Disorder and Microwave Signatures of Topological Transitions in Planar Josephson Junctions

We analytically and numerically investigate the effect of disorder on topological transitions in planar Josephson junctions as the Zeeman field, spin-orbit coupling strength and chemical potential is varied [1-3]. We find that the topological properties of these systems depend sensitively on the disorder and demonstrate reentrant behavior of topological phases [4]. We also consider microwave detection of topological transitions in planar Josephson junctions where the Josephson junction is inductively coupled to microwave circuit QED detector and observe the effect of the transitions in the microwave signature of planar Josephson junctions.

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