Continuous interpolation between the fully frustrated Ising and quantum dimer models
arXiv:1102.1912 · doi:10.1103/PhysRevB.83.235129
Abstract
We propose a new quantum model interpolating between the fully frustrated spin-1/2 Ising model in a transverse field and a dimer model. This model contains a resonating-valence-bond phase, including a line with an exactly solvable ground state of the Rokhsar-Kivelson type. We discuss the phase diagrams of this model on the square and triangular (in terms of the dimer representation) lattices.
9 pages, 7 figures
References in corpus (9)
- Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
- Quantum magnetism in the paratacamite family: towards an ideal kagome lattice
- On Ising and dimer models in two and three dimensions
- Generalized Hardcore Dimer Models approach to low-energy Heisenberg frustrated antiferromagnets: general properties and application to the kagome antiferromagnet
- 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
- Crystallization of the resonating valence bond liquid as vortex condensation
- Dynamical dimer correlations at bipartite and non-bipartite Rokhsar-Kivelson points
- Vison excitations in near-critical quantum dimer models