Nonequilibrium orbital magnetization of strongly localized electrons
Y. Galperin (1, 2), O. Entin-Wohlman (3) ((1) Department of, Physics, University of Oslo, Oslo, Norway, (2) A. F. Ioffe Physico-Technical, Institute RAS, St. Petersburg, Russia, (3) School of Physics, Astronomy,, Raymond, Beverly Sackler Faculty of Exact Sciences

TL;DR
This paper investigates the dynamic orbital magnetization of strongly localized electrons under time-varying conditions, revealing how tunneling, phonon interactions, and quantum interference influence magnetic responses.
Contribution
It provides a novel analytical expression for the orbital magnetic moment considering non-steady-state conditions and quantum interference effects in localized electron systems.
Findings
Orbital magnetization depends on frequency and temperature.
Quantum interference contributes an adiabatic term to the magnetization.
Tunneling and phonon-assisted hopping are key to magnetic response.
Abstract
The magnetic response of strongly localized electrons to a time-dependent vector potential is considered. The orbital magnetic moment of the system, away from steady-state conditions, is obtained. The expression involves the tunneling and phonon-assisted hopping currents between localized states. The frequency and temperature dependence of the orbital magnetization is analyzed as function of the admittances connecting localized levels. It is shown that quantum interference of the localized wave functions contributes to the moment a term which follows adiabatically the time-dependent perturbation.
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