J. Phys. I France
Volume 1, Numéro 4, April 1991
Page(s) 493 - 513
DOI: 10.1051/jp1:1991148
J. Phys. I France 1 (1991) 493-513

Symmetries and parametrization of the transfer matrix in electronic quantum transport theory

Pier A. Mello and Jean-Louis Pichard

Instituto de Física, UNAM, Apartado Postal 20-364, 01000 México D.F. Service de Physique du Solide et Résonance Magnétique, CEA, CEN-Saclay, 91191 Gif-sur Yvette Cedex, France

(Received 22 October 1990, accepted 20 December 1990)

We analyze for the orthogonal, unitary and symplectic cases the structure of the space where the multiplicative transfer matrix M of a multi-channel elastic scatterer is defined. We parametrize this space with a set of radial parameters, which are related in a simple way to the conductance of the elastic scatterer, and with two auxiliary unitary matrices, whose structure depends on the universality class.

Nous analysons pour les cas orthogonal, unitaire et symplectique, la structure de l'espace où est définie la matrice de transfert multiplicative d'un diffuseur élastique à N canaux. Nous décrivons cet espace à l'aide de N paramètres radiaux, dont la conductance est une fonction simple, et par deux matrices unitaires auxiliaires dont la structure dépend de la classe d'universalité.

© Les Editions de Physique 1991

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