The g-factors of discrete levels in nanoparticles

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Abstract
Spin-orbit scattering suppresses Zeeman splitting of individual energy levels in small metal particles. This suppression becomes significant when the spin-orbit scattering rate \tau_{so}^{-1} is comparable with the quantum level spacing \delta. The g-factor exhibits mesoscopic fluctuations; at small \delta\tau_{so} it is distributed according to the Maxwell distribution. At \delta\tau_{so}\to 0 the average g-factor levels off at a small value g\sim(l/L)^{1/2} given by the ratio of the electron mean free path l to the particle size L. On the contrary, in 2D quantum dots the g-factor is strongly enhanced by spin-orbit coupling.

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