Journal
PHYSICAL REVIEW A
Volume 86, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.86.042707
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Funding
- NCET Program
- National Natural Science Foundation of China [11074305, 10904172]
- NKBRSF of China [2012CB922104]
- Fundamental Research Funds for the Central Universities
- Research Funds of Renmin University of China [10XNL016]
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We investigate the low-energy scattering and bound states of two two-component fermionic atoms in pure two-dimensional (2D) and quasi-2D confinements with Rashba spin-orbit coupling (SOC). We find that the SOC qualitatively changes the behavior of the 2D scattering amplitude in the low-energy limit. For quasi-2D systems we obtain the analytic expression for the effective 2D scattering amplitude and the algebraic equations for the two-atom bound-state energy. We further derive the effective 2D contact potential for the interaction between ultracold atoms in the quasi-2D confinement. This effective potential can be used in the research on many-body physics of quasi-2D ultracold Fermi gases with Rashba SOC.
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