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Josephson diode effect from nonequilibrium current in a superconducting interferometer

Daniel Shaffer1,*, Songci Li2,*, Jaglul Hasan1, Mikhail Titov3, and Alex Levchenko1

  • 1Department of Physics, University of Wisconsin-Madison, Madison, Wisconsin 53706, USA
  • 2Center for Joint Quantum Studies, Department of Physics and Tianjin Key Laboratory of Low-Dimensional Materials Physics and Preparation Technology, Tianjin University, Tianjin 300354, China
  • 3Institute for Molecules and Materials, Radboud University, Heyendaalseweg 135, 6525 AJ Nijmegen, The Netherlands

  • *These authors contributed equally to this work.

Phys. Rev. B 112, 094509 – Published 11 September, 2025

DOI: https://doi.org/10.1103/n9y8-31gc

Abstract

We investigate the Josephson diode effect in a superconducting interferometer under nonequilibrium conditions. In contrast to its thermodynamic counterpart, which requires the simultaneous breaking of time-reversal and inversion symmetry, we demonstrate that a diodelike asymmetry of the critical current can emerge solely due to a dissipative current in the normal region of an otherwise symmetric Josephson junction. This effect is driven entirely by the nonequilibrium conditions, without the need for additional inversion symmetry breaking. Using the standard quasiclassical Keldysh Green's function formalism, we explicitly calculate the diode coefficient from the supercurrent-phase relation of the interferometer. Remarkably, within certain ranges of control parameters, such as applied voltage, temperature, and the geometric aspect ratio of the device, the diode coefficient can exceed its nominal perfect value.

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