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Weak first-order superfluid--solid quantum phase transitions

Anatoly Kuklov·Nikolay Prokof'ev·Boris Svistunov
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Abstract

We study superfluid--solid zero-temperature transitions in two-dimensional lattice boson/spin models by Worm-Algorithm Monte Carlo simulations. We observe that such transitions are typically first-order with the exception of special high-symmetry points which require fine tuning in the Hamiltonian parameter space. We present evidence that the superfluid--checkerboard solid and superfluid--valence-bond solid transitions at half-integer filling factor are extremely weak first-order transitions and in small systems they may be confused with continuous or high-symmetry points.

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Anatoly Kuklov, Nikolay Prokof'ev, Boris Svistunov. 2004-06-02. Weak first-order superfluid--solid quantum phase transitions. https://doi.org/10.1103/physrevlett.93.230402

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