Scale Invariance in Disordered Systems: The Example of the Random-Field Ising Model

Giorgio Parisi; Nicolas Sourlas

doi:10.1103/PhysRevLett.89.257204

Scale Invariance in Disordered Systems: The Example of the Random-Field Ising Model

Giorgio Parisi
, Nicolas Sourlas

University of Rome La Sapienza
Laboratoire de Physique Théorique

Research output: Contribution to journal › Article › peer-review

68 Scopus citations

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.

Original language	English
Journal	Physical Review Letters
Volume	89
Issue number	25
DOIs	https://doi.org/10.1103/PhysRevLett.89.257204
State	Published - 2002
Externally published	Yes

Access to Document

10.1103/PhysRevLett.89.257204

Cite this

@article{8d4ff3edfb454ffc9ab11cc06bc8b0ed,

title = "Scale Invariance in Disordered Systems: The Example of the Random-Field Ising Model",

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.",

author = "Giorgio Parisi and Nicolas Sourlas",

year = "2002",

doi = "10.1103/PhysRevLett.89.257204",

language = "英语",

volume = "89",

journal = "Physical Review Letters",

issn = "0031-9007",

publisher = "American Physical Society",

number = "25",

}

TY - JOUR

T1 - Scale Invariance in Disordered Systems

T2 - The Example of the Random-Field Ising Model

AU - Parisi, Giorgio

AU - Sourlas, Nicolas

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0037122289

U2 - 10.1103/PhysRevLett.89.257204

DO - 10.1103/PhysRevLett.89.257204

M3 - 文章

AN - SCOPUS:0037122289

SN - 0031-9007

VL - 89

JO - Physical Review Letters

JF - Physical Review Letters

IS - 25

ER -

Scale Invariance in Disordered Systems: The Example of the Random-Field Ising Model

Abstract

Access to Document

Other files and links

Fingerprint

Cite this