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Manipulating the topological spin of Majoranas

2025/05/09 by Stijn R. de Wit, de Wit, Stijn R., A. Mert Bozkurt +6 · 1 citation
Physics and Astronomy · Materials Science · #Topological Materials and Phenomena #Chemical and Physical Properties of Materials #Quantum and electron transport phenomena

paper · pdf · doi:10.48550/arxiv.2505.06334

Abstract

The non-Abelian exchange statistics of Majorana zero modes make them interesting for both technological applications and fundamental research. Unlike their non-Abelian counterpart, the Abelian contribution, e, where θ is directly related to the Majorana's topological spin, is often neglected. However, the Abelian exchange phase and hence the topological spin can differ from system to system. For vortices in topological superconductors, the Abelian exchange phase is interpreted as an Aharonov-Casher phase arising from a vortex encircling a e/4 charge. In this work, we show how this fractional charge, and hence the topological spin, can be manipulated through the control of device geometry, introducing an additional control knob for topological quantum computing. To probe this effect, we propose a vortex interference experiment that reveals the presence of this fractional charge through shifts in the critical current.

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