Triplet character of 2D-fermion dimers arising from s-wave attraction via spin-orbit coupling and Zeeman splitting
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Date
2022-05-19
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SciPost Foundation
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(c) 2023 The Author/s
CC BY 4.0
CC BY 4.0
Abstract
We theoretically study spin-1=2 fermions confined to two spatial dimensions and experiencing isotropic short-range attraction in the presence of both spin-orbit coupling and Zeeman spin splitting - a prototypical system for developing topological superfluidity in the many-body sector. Exact solutions for two-particle bound states are found to have a triplet contribution that dominates over the singlet part in an extended region of parameter space where the combined Zeeman- and center-of-mass-motion-induced spin-splitting energy is large. The triplet character of dimers is purest in the regime of weak s-wave interaction strength. Center-of-mass momentum is one of the parameters determining the existence of bound states, which we map out for both two- and onedimensional types of spin-orbit coupling. Distinctive features emerging in the orbital part of the bound-state wave function, including but not limited to its p-wave character, provide observable signatures of unconventional pairing.
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Ebling U, Zulicke U, Brand J. (2022). Triplet character of 2D-fermion dimers arising from s-wave attraction via spin-orbit coupling and Zeeman splitting. SciPost Physics. 12. 5.