Quantum Dimer Model on the Kagome Lattice: Solvable Dimer-Liquid and Ising Gauge Theory

G. Misguich, D. Serban, and V. Pasquier
Phys. Rev. Lett. 89, 137202 – Published 6 September 2002

Abstract

We introduce quantum dimer models on lattices made of corner-sharing triangles. These lattices include the kagome lattice and can be defined in arbitrary geometry. They realize fully disordered and gapped dimer-liquid phase with topological degeneracy and deconfined fractional excitations, as well as solid phases. Using geometrical properties of the lattice, several results are obtained exactly, including the full spectrum of a dimer liquid. These models offer a very natural–and maybe the simplest possible–framework to illustrate general concepts such as fractionalization, topological order, and relation to Z2 gauge theories.

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  • Received 19 April 2002

DOI:https://doi.org/10.1103/PhysRevLett.89.137202

©2002 American Physical Society

Authors & Affiliations

G. Misguich*, D. Serban, and V. Pasquier

  • Service de Physique Théorique, CEA Saclay, 91191 Gif-sur-Yvette Cedex, France

  • *Email address: gmisguich@cea.fr

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Issue

Vol. 89, Iss. 13 — 23 September 2002

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