Abstract
We generalized the semiclassical path integral method originally used in the D’yakonov–Perel’ mechanism to study the spin relaxation of the Elliott–Yafet mechanism in low-dimensional systems. In quantum wells, the spin properties calculated by this method confirmed the experimental results. In two-dimensional narrow wires, size and impurity effects on the Elliott–Yafet relaxation were predicted, including the wire-width-dependent relaxation time, the polarization evolution on the sample boundaries, and the relaxation behavior during the diffusive–ballistic transition. These properties were compared with those of the D’yakonov–Perel’ relaxation calculated under similar conditions. For ballistic narrow wires, we derived an exact relation between the Elliott–Yafet relaxation time and the wire width, which confirmed the above simulations.
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