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Proposed Aharonov-Casher interference measurement of non-Abelian vortices in chiralp-wave superconductors

2010/04/30 by Eytan Grosfeld, Babak Seradjeh, Smitha Vishveshwara · 3 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.mes-hall #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.83.104513

published as Phys. Rev. B 83, 104513 (2011) · 4 pages, 1 figure

arxiv created 2010/11/16 · openalex publication_date 2011/03/21 · arxiv updated 2011/08/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We propose a two-path vortex interferometry experiment based on the Aharonov-Casher effect for detecting the non-Abelian nature of vortices in a chiral P-wave superconductor. The effect is based on observing vortex interference patterns upon enclosing a finite charge of externally controllable magnitude within the interference path. We predict that when the interfering vortices enclose an odd number of identical vortices in their path, the interference pattern disappears only for non-Abelian vortices. When pairing involves two distinct spin species, we derive the mutual statistics between half quantum and full quantum vortices and show that, remarkably, our predictions still hold for the situation of a full quantum vortex enclosing a half quantum vortex in its path. We discuss the experimentally relevant conditions under which these effects can be observed.

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