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

Amulya V Madhav
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Abstract

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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Amulya V Madhav. 2003-08-26. Semiclassical theory for quantum spin models with ring exchange on the triangular lattice. https://arxiv.org/abs/cond-mat/0308523

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