Phase diagram of the fully frustrated transverse-field Ising model on the honeycomb lattice

Abstract

Motivated by the current interest in the quantum dimer model on the triangular lattice, we investigate the phase diagram of the closely related fully-frustrated transverse field Ising model on the honeycomb lattice using classical and semi-classical approximations. We show that, in addition to the fully polarized phase at large field, the classical model possesses a multitude of phases that break the translational symmetry which in the dimer language, correspond to a plaquette phase and a columnar phase separated by an infinite cascade of mixed phases. The modification of the phase diagram by quantum fluctuations has been investigated in the context of linear spin-wave theory. The extrapolation of the semiclassical energies suggests that the plaquette phase extends down to zero field for spin 1/2, in agreement with the $\sqrt{12}\times \sqrt{12}$ phase of the quantum dimer model on the triangular lattice with only kinetic energy.

15 Pages, 11 Figures, Accepted for PRB

References in corpus (8)

• Zero-Temperature Properties of the Quantum Dimer Model on the Triangular Lattice
• Quantum Dimer Model on the triangular lattice: Semiclassical and variational approaches to vison dispersion and condensation
• Dynamics of the quantum dimer model on the triangular lattice: Soft modes and local resonating valence-bond correlations
• Order by disorder and gauge-like degeneracy in quantum pyrochlore antiferromagnet
• Crystallization of the resonating valence bond liquid as vortex condensation
• Fluctuations and vortex pattern ordering in fully frustrated XY model with honeycomb lattice
• Fluctuation induced vortex pattern and its disordering in the fully frustrated XY model on a dice lattice
• Uniformly frustrated XY model without vortex-pattern ordering

Cited by in corpus (11)

• Incomplete devil's staircase in the magnetization curve of SrCu2(BO3)2
• Quantum many-body scars in transverse field Ising ladders and beyond
• Topological phase transition and single/multi anyon dynamics of $Z_2$ spin liquid
• Evidence of columnar order in the fully frustrated transverse field Ising model on the square lattice
• Spin-wave analysis of the transverse-field Ising model on the checkerboard lattice
• Selection of factorizable ground state in a frustrated spin tube: Order by disorder and hidden ferromagnetism
• Semiclassical evidence of columnar order in the fully frustrated transverse field Ising model on the square lattice
• Magnetic properties of a spin-orbit entangled Jeff = 1/2 honeycomb lattice
• Finite-temperature phase transitions in the quantum fully frustrated Ising models
• Sign-problem-free effective models of triangular lattice quantum antiferromagnets
• Continuous interpolation between the fully frustrated Ising and quantum dimer models