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- W2017720159 abstract "We study a rapidly rotating gas of unpolarized spin-1/2 ultracold fermions in the two-dimensional regime when all atoms reside in the lowest Landau level. Due to the presence of the spin degree of freedom both $s$-wave and $p$-wave interactions are allowed at ultralow temperatures. We investigate the phase diagram of this system as a function of the filling factor in the lowest Landau level and in terms of the ratio between $s$- and $p$-wave interaction strengths. We show that the presence of attractive interactions induces a wide regime of phase separation with formation of maximally compact droplets that are either fully polarized or composed of spin-singlets. In the regime with no phase separation, we give evidence for fractional quantum Hall states. Most notably, we find two distinct singlet states at the filling $ensuremath{nu}=2/3$ for different interactions. One of these states is accounted for by the composite fermion theory, while the other one is a paired state for which we identify two competing descriptions with different topological structures. This paired state may be an Abelian liquid of composite spin-singlet Bose molecules with Laughlin correlations. Alternatively, it may be a known non-Abelian paired state, indicated by good overlaps with the corresponding trial wave function. By fine tuning of the scattering lengths it is possible to create the non-Abelian critical Haldane-Rezayi state for $ensuremath{nu}=1/2$ and the permanent state of Moore and Read for $ensuremath{nu}=1$. For purely repulsive interactions, we also find evidence for a gapped Halperin state at $ensuremath{nu}=2/5$." @default.
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- W2017720159 date "2009-03-11" @default.
- W2017720159 modified "2023-10-18" @default.
- W2017720159 title "Pairing in ultracold Fermi gases in the lowest Landau level" @default.
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- W2017720159 doi "https://doi.org/10.1103/physreva.79.033609" @default.
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