The two-dimensional bond-diluted quantum Heisenberg model at the classical percolation threshold
Strongly Correlated Electrons
2007-05-23 v1 Disordered Systems and Neural Networks
Abstract
The two-dimensional antiferromagnetic S=1/2 Heisenberg model with random bond dilution is studied using quantum Monte Carlo simulation at the percolation threshold (50% of the bonds removed). Finite-size scaling of the staggered structure factor averaged over the largest connected clusters of sites on L*L lattices shows that long-range order exists within the percolating fractal clusters in the thermodynamic limit. This implies that the order-disorder transition driven by bond-dilution occurs exactly at the percolation threshold and that the exponents are classical. This result should apply also to the site-diluted system.
Cite
@article{arxiv.cond-mat/9909230,
title = {The two-dimensional bond-diluted quantum Heisenberg model at the classical percolation threshold},
author = {Anders W. Sandvik},
journal= {arXiv preprint arXiv:cond-mat/9909230},
year = {2007}
}
Comments
4 pages, 4 figures