Scale Invariance in disordered systems: the example of the Random Field Ising Model

Details Scale Invariance in disordered systems: the example of the Random Field Ising Model Scale Invariance in disordered systems: the example of the Random Field Ising Model

2002-07-17

arxiv.org/abs/cond-mat/0207415v1

Physics

Condensed Matter

Scientific paper

10.1103/PhysRevLett.89.257204

We show by numerical simulations that the correlation function of the random field Ising model (RFIM) in the critical region in three dimensions has very strong fluctuations and that in a finite volume the correlation length is not self-averaging. This is due to the formation of a bound state in the underlying field theory. We argue that this non perturbative phenomenon is not particular to the RFIM in 3-d. It is generic for disordered systems in two dimensions and may also happen in other three dimensional disordered systems.

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