Abstract
We theoretically study the low temperature electron transport propertiesof a weak Rashba spin-orbit coupling (SOC) semiconductor quantum wireconnected nonadiabatically to two electrode leads without SOC. The wireand the leads are defined by a parabolic confining potential, and theinfluence of both the wire-lead connection and the Rashba SOC on theelectron transport is treated analytically by means of scattering matrixwithin effective free-electron approximation. From analytical analysisand numerical examples, we find that the system shows some fractionalquantum conductance behaviour, and for some particular wire width a purespin polarized current exists. Our result may imply a simple method forthe design of a spin filter without involving any magnetic materials ormagnetic fields.
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