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Journal Articles Physical Review Letters Year : 2015

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

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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.
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Dates and versions

cea-01233638 , version 1 (25-11-2015)

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Thiago Schlittler, Thomas Barthel, Grégoire Misguich, Julien Vidal, Rémy Mosseri. Phase diagram of an extended quantum dimer model on the hexagonal lattice. Physical Review Letters, 2015, 115, pp.217202. ⟨10.1103/PhysRevLett.115.217202⟩. ⟨cea-01233638⟩
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