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Quantum Disordered Ground States in Frustrated Antiferromagnets with Multiple Ring Exchange Interactions

Satoshi Fujimoto
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Abstract

We present a certain class of two-dimensional frustrated quantum Heisenberg spin systems with multiple ring exchange interactions which are rigorously demonstrated to have quantum disordered ground states without magnetic long-range order. The systems considered in this paper are s=1/2 antiferromagnets on a honeycomb and square lattices, and an s=1 antiferromagnet on a triangular lattice. We find that for a particular set of parameter values, the ground state is a short-range resonating valence bond state or a valence bond crystal state. It is shown that these systems are closely related to the quantum dimer model introduced by Rokhsar and Kivelson as an effective low-energy theory for valence bond states.

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Satoshi Fujimoto. 2005-01-28. Quantum Disordered Ground States in Frustrated Antiferromagnets with Multiple Ring Exchange Interactions. https://doi.org/10.1103/physrevb.72.024429

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