Semiclassical theory for quantum spin models with ring exchange on the triangular lattice

Details Semiclassical theory for quantum spin models with ring exchange on the triangular lattice Semiclassical theory for quantum spin models with ring exchange on the triangular lattice

2003-08-26

arxiv.org/abs/cond-mat/0308523v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, Revtex

Scientific paper

A semiclassical theory of a quantum spin$-S$ model with competing ring and Heisenberg exchange terms on the triangular lattice is obtained. A mechanism for the generation of $Z_2$ vortices is exhibited. The vortices are shown to carry a nontrivial geometric phase for the order parameter when $2S$ is odd, leading to a difference between the quantum disordered ground states and low energy spectra for half odd integer and half even integer spin systems, and a topological degeneracy on surfaces with nontrivial cycles. A connection to dimer models is discussed.

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