Periodic band random matrices, curvature, and conductance in disordered media

Giulio Casati, Italo Guarneri, Felix M. Izrailev, Luca Molinari, and Karol Życzkowski
Phys. Rev. Lett. 72, 2697 – Published 25 April 1994
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Abstract

Changes in the boundary conditions enforce variations of the eigenvalues of periodic band random matrices. We investigate the statistics of the corresponding curvatures and discuss connections with conductance fluctuations. In particular we show with numerical data that mean curvatures obey a scaling law quite similar to the one expected for mean conductance, and that a distribution law predicted for curvatures of Gaussian orthogonal ensemble matrices also holds for band matrices in the metallic regime.

  • Received 22 December 1993

DOI:https://doi.org/10.1103/PhysRevLett.72.2697

©1994 American Physical Society

Authors & Affiliations

Giulio Casati, Italo Guarneri, and Felix M. Izrailev

  • Università di Milano, sede di Como, via Lucini 3, 22100 Como, Italy

Luca Molinari

  • Università di Milano, Dipartmento di Fisica, via Celoria 16, 20133 Milano, Italy

Karol Życzkowski

  • Uniwersytet Jagielloński, Instytut Fizyki ul. Reymonta 4, 30-059 Kraków, Poland

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Vol. 72, Iss. 17 — 25 April 1994

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