English

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

Strongly Correlated Electrons 2011-07-19 v2

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.

Keywords

Cite

@article{arxiv.cond-mat/0204428,
  title  = {Quantum dimer model on the kagome lattice: solvable dimer liquid and Ising gauge theory},
  author = {G. Misguich and D. Serban and V. Pasquier},
  journal= {arXiv preprint arXiv:cond-mat/0204428},
  year   = {2011}
}

Comments

4 pages, 2 figures (eps). RevTeX 4