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

Pier Mello , Jean-Louis Pichard

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.

Domaines: Articles anciens

Pier Mello, Jean-Louis Pichard. Symmetries and parametrization of the transfer matrix in electronic quantum transport theory. Journal de Physique I, 1991, 1 (4), pp.493-513. ⟨10.1051/jp1:1991148⟩. ⟨jpa-00246346⟩