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Regensburg 2022 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 1: Topology: Majorana Physics

TT 1.6: Talk

Monday, September 5, 2022, 11:00–11:15, H10

Fraunhofer pattern in the presence of Majorana modes — •Fernando Dominguez1, Elena G. Novik2, and Patrik Recher1,31Institute for Mathematical Physics, TU Braunschweig, 38106 Braunschweig, Germany — 2Institute of Theoretical Physics, Technische Universität Dresden, 01062 Dresden, Germany — 3Laboratory for Emerging Nanometrology, 38106 Braunschweig, Germany

We investigate signatures of the presence of Majorana bound states that can arise in the Fraunhofer pattern of Josephson junctions made of Top.Sc/Qu.Spin Hall /Top.Sc. In this setup,the presence of Majorana bound states at the NS interfaces introduces electron-hole reflections with parallel spin, which due to spin-momentum locking, are forced to take place between opposite edges. In contrast to local electron-hole reflections (with opposite spin), the presence of such non-local processes do not accumulate a geometrical phase and therefore, they can change drastically or partially the periodicity of the Fraunhofer pattern. In order to observe such a change in the Fraunhofer pattern, the quantum spin-Hall edges have to be coupled either directly or through the bulk. Here, we propose two different scenarios where this can occur and provide numerical results from a scattering and tight-binding models.

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