Planar Pyrochlore,Quantum Ice and Sliding Ice |
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Authors: | Moessner R Tchernyshyov Oleg Sondhi S L |
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Institution: | 1. Laboratoire de Physique Théorique, école Normale Supérieure, CNRS-UMR 8549, Paris, France 2. Department of Physics and Astronomy, Johns Hopkins University, Baltimore, Maryland, 21218 3. Department of Physics, Princeton University, Princeton, New Jersey, 08544
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Abstract: | We study quantum antiferromagnetism on the highly frustrated planar pyrochlore lattice, also known as the square lattice with crossings. The quantum Heisenberg antiferromagnet on this lattice is of interest as a two-dimensional analogue of the pyrochlore lattice magnet. By combining several approaches we conclude that this system is most likely ordered for all values of spin, S, with a two-fold degenerate valence-bond solid being the ground state for small S. We show next that the Ising antiferromagnet with a weak four-spin exchange, equivalent to square ice with the leading quantum dynamics, exhibits analogous plaquette order. As a byproduct of this analysis we obtain, in the system of weakly coupled ice planes, a sliding phase with XY symmetry; at intermediate couplings, long range “anti-ferroelectric” order is stabilized. |
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