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 nonperturbative phenomenon is not particular to the RFIM in 3D. It is generic for disordered systems in two dimensions and may also happen in other three-dimensional disordered systems.
Scale invariance in disordered systems: The example of the random-field Ising model / Parisi, Giorgio; Nicolas, Sourlas. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 89:25(2002), pp. 257204/1-257204/4. [10.1103/physrevlett.89.257204]
Scale invariance in disordered systems: The example of the random-field Ising model
PARISI, Giorgio;
2002
Abstract
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 nonperturbative phenomenon is not particular to the RFIM in 3D. It is generic for disordered systems in two dimensions and may also happen in other three-dimensional disordered systems.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
