Non-Abelian Majorana fermions in topological -wave Fermi superfluids
arXiv:1903.09131 · doi:10.1088/1367-2630/ab5336
Abstract
By solving the Bogoliubov--De Gennes equations analytically, we derive the fermionic zero-modes satisfying the Majorana property that exist in vortices of a two-dimensional -wave Fermi superfluid with spin-orbit coupling and Zeeman spin-splitting. The Majorana zero-mode becomes normalisable and exponentially localised to the vicinity of the vortex core when the superfluid is topologically non-trivial. We calculate the energy splitting due to Majorana hybridisation and identify that the -wave Majorana vortices obey non-Abelian statistics.
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