Scaling properties of band random matrices

Giulio Casati, Luca Molinari, and Felix Izrailev
Phys. Rev. Lett. 64, 1851 – Published 16 April 1990
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Abstract

It is shown on the basis of numerical data that the normalized localization length of eigenvectors of band random matrices follows a scaling law. The scaling parameter is b2/N, where b measures the bandwidth and N is the size of the matrix.

  • Received 22 January 1990

DOI:https://doi.org/10.1103/PhysRevLett.64.1851

©1990 American Physical Society

Authors & Affiliations

Giulio Casati and Luca Molinari

  • Dipartimento di Fisica, Università di Milano, Via Celoria 16, 20133 Milano, Italy

Felix Izrailev

  • Institute of Nuclear Physics, 630090 Novosibirsk, U.S.S.R.

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Issue

Vol. 64, Iss. 16 — 16 April 1990

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