Weak First-Order Superfluid-Solid Quantum Phase Transitions

Anatoly Kuklov, Nikolay Prokof'ev, Boris Svistunov
2004 Physical Review Letters  
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
more » ... rder transitions and in small systems they may be confused with continuous or high-symmetry points.
doi:10.1103/physrevlett.93.230402 pmid:15601129 fatcat:4hy2hixx25ehjir3xos5ls2m7e