Valence bond solid phases in a cubic antiferromagnet

dc.creatorBeach, K. S. D.
dc.creatorSandvik, Anders W.
dc.date2006-12-05
dc.date.accessioned2026-07-07T08:20:36Z
dc.date.available2026-07-07T08:20:36Z
dc.descriptionWe report on a valence bond projector Monte Carlo simulation of the cubic lattice quantum Heisenberg model with additional higher-order exchange interactions in each unit cell. The model supports two different valence bond solid ground states. In one of these states, the dimer pattern is a three-dimensional analogue of the columnar pattern familiar from two dimensions. In the other, the dimers are regularly arranged along the four main diagonals in 1/8 of the unit cells. The phases are separated from one other and from a Neel phase by strongly first order boundaries. Our results strengthen the case for exotic transitions in two dimensions, where no discontinuities have been detected at the Heisenberg Neel-VBS transition driven by four-spin plaquet interactions.
dc.description4 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0612126
dc.identifierhttp://arxiv.org/abs/cond-mat/0612126
dc.identifierPhys. Rev. Lett. 99, 047202 (2007)
dc.identifierdoi:10.1103/PhysRevLett.99.047202
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135118
dc.subjectStrongly Correlated Electrons
dc.titleValence bond solid phases in a cubic antiferromagnet
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