Valence Bond Solid Phases in a Cubic Antiferromagnet (Journal Article)
Published: Wednesday, July 25, 2007
Journal: Physical Review Letters,
Volume 99, Number 47202,
Pages 4
Authors:
K. Beach,
A. W. Sandvik
Abstract: We 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 (VBS) 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 another and from a Néel 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 Néel–VBS transition driven by four-spin plaquette interactions.
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