Magnetic field-induced transition in a quantum magnet described by the Quantum Dimer Model
arXiv:0806.3486 · doi:10.1103/PhysRevLett.101.117204
Abstract
The effect of a magnetic field on a gapped quantum magnet is described within the framework of the Quantum Dimer Model. A minimal model describing the proliferation of itinerant spinons above a critical field is proposed and investigated by Lanczos exact diagonalizations and quantum Monte Carlo simulations. For both square and triangular lattices, it is shown that spinons are fully polarized and Bose-condense. This offers a novel scenario of a Quantum Critical Point in the dimer-liquid phase (triangular lattice) characterized by the continuous appearance of a spinon superfluid density, contrasting with the usual triplet condensation picture. The possible role of other spinon kinetic terms neglected in the model are discussed.
References in corpus (16)
- An RVB phase in the triangular lattice quantum dimer model
- Bose-Einstein Condensation in Magnetic Insulators
- Ising models of quantum frustration
- Magnetic Superstructure in the Two-Dimensional Quantum Antiferromagnet SrCu2(BO3)2
- Dimensional reduction at a quantum critical point
- Classical dimers on the triangular lattice
- Zero Temperature Phase Transition in Spin-ladders: Phase Diagram and Dynamical studies of Cu(Hp)Cl
- Zero-Temperature Properties of the Quantum Dimer Model on the Triangular Lattice
- Generic mixed columnar-plaquette phases in Rokhsar-Kivelson models
- Vison gap in the Rokhsar-Kivelson dimer model on the triangular lattice
- Dynamics of the quantum dimer model on the triangular lattice: Soft modes and local resonating valence-bond correlations
- Identification of an RVB liquid phase in a quantum dimer model with competing kinetic terms
- Crystallization of the resonating valence bond liquid as vortex condensation
- Doping quantum dimer models on the square lattice
- Properties of holons in the Quantum Dimer Model
- Phase separation and flux quantization in the doped quantum dimer model on the square and triangular lattices
Cited by in corpus (9)
- Effective Quantum Dimer Model for the Kagome Heisenberg Antiferromagnet: Nearby Quantum Critical Point and Hidden Degeneracy
- Generalized Hardcore Dimer Models approach to low-energy Heisenberg frustrated antiferromagnets: general properties and application to the kagome antiferromagnet
- Competing Valence Bond Crystals in the Kagome Quantum Dimer Model
- Impurity-doped Kagome Antiferromagnet: A Quantum Dimer Model Approach
- Statistical transmutation in doped quantum dimer models
- Field-induced superfluids and Bose liquids in Projected Entangled Pair States
- Statistics of holes and nature of superfluid phases in Quantum dimer models
- Competing supersolids of Bose-Bose mixtures in a triangular lattice
- Resonating valence bonds and spinon pairing in the Dicke model