The effects of spin-orbit scattering on discrete electronic energy levels are studied in copper, silver, and gold nanoparticles. Level-to-level fluctuations of the effective $g$-factor for Zeeman splitting are characterized, and the statistics are found to be well-described by random matrix theory predictions. The strength of spin-orbit scattering increases with atomic number and also varies between nanoparticles made of the same metal. The spin-orbit scattering rates in the nanoparticles are in order-of-magnitude agreement with bulk measurements on disordered samples.
Categories: cond-mat.mes-hall