) within a Josephson junction separating two topological superconductors. Using the Hamiltonian we derive the equations of motion for the soliton trapped in an annular Josephson junction. We find a universal phase accumulated by the soliton when it encircles the junction, that depends on the parity of the number of vortices enclosed by the junction. We demonstrate that the presence of this phase can be measured through its effect on the junction's resistance.

View original: http://arxiv.org/abs/1301.0538