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- Title
From the Anderson Model on a Strip to the DMPK Equation and Random Matrix Theory.
- Authors
Bachmann, S.; Roeck, W. De
- Abstract
We study weakly disordered quantum wires whose width is large compared to the Fermi wavelength. It is conjectured that such wires display universal metallic behavior as long as their length is shorter than the localization length (which increases with the width). The random matrix theory that accounts for this behavior—the DMPK theory—rests on assumptions that are in general not satisfied by realistic microscopic models. Starting from the Anderson model on a strip, we show that a twofold scaling limit nevertheless allows to recover rigorously the fundaments of DMPK theory, thus opening a way to settle some conjectures on universal metallic behavior.
- Subjects
RANDOM matrices; ENERGY-band theory of solids; ORDER-disorder models; FREE electron theory of metals; NANOWIRES
- Publication
Journal of Statistical Physics, 2010, Vol 139, Issue 4, p541
- ISSN
0022-4715
- Publication type
Article
- DOI
10.1007/s10955-010-9947-2