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Bound states of two spin-1/2 fermions in a synthetic non-Abelian gauge field

Vyasanakere, Jayantha P and Shenoy, Vijay B (2011) Bound states of two spin-1/2 fermions in a synthetic non-Abelian gauge field. In: Physical Review B: Condensed Matter and Materials Physics, 83 (9).

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Official URL: http://prb.aps.org/abstract/PRB/v83/i9/e094515


We study the bound states of two spin-1/2 fermions interacting via a contact attraction (characterized by a scattering length) in the singlet channel in three-dimensional space in presence of a uniform non-Abelian gauge field. The configuration of the gauge field that generates a Rashba-type spin-orbit interaction is described by three coupling parameters (lambda(x),lambda(y),lambda(z)). For a generic gauge field configuration, the critical scattering length required for the formation of a bound state is negative, i.e., shifts to the ``BCS side'' of the resonance. Interestingly, we find that there are special high-symmetry configurations (e.g., lambda(x) = lambda(y) = lambda(z)) for which there is a two-body bound state for any scattering length however small and negative. Remarkably, the bound-state wave functions obtained for such configurations have nematic spin structure similar to those found in liquid He-3. Our results show that the BCS-BEC (Bose-Einstein condensation) crossover is drastically affected by the presence of a non-Abelian gauge field. We discuss possible experimental signatures of our findings both at high and low temperatures.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to The American Physical Society.
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Depositing User: Id for Latest eprints
Date Deposited: 30 Mar 2011 08:25
Last Modified: 30 Mar 2011 08:25
URI: http://eprints.iisc.ac.in/id/eprint/36338

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