$g$-factors and discrete energy level velocities in nanoparticles

ORAL

Abstract

We establish relations between the statistics of $g$ factors and the fluctuations of energy in metallic nanoparticles where spin-orbit coupling is present. These relations assume that the electron dynamics in the grain is chaotic. The expressions we provide connect the second moment of the $g$ factor to the root-mean square ``level velocity'' (the derivative of the energy with respect to magnetic field) calculated at magnetic fields larger than a characteristic correlation field. Our predictions relate readily observable quantities and allow for a parameter-free comparison with experiments.

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Authors

  • Eduardo R. Mucciolo

    University of Central Florida, Department of Physics, University of Central Florida

  • Caio H. Lewenkopf

    Universidade Estadual do Rio de Janeiro

  • Leonid Glazman

    University of Minnesota, W.I. Fine Theoretical Physics Institute, University of Minnesota, William I. Fine Theoretical Physics Institute and School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455, USA