Valence bond solid phases in a cubic antiferromagnet
摘要
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 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.
引用
@article{arxiv.cond-mat/0612126,
title = {Valence bond solid phases in a cubic antiferromagnet},
author = {K. S. D. Beach and Anders W. Sandvik},
journal= {arXiv preprint arXiv:cond-mat/0612126},
year = {2007}
}
备注
4 pages, 5 figures