Phase diagram of an extended quantum dimer model on the hexagonal lattice

Abstract

We introduce a quantum dimer model on the hexagonal lattice that, in addition to the standard three-dimer kinetic and potential terms, includes a competing potential part counting dimer-free hexagons. The zero-temperature phase diagram is studied by means of quantum Monte Carlo simulations, supplemented by variational arguments. It reveals some new crystalline phases and a cascade of transitions with rapidly changing flux (tilt in the height language). We analyze perturbatively the vicinity of the Rokhsar-Kivelson point, showing that this model has the microscopic ingredients needed for the "devil's staircase" scenario [E. Fradkin et al., Phys. Rev. B 69, 224415 (2004)], and is therefore expected to produce fractal variations of the ground-state flux.

Published version. 5 pages + 8 (Supplemental Material), 31 references, 10 color figures

References in corpus (5)

• Interacting anyons in topological quantum liquids: The golden chain
• Interacting classical dimers on the square lattice
• Quantum criticality, lines of fixed points, and phase separation in doped two-dimensional quantum dimer models
• Interfaces, Strings, and a Soft Mode in the Square Lattice Quantum Dimer Model
• Devil's staircases, quantum dimer models, and stripe formation in strong coupling models of quantum frustration

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• Finite-Volume Energy Spectrum, Fractionalized Strings, and Low-Energy Effective Field Theory for the Quantum Dimer Model on the Square Lattice
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• Probing many-body localization in a disordered quantum dimer model on the honeycomb lattice
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• Quantum Simulation of Two-Dimensional $\mathrm{U}(1)$ Gauge Theory in Rydberg and Rydberg-Dressed Atom Arrays
• Re-entrance effect in the high-temperature critical phase of the quantum dimer model on the square lattice
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