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.
Complete list of metadatas

Cited literature [28 references]  Display  Hide  Download

https://hal-cea.archives-ouvertes.fr/cea-01233638
Contributor : Grégoire Misguich <>
Submitted on : Wednesday, November 25, 2015 - 3:04:44 PM
Last modification on : Tuesday, August 20, 2019 - 5:12:02 PM
Long-term archiving on: Saturday, April 29, 2017 - 12:44:47 AM

File

hexqdm_v11.5b_for_arxiv.pdf
Files produced by the author(s)

Identifiers

Citation

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, American Physical Society, 2015, 115, pp.217202. ⟨10.1103/PhysRevLett.115.217202⟩. ⟨cea-01233638⟩

Share

Metrics

Record views

215

Files downloads

135