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

Medic, Luka (author), Ramšak, Anton (author), Rejec, Tomaž (author)

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.

• Language: English
• Keywords: Andreev bound states, Josephson effect, mesoscopics, topological phases of matter, S-matrix method in transport
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Year: 2025
• Number of pages: Str. 245424-1-245424-6
• Numbering: Vol. 112, iss. 24
• PID: 20.500.12556/RUL-177729
• UDC: 538.9
• ISSN on article: 2469-9950
• DOI: 10.1103/mqt7-qzwc
• COBISS.SI-ID: 263440899
• Publication date in RUL: 05.01.2026

Record is a part of a journal

• Title: Physical review
• Publisher: American Physical Society
• ISSN: 2469-9950
• COBISS.SI-ID: 2997348

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

• Language: Slovenian
• Keywords: vezana stanja Andreeva, Josephsonov pojav, topološe faze snovi

Projects

• Funder: ARIS - Slovenian Research and Innovation Agency
• Project number: P1-0044
• Name: Teorija trdnih snovi in statistična fizika

• Funder: Other - Other funder or multiple funders
• Funding programme: Univerza v Ljubljani
• Project number: SN-ZRD/22-27/0510
• Name: Kvantne tehnologije za transport in komunikacije v 21. stoletju
• Acronym: KTTK21