2003/08/05 by Oleg Tchernyshyov
Physics and Astronomy · #cond-mat.str-el
paper · pdf · doi:10.1088/0953-8984/16/11/019
published as J. Phys.: Condens. Matter 16, S709 (2004) · Proceedings of Highly Frustrated Magnetism 2003 (Grenoble), 6 LaTeX pages
arxiv created 2003/08/05 · arxiv updated 2009/12/01
This paper explores the large-S route to quantum disorder in the Heisenberg antiferromagnet on the pyrochlore lattice and its homologues in lower dimensions. It is shown that zero-point fluctuations of spins shape up a valence-bond solid at low temperatures for one two-dimensional lattice and a liquid with very short-range valence-bond correlations for another. A one-dimensional model demonstrates potential significance of quantum interference effects (as in Haldane's gap): the quantum melting of a valence-bond order yields different valence-bond liquids for integer and half-integer values of S.