2007/05/31 by Vladimir A. Zyuzin, V. A. Zyuzin, P. G. Silvestrov +1 · 35 citations
Physics and Astronomy · #Ballistic conduction #Boundary value problem #Condensed matter physics #Coupling (piping) #Electron #Lambda #Magnetic properties of thin films #Materials science #Physics #Physics of Superconductivity and Magnetism #Polarization (electrochemistry) #Quantum and electron transport phenomena #Quantum mechanics #Spin (aerodynamics) #Spin Hall effect #Spin polarization #Spin–orbit interaction #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevlett.99.106601
published in Physical Review Letters 99(10), 106601 (American Physical Society) · 4+ pages, 3 figures; final form, Dresselhaus coupling included
arxiv created 2007/09/07 · openalex publication_date 2007/09/07 · arxiv updated 2011/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Universal properties of the spin Hall effect in ballistic 2D electron systems are addressed. The net spin polarization across the edge of the conductor is second order, approximately lambda2, in spin-orbit coupling constant independent of the form of the boundary potential, with the contributions of normal and evanescent modes each being approximately radical lambda but of opposite signs. This general result is confirmed by the analytical solution for a hard-wall boundary, which also yields the detailed distribution of the local spin polarization. The latter shows fast (Friedel) oscillations with the spin-orbit coupling entering via the period of slow beatings only. Long-wavelength contributions of evanescent and normal modes exactly cancel each other in the spectral distribution of the local spin density.