Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Reconstruction-Induced $\varphi_0$ Josephson Effect in Quantum Spin Hall Constrictions

Version 1 : Received: 5 April 2023 / Approved: 6 April 2023 / Online: 6 April 2023 (13:35:08 CEST)

How to cite: Vigliotti, L.; Cavaliere, F.; Passetti, G.; Sassetti, M.; Traverso Ziani, N. Reconstruction-Induced $\varphi_0$ Josephson Effect in Quantum Spin Hall Constrictions. Preprints 2023, 2023040099. https://doi.org/10.20944/preprints202304.0099.v1 Vigliotti, L.; Cavaliere, F.; Passetti, G.; Sassetti, M.; Traverso Ziani, N. Reconstruction-Induced $\varphi_0$ Josephson Effect in Quantum Spin Hall Constrictions. Preprints 2023, 2023040099. https://doi.org/10.20944/preprints202304.0099.v1

Abstract

The simultaneous breaking of time-reversal and inversion symmetry, in connection to superconductivity, leads to transport properties with disrupting scientific and technological potential. Indeed, the anomalous Josephson effect and the superconducting diode effect hold promises to enlarge the technological applications of superconductors and nanostructures in general. In this context, the system we theoretically analyze is a Josephson junction (JJ) with coupled reconstructed topological channels as a link; such channels are at the edges of a two-dimensional topological insulator (2DTI). We find a robust $\varphi_0$ Josephson effect without requiring the presence of external magnetic fields. Our results, which rely on a fully analytical analysis, are substantiated by means of symmetry arguments: Our system breaks both time-reversal symmetry and inversion symmetry. Moreover, the anomalous current increases as a function of temperature. We interpret this surprising temperature dependence by means of simple qualitative arguments based on Fermi's golden rule.

Keywords

Josephson junctions; Topological insulators; Symmetry breaking; φ0 effect

Subject

Physical Sciences, Condensed Matter Physics

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