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

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.

4 pages, 2 figures (eps). RevTeX 4

References in corpus (4)

• Short-ranged RVB physics, quantum dimer models and Ising gauge theories
• Fractionalization in an Easy-axis Kagome Antiferromagnet
• Topologically protected quantum bits from Josephson junction arrays
• The "Square Kagome" Quantum Antiferromagnet and the Eight Vertex Model

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