Vison gap in the Rokhsar-Kivelson dimer model on the triangular lattice

Abstract

With the classical Monte Carlo method, I find the energy gap in the Rokhsar-Kivelson dimer model on the triangular lattice. I identify the lowest excitations as visons, and compute their energy as a function of the momentum.

5 pages

Cited by in corpus (38)

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• Classical dimers with aligning interactions on the square lattice
• Zero-Temperature Properties of the Quantum Dimer Model on the Triangular Lattice
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• Numerical study of fractionalization in an Easy-axis Kagome antiferromagnet
• Quantum Dimer Model on the triangular lattice: Semiclassical and variational approaches to vison dispersion and condensation
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• Dynamics of the quantum dimer model on the triangular lattice: Soft modes and local resonating valence-bond correlations
• Z2 topological liquid of hard-core bosons on a kagome lattice at 1/3 filling
• Diagnosing Fractionalization from the Spin Dynamics of $Z_2$ Spin Liquids on the Kagome Lattice by Quantum Monte Carlo Simulations
• Crystallization of the resonating valence bond liquid as vortex condensation
• Zero-temperature Kosterlitz-Thouless transition in a two-dimensional quantum system
• Finite-Volume Energy Spectrum, Fractionalized Strings, and Low-Energy Effective Field Theory for the Quantum Dimer Model on the Square Lattice
• Dynamical dimer correlations at bipartite and non-bipartite Rokhsar-Kivelson points
• Fully packed quantum loop model on the square lattice: phase diagram and application for Rydberg atoms
• Phase diagram of the hexagonal lattice quantum dimer model: Order parameters, ground-state energy, and gaps
• Statistical mechanics of dimers on quasiperiodic Ammann-Beenker tilings
• Resonating Valence Bond States with Trimer Motifs
• Magnetic field-induced transition in a quantum magnet described by the Quantum Dimer Model
• Random walks near Rokhsar-Kivelson points
• Loop condensation in the triangular lattice quantum dimer model
• Single hole and vortex excitations in the doped Rokhsar-Kivelson quantum dimer model on the triangular lattice
• Hidden orders and phase transitions for the fully packed quantum loop model on the triangular lattice
• Cubic* criticality emerging from a quantum loop model on triangular lattice
• Kosterlitz-Thouless transitions and phase diagrams of the interacting monomer-dimer model on a checkerboard lattice
• Detecting non-magnetic excitations in quantum magnets
• $Z_3$ topological order in the quantum dimer-pentamer model
• Vison excitations in near-critical quantum dimer models
• Flux roughening in spin ice with mixed $\pm J$ interactions
• The ${\mathbb{Z}}_2$ toric-code and the double-semion topological order of hardcore Bose-Hubbard-type models in the strong-interaction limit
• Excitation spectrum of a 2D long-range Bose-liquid with a supersymmetry
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• Continuous interpolation between the fully frustrated Ising and quantum dimer models
• Symmetrizing the Constraints -- Density Matrix Renormalization Group for Constrained Lattice Models