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

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

2005-01-28

arxiv.org/abs/cond-mat/0501698v1

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, 4 figures

Scientific paper

10.1103/PhysRevB.72.024429

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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