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We study the superfluid and insulating phases of interacting bosons on the triangular lattice with an inverted dispersion, corresponding to frustrated hopping between sites.
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On the triangular lattice, breaking 𝒫 \mathcal{P} and C 6 C_{6} are equivalent
Cited in the paper.
For V > U V>U , other phases such as charge-density waves and supersolids may arise; as this regime is unlikely to be experimentally relevant, we will be silent on these
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“Supplementary material,”
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This notation makes the gradient expansion particularly simple
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