Planar pyrochlore, quantum ice and sliding ice
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Publication:2385661
DOI10.1023/B:JOSS.0000037247.54022.62zbMATH Open1142.82317arXivcond-mat/0106286MaRDI QIDQ2385661
Author name not available (Why is that?)
Publication date: 12 October 2007
Published in: (Search for Journal in Brave)
Abstract: We study quantum antiferromagnetism on the highly frustrated checkerboard lattice, also known as the square lattice with crossings. The quantum Heisenberg antiferromagnet on this lattice is of interest as a two-dimensional analog of the pyrochlore lattice magnet. By combining several approaches we conclude that this system is most likely ordered for all values of spin, , with a Neel state for large giving way to a two-fold degenerate valence-bond solid for smaller . We show next that the Ising antiferromagnet with a weak four-spin exchange, equivalent to square ice with the leading quantum dynamics, exhibits long range ``anti-ferroelectric order. As a byproduct of this analysis we obtain, in the system of weakly coupled ice planes, a sliding phase with XY symmetry.
Full work available at URL: https://arxiv.org/abs/cond-mat/0106286
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