$g$-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