Splitting of Majorana-fermion modes due to intervortex tunneling in a p(x) + ip(y) superconductor

Phys Rev Lett. 2009 Sep 4;103(10):107001. doi: 10.1103/PhysRevLett.103.107001. Epub 2009 Aug 31.


We consider a two-dimensional (p(x) + ip(y)) 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.