2000 character limit reached
Non-Abelian Majorana fermions in topological $s$-wave Fermi superfluids (1903.09131v3)
Published 21 Mar 2019 in cond-mat.quant-gas and cond-mat.mes-hall
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 $s$-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 $s$-wave Majorana vortices obey non-Abelian statistics.