Semiclassical theory of spin-orbit coupling

Spin-orbit coupling in semiclassical approximation

“…This is in perfect agreement with the analysis of the spherical problem by Littlejohn and Flynn [14]. Note that the exact result for the spin-orbit splitting is found by using the semiclassical quantization rule…”

“…In the course of our work we discovered that our approach is in the spirit of early, brief considerations by Balian and Bloch [13]. As an application of the improved WKB theory Littlejohn and Flynn have in great detail investigated the case of spin-orbit coupling in spherical potentials [14]. Here, we focus attention on spin-orbit interaction in deformed systems for which the atomic nuclei provide an obvious physical motivation [4].…”

Transverse focusing of spin-polarized photocurrents

“…Spin dependent cyclotron motion is often treated in terms of adiabatic-spin semiclassics [23][24][25][26][27][28] , as defined by Zülicke et al 15 In this limit there are classical trajectories associated with each of the quantized spin states projected along the precession vector, Ω. This spin projection is kept frozen and as such can be used to describe the splitting in terms of the two possible projections of a S = 1 2 electron.…”

Semiclassical theory of weak antilocalization and spin relaxation in ballistic quantum dots

“…The theory to be discussed here unifies two subject areas, the semiclassical description of WL [48][49][50] and the semiclassical treatment of SO interaction. [51][52][53][54][55][56][57] Compared to the earlier works 44,45,47 on the subject, here we give special attention to the differences in spin relaxation along open and closed trajectories, analyze the interplay between Rashba and Dresselhaus interaction, and report on the full quantum calculations of spin-dependent transmission and reflection. This paper is organized as follows: In the introductory Sec.…”