Quantum dimer model containing Rokhsar-Kivelson point expressed by spin-1/2 Heisenberg antiferromagnets

Abstract

We obtain a quantum dimer model (QDM) containing a Rokhsar-Kivelson (RK) point expressed by spin-1/2 Heisenberg antiferromagnets on a diamond-like decorated square lattice. This lattice has macroscopically degenerated nonmagnetic ground states, which are equivalent to the Hilbert space of a square-lattice QDM. Then, a square-lattice QDM containing the RK point as a second-order effective Hamiltonian is obtained by introducing further neighbor couplings as perturbation. Our model can provide a new method for the experimental realization of a resonating valence bond state in the QDM.

13 pages, 11 figures

References in corpus (33)

• Many-Body Physics with Ultracold Gases
• Anyons in an exactly solved model and beyond
• Quantum Spin Liquid States
• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• An RVB phase in the triangular lattice quantum dimer model
• Relevance of the Heisenberg-Kitaev model for the honeycomb lattice iridates A_2IrO_3
• Spin waves and revised crystal structure of honeycomb iridate Na2IrO3
• Quantum dynamics of a single, mobile spin impurity
• Exact results for spin dynamics and fractionization in the Kitaev Model
• Direct evidence of a zigzag spin chain structure in the honeycomb lattice: A neutron and x-ray diffraction investigation on single crystal $\mathrm{N}{\mathrm{a}}_2\mathrm{Ir}{\mathrm{O}}_3$
• Long range magnetic ordering in Na${}_2$IrO${}_3$
• Coulomb and Liquid Dimer Models in Three Dimensions
• Incommensurate Counterrotating Magnetic Order Stabilized by Kitaev Interactions in the Layered Honeycomb $\alpha$-Li${}_2$IrO${}_3$
• Three dimensional resonating valence bond liquids and their excitations
• The phase diagram of the hexagonal lattice quantum dimer model
• Zero-Temperature Properties of the Quantum Dimer Model on the Triangular Lattice
• SU(2)-invariant spin-1/2 Hamiltonians with RVB and other valence bond phases
• Generic mixed columnar-plaquette phases in Rokhsar-Kivelson models
• The plaquette phase of the square lattice quantum dimer model
• Emergent Glassy Dynamics in a Quantum Dimer Model
• Interfaces, Strings, and a Soft Mode in the Square Lattice Quantum Dimer Model
• Identification of an RVB liquid phase in a quantum dimer model with competing kinetic terms
• Quantum Disordered Ground States in Frustrated Antiferromagnets with Multiple Ring Exchange Interactions
• Phases of quantum dimers from ensembles of classical stochastic trajectories
• Phase diagram of an extended quantum dimer model on the hexagonal lattice
• Finite-Volume Energy Spectrum, Fractionalized Strings, and Low-Energy Effective Field Theory for the Quantum Dimer Model on the Square Lattice
• Exact non-magnetic ground state and residual entropy of S = 1/2 Heisenberg diamond spin lattices
• Reentrant phenomenon in the exactly solvable mixed spin-1/2 and spin-1 Ising-Heisenberg model on diamond-like decorated planar lattices
• Exact Realization of a Quantum-Dimer Model in Heisenberg Antiferromagnets on a Diamond-Like Decorated Lattice
• Ground States of Spin-1/2 Heisenberg Antiferromagnets with Frustration on a Diamond-Like Decorated Square Lattice
• Emergence of a Dimer-Dimer Interaction in the Low-Energy Effective Quantum-Dimer Model of a Diamond-Like-Decorated Square-Lattice Heisenberg Antiferromagnets with Further Neighbor Couplings
• Quantum dimer models emerging from large-spin ultracold atoms
• Novel constructive method for the quantum dimer model in spin-1/2 Heisenberg antiferromagnets with frustration on a diamond-like-decorated square lattice

Cited by in corpus (5)

• Phases of the spin-1/2 Heisenberg antiferromagnet on the diamond-decorated square lattice in a magnetic field
• Thermal first-order phase transitions, Ising critical points, and reentrance in the Ising-Heisenberg model on the diamond-decorated square lattice in a magnetic field
• Thermodynamic properties of the macroscopically degenerate tetramer-dimer phase of the spin-1/2 Heisenberg model on the diamond-decorated square lattice
• Magnetization plateaus, spin-canted orders and field-induced transitions in a spin-1/2 Heisenberg antiferromagnet on a distorted diamond-decorated honeycomb lattice
• Magnetization of electronic ground states in frustrated superstable graphs