Superfluid and supersolid phases of lattice bosons with ring-exchange interaction

Details Superfluid and supersolid phases of lattice bosons with ring-exchange interaction Superfluid and supersolid phases of lattice bosons with ring-exchange interaction

2008-11-07

arxiv.org/abs/0811.1224v1

Phys. Rev. B 80, 014503 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 5 figures

Scientific paper

10.1103/PhysRevB.80.014503

We examine the superfluid phase of a hard-core boson model with nearest-neighbor exchange J and four-particle ring-exchange K at half-filling on the square lattice. At zero temperature we find that the superfluid in the pure-J model is quickly destroyed by the inclusion of negative-K ring-exchange interactions, favoring a state with a (pi,pi) ordering wavevector. Minimization of the mean-field energy suggests that a supersolid state with coexisting superfluidity, charge-density wave, and valence-bond-like order is formed. We also study the behavior of the finite-T Kosterlitz-Thouless phase transition in the superfluid phase, by forcing the Nelson-Kosterlitz universal jump condition on the finite-T spin wave superfluid density. Away from the pure J point, T_{KT} decreases rapidly for negative K, while for positive K, T_{KT} reaches a maximum at some K \neq 0 in agreement with recent quantum Monte Carlo simulations.

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