The semiclassical path integral (SPI) method has been applied for studying spin relaxation in a narrow 2D strip with the Rashba spin-orbit interaction. Our numerical calculations show a good agreement with the experimental data, although some features of experimental results are not clear yet. We also calculated the relaxation of a uniform spin-density distribution in the ballistic regime of very narrow wires. With the decreasing wire width, the spin polarization exhibits a transition from the exponential decay to the oscillatory Bessel-like relaxation. The SPI method has been also employed to calculate the relaxation of the particularly long-lived helix mode. A good agreement has been found with calculations based on the diffusion theory.
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