Physics – Condensed Matter – Superconductivity
Scientific paper
2010-12-11
Proc Natl Acad Sci U S A. 2011 Jul 19;108(29):11810-4
Physics
Condensed Matter
Superconductivity
10 pages, 3 figures, published version (title modified)
Scientific paper
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 non-conventional 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 long 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.
Grosfeld Eytan
Stern Ady
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