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Quantum critical dynamics of a Josephson junction at the topological transition

Vladislav D. Kurilovich, Chaitanya Murthy, Pavel D. Kurilovich, Bernard van Heck, Leonid I. Glazman, Chetan Nayak

DOI 10.1103/PhysRevB.104.014509 · Physical Review B

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Abstract

We find the admittance Y(ω) 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: ReY(ω)∝max(ω,T)2. 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.

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