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Quantum dimer model on the kagome lattice: solvable dimer liquid and Ising gauge theory

G. Misguich·D. Serban·V. Pasquier
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Abstract

We introduce quantum dimer models on lattices made of corner-sharing triangles. These lattices includes 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 Z_2 gauge theories.

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G. Misguich, D. Serban, V. Pasquier. 2002-10-02. Quantum dimer model on the kagome lattice: solvable dimer liquid and Ising gauge theory. https://doi.org/10.1103/physrevlett.89.137202

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