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

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

2002-04-19

arxiv.org/abs/cond-mat/0204428v2

Phys.Rev.Lett.89:137202,2002

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 2 figures (eps). RevTeX 4

Scientific paper

10.1103/PhysRevLett.89.137202

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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