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 gauge theories.
- Received 19 April 2002
DOI:https://doi.org/10.1103/PhysRevLett.89.137202
©2002 American Physical Society