Non-Abelian Majorana fermions in topological s-wave Fermi superfluids

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 expo...

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Veröffentlicht in:	New journal of physics 2019-11, Vol.21 (11), p.113033
1. Verfasser:	Toikka, L A
Format:	Artikel
Sprache:	eng
Schlagworte:	Fermi superfluid Fermions Fluids Majorana fermions Physics Spin-orbit interactions Splitting Superfluidity topological quantum computation topological superfluidity Vortices
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description	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.
doi_str_mv	10.1088/1367-2630/ab5336
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subjects	Fermi superfluid Fermions Fluids Majorana fermions Physics Spin-orbit interactions Splitting Superfluidity topological quantum computation topological superfluidity Vortices
title	Non-Abelian Majorana fermions in topological s-wave Fermi superfluids
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