From the Anderson Model on a Strip to the DMPK Equation and Random Matrix Theory

  title={From the Anderson Model on a Strip to the DMPK Equation and Random Matrix Theory},
  author={Sven Bachmann and Wojciech de Roeck},
  journal={Journal of Statistical Physics},
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… 

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