Ground state projection of quantum spin systems in the valence bond basis
Strongly Correlated Electrons
2016-08-31 v1 Statistical Mechanics
Abstract
A Monte Carlo method for quantum spin systems is formulated in the basis of valence bond (singlet pair) states. The non-orthogonality of this basis allows for an efficient importance-sampled projection of the ground state out of an arbitrary state. The method provides access to resonating valence-bond physics, enables a direct improved estimator for the singlet-triplet gap, and extends the class of models that can be studied without negative-sign problems. As a demonstration, the valence bond distribution in the ground state of the 2D Heisenberg antiferromagnet is calculated. Generalizations of the method to fermion systems are also discussed.
Keywords
Cite
@article{arxiv.cond-mat/0509558,
title = {Ground state projection of quantum spin systems in the valence bond basis},
author = {Anders W. Sandvik},
journal= {arXiv preprint arXiv:cond-mat/0509558},
year = {2016}
}
Comments
4+ pages, accepted for publication in Phys. Rev. Lett