Superfluid and supersolid phases of lattice bosons with ring-exchange interaction
arXiv:0811.1224 · doi:10.1103/PhysRevB.80.014503
Abstract
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.
7 pages, 5 figures
References in corpus (6)
- "Deconfined" quantum critical points
- Atomic quantum simulator for lattice gauge theories and ring exchange models
- D-wave correlated Critical Bose Liquids in two dimensions
- Strong-Coupling Phases of Frustrated Bosons on a 2-leg Ladder with Ring Exchange
- Two-Dimensional Quantum XY Model with Ring Exchange and External Field
- Ring Exchange and Phase Separation in the Two-dimensional Boson Hubbard model
Cited by in corpus (7)
- Bose Metals and Insulators on Multi-Leg Ladders with Ring Exchange
- Semiclassical approach to ground-state properties of hard-core bosons in two dimensions
- Chiral phases of two-dimensional hard-core bosons with frustrated ring-exchange
- Spin Wave Theory of Spin 1/2 XY Model with Ring Exchange on a Triangular Lattice
- Anomalous relaxation of density waves in a ring-exchange system
- The Bose-Hubbard model on a triangular lattice with diamond ring-exchange
- Berezinskii-Kosterlitz-Thouless Renormalization Group Flow at a Quantum Phase Transition