{ "id": "2102.05686", "version": "v1", "published": "2021-02-10T19:01:04.000Z", "updated": "2021-02-10T19:01:04.000Z", "title": "Quantum-critical dynamics of a Josephson junction at the topological transition", "authors": [ "Vladislav D. Kurilovich", "Chaitanya Murthy", "Pavel D. Kurilovich", "Bernard van Heck", "Leonid I. Glazman", "Chetan Nayak" ], "comment": "27 pages, 7 figures", "categories": [ "cond-mat.mes-hall", "cond-mat.supr-con" ], "abstract": "We find the admittance $Y(\\omega)$ 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: $\\mathrm{Re}\\,Y(\\omega)\\propto \\max (\\omega, T)^2$. 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.", "revisions": [ { "version": "v1", "updated": "2021-02-10T19:01:04.000Z" } ], "analyses": { "keywords": [ "josephson junction", "topological transition", "quantum-critical dynamics", "admittance", "critical point" ], "note": { "typesetting": "TeX", "pages": 27, "language": "en", "license": "arXiv", "status": "editable" } } }