Abstract
Noninteracting electrons confined to a corrugated surface are considered in the presence of magnetic field, and the effective Pauli equation is given in the thin-layer quantization formalism. We find that the Zeeman splitting gaps are considerably affected by the corrugations. Furthermore, the spin transport on the corrugated surface is numerically calculated for GaAs material by transfer matrix method. And we find that the spin polarization is substantially influenced by the corrugations when the incident energy takes small values. As a potential application, the corrugations can be used to design a spin transistor with small incident energy.
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