Dimer State of Quantum Spin System on Triangular Lattice

秀稔 西森, Hidetoshi Nishimori, Hiizu Nakanishi

毅彦 溝口, Takehiko Oguchi, 秀稔 西森 +2 more

Arnaud Ralko, Michel Ferrero, Federico Becca +2 more

Shivaji L. Sondhi

Mike E. Zhitomirsky

An effective spin-orbit Hamiltonian is derived for a spin-$1∕2$ trimerized kagom\'e 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. The characteristic energy scale for the dimer model constitutes only a small fraction of the weaker exchange coupling constant.

Mike E. Zhitomirsky

Low-energy singlet states of a spin-1/2 trimerized kagomé antiferromagnet are mapped to an effective quantum dimer model on a triangular lattice. The 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.