Quantum dimer model for trimerized kagoméantiferromagnet
M. E. Zhitomirsky
Commissariat àl'Energie Atomique, DSM/DRFMC/SPSMS, 38054 Grenoble, France
PACS: 75.10.Jm, 75.50.Ee
Abstract
Low-energy singlet states of
a spin-1/2 trimerized kagoméantiferromagnet are mapped to
an effective quantum dimer model on a triangular lattice.
Mapping is done in the first-order of perturbation theory
in a weaker coupling
constant of the trimerized model. The derived quantum dimer
model is dominated by kinetic energy terms (dimer resonances)
on a few shortest loops of the triangular lattice.