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  4. Quantum dimer model on the triangular lattice: Semiclassical and variational approaches to vison dispersion and condensation
 
research article

Quantum dimer model on the triangular lattice: Semiclassical and variational approaches to vison dispersion and condensation

Misguich, Gregoire
•
Mila, Frederic
2008
Physical Review B

After reviewing the concept of vison excitations in Z(2) dimer liquids, we study the liquid-crystal transition of the quantum dimer model on the triangular lattice by means of a semiclassical spin-wave approximation to the dispersion of visons in the context of a "soft-dimer" version of the model. This approach captures some important qualitative features of the transition: continuous nature of the transition, linear dispersion at the critical point, and root 12 x root 12 symmetry-breaking pattern. In a second part, we present a variational calculation of the vison dispersion relation at the Rokhsar-Kivelson (RK) point, which reproduces the qualitative shape of the dispersion relation and the order of magnitude of the gap. This approach provides a simple but reliable approximation of the vison wave functions at the RK point.

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Type
research article
DOI
10.1103/PhysRevB.77.134421
Web of Science ID

WOS:000255457200074

Author(s)
Misguich, Gregoire
•
Mila, Frederic
Date Issued

2008

Published in
Physical Review B
Volume

77

Article Number

134421

Subjects

Ising-Models

•

Fractionalization

•

Statistics

•

Phase

•

Order

Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
CTMC  
Available on Infoscience
November 30, 2010
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/61442
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