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Minimal model of an artificial topological material realized in a two-terminal Josephson junction threaded by Aharonov-Casher fluxes

Luka Medic*, Anton Ramšak, and Tomaž Rejec

  • *Contact author: l.medic@windowslive.com
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Phys. Rev. B 112, 245424 – Published 23 December, 2025

DOI: https://doi.org/10.1103/mqt7-qzwc

Abstract

We investigate a minimal model of a two-terminal Josephson junction with conventional superconducting (SC) leads and a pair of interconnected quantum dots in the presence of two Aharonov-Casher (AC) fluxes. The Andreev bound-state spectrum features Weyl nodes within a three-dimensional synthetic Brillouin zone defined in the space of these AC fluxes and the SC phase difference. The aim is to determine the location and topological charge of these nodes by probing the Berry curvature on closed surfaces that may enclose them. This is achieved by adiabatically varying the superconducting phase difference and AC fluxes along a path on these surfaces and measuring the associated currents. We define the kinematic curvature as the cross product of a tangent vector along the path and the vector of these currents. In the adiabatic regime, the path-averaged kinematic curvature provides a quantized response equal to the topological charge enclosed by the surface, provided the path uniformly and densely covers it.

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Phys. Rev. B 112, 245424– Published 23 December, 2025
  • Received 13 December 2024
  • Revised 25 February 2025
  • Accepted 7 November 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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