Diffusive-Ballistic Crossover and the Persistent Spin Helix

Abstract

Conventional transport theory focuses on either the diffusive or ballistic regimes and neglects the crossover region between the two. In the presence of spin-orbit coupling, the transport equations are known only in the diffusive regime, where the spin precession angle is small. In this paper, we develop a semiclassical theory of transport valid throughout the diffusive - ballistic crossover of a special SU(2) symmetric spin-orbit coupled system. The theory is also valid in the physically interesting regime where the spin precession angle is large. We obtain exact expressions for the density and spin structure factors in both 2 and 3 dimensional samples with spin-orbit coupling.

4 pages, 3 figures

References in corpus (6)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Dissipationless Quantum Spin Current at Room Temperature
• An Exact SU(2) Symmetry and Persistent Spin Helix in a Spin-Orbit Coupled System
• Spin current and polarization in impure 2D electron systems with spin-orbit coupling
• Current induced electron spin polarization in strained semiconductors
• Non-diffusive spin dynamics in a two-dimensional electron gas