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. © 1994 The American Physical Society.

Periodic band random matrices, curvature, and conductance in disordered media / G. Casati, I. Guarneri, F.M. Izrailev, L.G. Molinari, K. Zyczkowski. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 72:17(1994), pp. 2697-2700. [10.1103/PhysRevLett.72.2697]

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

L.G. Molinari
Penultimo
;
1994

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. © 1994 The American Physical Society.
Band random matrices; eigenvalue curvatures; conductance
Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici
Settore PHYS-02/A - Fisica teorica delle interazioni fondamentali, modelli, metodi matematici e applicazioni
1994
25-apr-1994
Article (author)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/1096768
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