Levinsen, J; Parish, MM; (2013) Bound states in a quasi-two-dimensional fermi gas. Physical Review Letters , 110 (5) , Article e055304. 10.1103/PhysRevLett.110.055304.

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Abstract

We consider the problem of N identical fermions of mass m↑ and one distinguishable particle of mass m↓ interacting via short-range interactions in a confined quasi-two-dimensional (quasi-2D) geometry. For N=2 and mass ratios m↑/m↓<13.6, we find non-Efimov trimers that smoothly evolve from 2D to 3D. In the limit of strong 2D confinement, we show that the energy of the N+1 system can be approximated by an effective two-channel model. We use this approximation to solve the 3+1 problem and we find that a bound tetramer can exist for mass ratios m↑/m↓ as low as 5 for strong confinement, thus providing the first example of a universal, non-Efimov tetramer involving three identical fermions.

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