Two-parameter scaling in the wigner ensemble

Mario Feingold; Alessandro Gioletta; Felix M. Izrailev; Luca Molinari

doi:10.1103/PhysRevLett.70.2936

Two-parameter scaling in the wigner ensemble

Mario Feingold, Alessandro Gioletta, Felix M. Izrailev, Luca Molinari

Department of Physics

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

32 Scopus citations

Abstract

The Wigner ensemble of band random matrices describes the statistical properties of strongly chaotic Hamiltonians; it may also be viewed as a disordered tight-binding model with an electric field. We investigate the scaling properties of the localization of eigenstates and that of the distribution of level spacings, P(s), for finite matrices. We show that both quantities are uniquely determined by two scaling parameters.

Original language	English
Pages (from-to)	2936-2939
Number of pages	4
Journal	Physical Review Letters
Volume	70
Issue number	19
DOIs	https://doi.org/10.1103/PhysRevLett.70.2936
State	Published - 1 Jan 1993

ASJC Scopus subject areas

Physics and Astronomy (all)

Access to Document

10.1103/PhysRevLett.70.2936

Cite this

@article{3d93c9bf83b74478a8178a239accadf3,

title = "Two-parameter scaling in the wigner ensemble",

abstract = "The Wigner ensemble of band random matrices describes the statistical properties of strongly chaotic Hamiltonians; it may also be viewed as a disordered tight-binding model with an electric field. We investigate the scaling properties of the localization of eigenstates and that of the distribution of level spacings, P(s), for finite matrices. We show that both quantities are uniquely determined by two scaling parameters.",

author = "Mario Feingold and Alessandro Gioletta and Izrailev, {Felix M.} and Luca Molinari",

year = "1993",

month = jan,

day = "1",

doi = "10.1103/PhysRevLett.70.2936",

language = "English",

volume = "70",

pages = "2936--2939",

journal = "Physical Review Letters",

issn = "0031-9007",

publisher = "American Physical Society",

number = "19",

}

TY - JOUR

T1 - Two-parameter scaling in the wigner ensemble

AU - Feingold, Mario

AU - Gioletta, Alessandro

AU - Izrailev, Felix M.

AU - Molinari, Luca

PY - 1993/1/1

Y1 - 1993/1/1

N2 - The Wigner ensemble of band random matrices describes the statistical properties of strongly chaotic Hamiltonians; it may also be viewed as a disordered tight-binding model with an electric field. We investigate the scaling properties of the localization of eigenstates and that of the distribution of level spacings, P(s), for finite matrices. We show that both quantities are uniquely determined by two scaling parameters.

AB - The Wigner ensemble of band random matrices describes the statistical properties of strongly chaotic Hamiltonians; it may also be viewed as a disordered tight-binding model with an electric field. We investigate the scaling properties of the localization of eigenstates and that of the distribution of level spacings, P(s), for finite matrices. We show that both quantities are uniquely determined by two scaling parameters.

UR - http://www.scopus.com/inward/record.url?scp=4243869254&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.70.2936

DO - 10.1103/PhysRevLett.70.2936

M3 - Article

AN - SCOPUS:4243869254

SN - 0031-9007

VL - 70

SP - 2936

EP - 2939

JO - Physical Review Letters

JF - Physical Review Letters

IS - 19

ER -

Two-parameter scaling in the wigner ensemble

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this