A proposal for the measurement of Rashba and Dresselhaus spin-orbit interaction strengths in a single sample

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

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4 pages, 5 figures

Scientific paper

A tight-binding model of a mesoscopic ring is considered, in which both the Rashba and Dresselhaus spin-orbit interactions are present, but only in a subsection of the ring's perimeter. We exploit a hidden symmetry in the Hamiltonian to show that the spin current, as measured in the interaction-free zone of the ring's periphery, vanishes when the strength of the Dresselhaus interaction becomes equal to the strength of the Rashba term. As the latter is controllable via a gate voltage, the disappearance of the spin current gives a unique method to measure the strength of the Dresselhaus interaction. On the other hand, if the latter is already known, the former can be estimated using the same proposal. Our calculations are exact. We present numerical evaluation of the persistent spin current which support our analytical findings. The results are sustained even in the case of a disordered ring. An experiment in this regard will thus be challenging.

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