Effective quantum dimer model for trimerized kagome antiferromagnet

Details Effective quantum dimer model for trimerized kagome antiferromagnet Effective quantum dimer model for trimerized kagome antiferromagnet

2005-01-19

arxiv.org/abs/cond-mat/0501460v1

Phys. Rev. B 71, 214413 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 3 figures

Scientific paper

10.1103/PhysRevB.71.214413

An effective spin-orbit Hamiltonian is derived for a spin-1/2 trimerized kagome antiferromagnet in the second-order of perturbation theory in the ratio of two coupling constants. Low-energy singlet states of the obtained model are mapped to a quantum dimer model on a triangular lattice. The quantum dimer model is dominated by dimer resonances on a few shortest loops of the triangular lattice. Characteristic energy scale for the dimer model constitutes only a small fraction of the weaker exchange coupling constant.

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