The Rashba Effect within the Coherent Scattering Formalism

Details The Rashba Effect within the Coherent Scattering Formalism The Rashba Effect within the Coherent Scattering Formalism

2001-08-01

arxiv.org/abs/cond-mat/0108021v1

PHYS REV B 66 (15): Art. No. 155328 OCT 15 2002

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages

Scientific paper

10.1103/PhysRevB.66.155328

The influence of spin-orbit coupling in two-dimensional systems is investigated within the framework of the Landauer-Buettiker coherent scattering formalism. This formalism usually deals with spin-independent stationary states and, therefore, it does not include a spin-orbit contribution to the current. In this article, we will rederive the coherent scattering formalism, accounting for the changes brought about by the spin-orbit coupling. After a short review of the features of spin-orbit coupling in two-dimensional electron gases, we define the creation/annihilaton operators in the stationary states of the spin-orbit coupling Hamiltonian and use them to calculate the current operator within the Landauer-Buettiker formalism. The current is expressed as it is in the standard spin-independent case, but with the spin label replaced by a new label which we call the spin-orbit coupling label. The spin-orbit coupling effects can then be represented in a scattering matrix which relates the spin-orbit coupling stationary states in different leads. This scattering matrix is calculated in the case of a four-port beamsplitter, and it is shown to mix states with different spin-orbit coupling labels in a manner that depends on the angle between the leads. The formalism is then used to calculate the effect of spin-orbit coupling on the current and noise in two examples of electron collision.

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