Freiburg 2019 – scientific programme

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FM: Fall Meeting

FM 19: Topology: Majoranas

FM 19.2: Talk

Monday, September 23, 2019, 17:00–17:15, 1199

Non-Abelian Majorana fermions in topological s-wave Fermi superfluids — •Lauri Toikka — University of Innsbruck, Austria

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.