Perturbation theory for Lyapunov exponents of an Anderson model on a strip

Schulz-Baldes H (2004)

Publication Type: Journal article

Publication year: 2004

Journal

Geometric and Functional Analysis Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 14

Pages Range: 1089-1117

URI: http://de.arxiv.org/abs/math-ph/0405018

DOI: 10.1007/s00039-004-0484-5

Abstract

It is proven that the inverse localization length of an Anderson model on a strip of width L is bounded above by L/λ² for small values of the coupling constant λ of the disordered potential. For this purpose, a formalism is developed in order to calculate the bottom Lyapunov exponent associated with random products of large symplectic matrices perturbatively in the coupling constant of the randomness.

Authors with CRIS profile

Hermann Schulz-Baldes Professur für Mathematik (Mathematische Physik)

How to cite

APA:

Schulz-Baldes, H. (2004). Perturbation theory for Lyapunov exponents of an Anderson model on a strip. Geometric and Functional Analysis, 14, 1089-1117. https://dx.doi.org/10.1007/s00039-004-0484-5

MLA:

Schulz-Baldes, Hermann. "Perturbation theory for Lyapunov exponents of an Anderson model on a strip." Geometric and Functional Analysis 14 (2004): 1089-1117.

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