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Condensed Matter and Statistical Physics Journal Club

Talk Details

Title	Non-Abelian Statistics of Half-Quantum Vortices in p-Wave Superconductors
Speaker	Kusum Dhochak
Date	Mon, 31 May 2010
Time	14:30
Venue	A 304

Abstract

Excitation spectrum of a half-quantum vortex in a p-wave superconductor contains a zero-energy Majorana fermion. This results in a degeneracy of the ground state of the system of several vortices. From the properties of the solutions to Bogoliubov–de Gennes equations in the vortex core we derive the non-Abelian statistics of vortices identical to that for the Moore-Read (Pfaffian) quantum Hall state.

Reference: D A Ivanov, Phys Rev Lett 86, 268 (2001)

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