Observing Majorana bound states of Josephson vortices in topological superconductors

Eytan Grosfeld, Ady Stern

Research output: Contribution to journalArticlepeer-review

69 Scopus citations

Abstract

In recent years there has been an intensive search for Majorana fermion states in condensed matter systems. Predicted to be localized on cores of vortices in certain nonconventional superconductors, their presence is known to render the exchange statistics of bulk vortices non-Abelian. Here we study the equations governing the dynamics of phase solitons (fluxons) in a Josephson junction in a topological superconductor. We show that the fluxon will bind a localized zero energy Majorana mode and will consequently behave as a non-Abelian anyon. The low mass of the fluxon, as well as its experimentally observed quantum mechanical wave-like nature, will make it a suitable candidate for vortex interferometry experiments demonstrating non-Abelian statistics. We suggest two experiments that may reveal the presence of the zero mode carried by the fluxon. Specific experimental realizations will be discussed as well.

Original languageEnglish
Pages (from-to)11810-11814
Number of pages5
JournalProceedings of the National Academy of Sciences of the United States of America
Volume108
Issue number29
DOIs
StatePublished - 19 Jul 2011
Externally publishedYes

Keywords

  • Fluxons
  • Josephson effect
  • Majorana mode
  • P-wave
  • Sine-Gordon

ASJC Scopus subject areas

  • General

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