Accurate projective two-band description of topological superfluidity in spin-orbit-coupled Fermi gases

Brand, Joachim; Toikka, Lauri; Zuelicke, Ulrich

doi:10.21468/SciPostPhys.5.2.016

SciPost Physics

Accurate projective two-band description of topological superfluidity in spin-orbit-coupled Fermi gases

Joachim Brand, Lauri A. Toikka, Ulrich Zuelicke

SciPost Phys. 5, 016 (2018) · published 15 August 2018

doi: 10.21468/SciPostPhys.5.2.016
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Submissions/Reports

Abstract

The interplay of spin-orbit coupling and Zeeman splitting in ultracold Fermi gases gives rise to a topological superfluid phase in two spatial dimensions that can host exotic Majorana excitations. Theoretical models have so far been based on a four-band Bogoliubov-de Gennes formalism for the combined spin-1/2 and particle-hole degrees of freedom. Here we present a simpler, yet accurate, two-band description based on a well-controlled projection technique that provides a new platform for exploring analogies with chiral p-wave superfluidity and detailed future studies of spatially non-uniform situations.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.5.2.016
TI  - Accurate projective two-band description of topological superfluidity in spin-orbit-coupled Fermi gases
PY  - 2018/08/15
UR  - https://scipost.org/SciPostPhys.5.2.016
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 5
IS  - 2
SP  - 016
A1  - Brand, Joachim
AU  - Toikka, Lauri
AU  - Zuelicke, Ulrich
AB  - The interplay of spin-orbit coupling and Zeeman splitting in ultracold Fermi gases gives rise to a topological superfluid phase in two spatial dimensions that can host exotic Majorana excitations. Theoretical models have so far been based on a four-band Bogoliubov-de Gennes formalism for the combined spin-1/2 and particle-hole degrees of freedom. Here we present a simpler, yet accurate, two-band description based on a well-controlled projection technique that provides a new platform for exploring analogies with chiral p-wave superfluidity and detailed future studies of spatially non-uniform situations.
ER  -

@Article{10.21468/SciPostPhys.5.2.016,
	title={{Accurate projective two-band description of topological superfluidity in spin-orbit-coupled Fermi gases}},
	author={Joachim Brand and Lauri A. Toikka and Ulrich Zuelicke},
	journal={SciPost Phys.},
	volume={5},
	pages={016},
	year={2018},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.5.2.016},
	url={https://scipost.org/10.21468/SciPostPhys.5.2.016},
}

Cited by 6

Ontology / Topics

See full Ontology or Topics database.

Bogoliubov-de Gennes equations Chiral p-wave superfluidity Fermi gases Majorana fermions Spin-orbit coupling Superfluidity Topological superfluidity Ultracold atoms Zeeman effect

Authors / Affiliations: mappings to Contributors and Organizations

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¹ ² Joachim Brand,
¹ ² ³ Lauri Toikka,
¹ ⁴ Ulrich Zuelicke

Funder for the research work leading to this publication

Marsden Fund (through Organization: Royal Society Te Apārangi / Royal Society of New Zealand)