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Absence of the twisted superfluid state in a mean-field model of bosons on a honeycomb lattice

Absence of the twisted superfluid state in a mean-field model of bosons on a honeycomb lattice

Motivated by recent observations [Soltan-Panahi et al., Nat. Phys. 8, 71 (2012)], we study the stability of a Bose-Einstein condensate within a spin-dependent honeycomb lattice towards forming a ``twisted superfluid'' state. Our exhaustive numerical search fails to find this phase, pointing to possible non-mean-field physics.