Semiclassical approach for spin dephasing in a quasi-one-dimensional channel

We derived the spin dephasing time taking Rashba and Dresselhaus spin- orbit interactions (SOI) into account in a quasi-one-dimensional (1D) system. Our analytical solution based on the semiclassical model describes temporal decay of the ensemble-averaged spin polarization, stability of the persistent spin helix state, and anisotropic spin dephasing in a quasi-1D channel, including the limit of a two-dimensional system. We herein proposed quantitative estimation of the cubic Dresselhaus SOI as well as other SOIs by optical measurement of the crystal orientation dependence of spin dephasing time in quasi-1D wires. The analytical approach shows good agreement with the Monte Carlo simulation.