Quantum critical dynamics of a Josephson junction at the topological transition
Vladislav D. Kurilovich (Yale University)
Chaitanya Murthy (Stanford University)
Pavel D. Kurilovich (Yale University)
Bernard van Heck (Microsoft Quantum Lab Delft, University of California, TU Delft - BUS/Quantum Delft)
Leonid I. Glazman (Yale University)
Chetan Nayak (University of California)
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Abstract
We find the admittance of a Josephson junction at or near a topological transition. The dependence of the admittance on frequency and temperature at the critical point is universal and determined by the symmetries of the system. Despite the absence of a spectral gap at the transition, the dissipative response may remain weak at low energies: . This behavior is strikingly different from the electromagnetic response of a normal metal. Away from the critical point, the scaling functions for the dependence of the admittance on frequency and temperature are controlled by at most two parameters.