XY ring-exchange model on the triangular lattice

Abstract

We study ring-exchange models for bosons or XY-spins on the triangular lattice. A four-spin exchange leads to a manifold of ground states with gapless excitations and critical power-law correlations. With a nearest-neighbour exchange, fluctuations select a four-fold ferrimagnetically ordered ground state with a small spin/superfluid stiffness which breaks the global U(1) and translational symmetry. We explore consequences for phase transitions at finite temperature and in an in-plane magnetic field.

9 pgs (RevTeX), 4 figs

References in corpus (3)

• Fractionalization in an Easy-axis Kagome Antiferromagnet
• Ring exchange, the Bose metal, and bosonization in two dimensions
• Multiparticle ring exchange in the Wigner glass and its possible relevance to strongly interacting two-dimensional electron systems in the presence of disorder

Cited by in corpus (16)

• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Scalar spin chirality and quantum Hall effect on a triangular lattice
• Discrete Sliding Symmetries, Dualities, and Self-dualities of Quantum Orbital Compass Models and (p+ip) Superconducting Arrays
• Two-Dimensional Quantum XY Model with Ring Exchange and External Field
• Stochastic series expansion algorithm for the S=1/2 XY model with four-site ring exchange
• Spin liquid phase in the semiclassical theory of the Heisenberg model on an anisotropic triangular lattice with ring exchange
• Spin liquid phase due to competing classical orders in the semiclassical theory of the Heisenberg model with ring exchange on an anisotropic triangular lattice
• A candidate Theory for the "Strange Metal" phase at Finite Energy Window
• Bose-Hubbard realization of fracton defects
• Mott transition and magnetism on the anisotropic triangular lattice
• Fermionization Transform for Certain Higher-Dimensional Quantum Spin Models
• Fractional Quantum Hall Effect and Featureless Mott Insulators
• Superfluid and supersolid phases of lattice bosons with ring-exchange interaction
• Continuous thermal melting of a two-dimensional Abrikosov vortex solid
• Spin Wave Theory of Spin 1/2 XY Model with Ring Exchange on a Triangular Lattice
• XY ring exchange model with frustrated Ising coupling on the triangular lattice