Abstract
We consider spinor Bose gas with the isotropic Rashba spin-orbit coupling in two dimensions. We argue that at low density, its ground state is a composite fermion state with a Chern-Simons gauge field and filling factor of one. The chemical potential of such a state scales with the density as $\ensuremath{\mu}\ensuremath{\propto}{n}^{3/2}$. This is a lower energy per particle than $\ensuremath{\mu}\ensuremath{\propto}n$ for the earlier suggested ground-state candidates: a condensate with broken time-reversal symmetry and a spin-density wave state.
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