Phys. Rev. Lett. 103, 107001 (2009) [4 pages]Splitting of Majorana-Fermion Modes due to Intervortex Tunneling in a px+ipy SuperconductorReceived 7 May 2009; revised 6 August 2009; published 31 August 2009 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. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.103.107001
DOI:
10.1103/PhysRevLett.103.107001
PACS:
74.20.Rp, 03.67.Pp, 71.10.Pm, 74.90.+n
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