Splitting of Majorana-fermion modes due to intervortex tunneling in a px+ipy superconductor

Meng Cheng, Roman M. Lutchyn, Victor Galitski, S Das Sarma

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We consider a two-dimensional (px+ipy) superconductor in the presence of multiple vortices, which support zero-energy Majorana-fermion states in their cores. Intervortex tunnelings of the Majorana fermions lift the topological state degeneracy. Using the Bogoliubov-de Gennes equation, we calculate splitting of the zero-energy modes due to these tunneling events. We also discuss superconducting fluctuations and, in particular, their effect on the energy splitting.

Original languageEnglish
Article number107001
JournalPhysical Review Letters
Issue number10
Publication statusPublished - 31 Aug 2009
Externally publishedYes

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