Splitting of Majorana modes due to intervortex tunneling in a p + ip superconductor

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

doi:10.1103/physrevlett.103.107001

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arXiv · 0905.0035

Splitting of Majorana modes due to intervortex tunneling in a p + ip superconductor

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

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Abstract

We consider a two-dimensional px+i py 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.

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Meng Cheng, Roman M. Lutchyn, Victor Galitski, S. Das Sarma. 2009-08-12. Splitting of Majorana modes due to intervortex tunneling in a p + ip superconductor. https://doi.org/10.1103/physrevlett.103.107001

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