Scale Invariance and Self-averaging in disordered systems

Details Scale Invariance and Self-averaging in disordered systems Scale Invariance and Self-averaging in disordered systems

2003-12-31

arxiv.org/abs/cond-mat/0312715v1

Europhysics Letters 66 (2004) 465

Physics

Condensed Matter

Statistical Mechanics

7 pages, 4 ps figures

Scientific paper

10.1209/epl/i2004-10014-0

In a previous paper we found that in the random field Ising model at zero temperature in three dimensions the correlation length is not self-averaging near the critical point and that the violation of self-averaging is maximal. This is due to the formation of bound states in the underlying field theory. We present a similar study for the case of disordered Potts and Ising ferromagnets in two dimensions near the critical temperature. In the random Potts model the correlation length is not self-averaging near the critical temperature but the violation of self-averaging is weaker than in the random field case. In the random Ising model we find still weaker violations of self-averaging and we cannot rule out the possibility of the restoration of self-averaging in the infinite volume limit.

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