The two-dimensional bond-diluted quantum Heisenberg model at the classical percolation threshold

Details The two-dimensional bond-diluted quantum Heisenberg model at the classical percolation threshold The two-dimensional bond-diluted quantum Heisenberg model at the classical percolation threshold

1999-09-15

arxiv.org/abs/cond-mat/9909230v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 4 figures

Scientific paper

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.

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