Article,
Thermal Phase Transition of the Dilute \$s\$-State Potts and \$n\$-Vector Models at the Percolation Threshold
Physical Review Letters, 46 (4): 250--253 (January 1981)
DOI: 10.1103/physrevlett.46.250
Abstract
A general theory is given for the quenched dilute s-state Potts and n-vector models in any dimension d. It is shown that for T→0 at the percolation threshold the Potts thermal exponent νT equals the percolation exponent νp, implying a crossover exponent φ=1, for any s and d. For the n-vector model (n>1), νT=νp/ζR, where ζR is a resistivity critical exponent. Agreement with recent experiments for two-dimensional dilute Ising and Heisenberg systems is excellent.
