Percolation Transition in the random antiferromagnetic spin-1 chain

C. Monthus 1, O. Golinelli 1, Th. Jolicoeur 1

Physical Review Letters 79 (1997) 3254-3257

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.

  • 1. Service de Physique Théorique (SPhT),
    CNRS : URA2306 – CEA : DSM/SPHT