Monte Carlo Study of the Critical Behavior of Random Bond Potts Models

Details Monte Carlo Study of the Critical Behavior of Random Bond Potts Models Monte Carlo Study of the Critical Behavior of Random Bond Potts Models

1999-03-04

arxiv.org/abs/cond-mat/9903068v2

Phys.Rev.B60:3428,1999

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages, 11 postscript figures, corrected typos, added references

Scientific paper

10.1103/PhysRevB.60.3428

We present results of Monte Carlo simulations of random bond Potts models in two dimensions, for different numbers of Potts states, q. We introduce a simple scheme which yields continuous self-dual distributions of the interactions. As expected, we find multifractal behavior of the correlation functions at the critical point and obtain estimates of the exponent eta_n for several moments, n, of the correlation functions, including typical (n -> 0), average (n=1) and others. In addition, for q=8, we find that there is only a single correlation length exponent describing the correlation length away from criticality. This is numerically very close to the pure Ising value of unity.

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