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Percolation Transition in the random antiferromagnetic spin-1 chain

arXiv:cond-mat/9705231 · doi:10.1103/PhysRevLett.79.3254

Abstract

We give a physical description in terms of percolation theory of the phase transition that occurs when the disorder increases in the random antiferromagnetic spin-1 chain between a gapless phase with topological order and a random singlet phase. We study the statistical properties of the percolation clusters by numerical simulations, and we compute exact exponents characterizing the transition by a real-space renormalization group calculation.

9 pages, 4 encapsulated Postscript figures, REVTeX 3.0