Semiclassical theory for quantum spin models with ring exchange on the triangular lattice
Madhav, Amulya V
Original · EN
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 Z₂ 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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