Is the magnetic field necessary for the Aharonov-Bohm effect in mesoscopics?
I.D. Vagner (1), A.S. Rozhavsky (1,2), P. Wyder (1), A.Yu. Zyuzin, (1,3) ((1) Grenoble High Magnetic Field Laboratory, MPI-FKF,CNRS (2) B.I., Verkin Inst.for Low Temp. Physics, Engineering, Kharkov, Ukraine, (3) A.F., Ioffe Physico-Technical Institute, St. - Peterburg, Russia)

TL;DR
This paper predicts a new topological mesoscopic phenomenon where Aharonov-Bohm-like oscillations occur without an external magnetic field, driven by nuclear spin populations and spin-orbit interactions in GaAs/AlGaAs rings.
Contribution
It introduces a novel mechanism for Aharonov-Bohm-like effects that do not require magnetic fields, based on nuclear spin populations and spin-orbit coupling.
Findings
Aharonov-Bohm-like oscillations can occur without external magnetic fields.
Persistent currents oscillate in time due to nuclear spin and spin-orbit effects.
Topologically nontrivial nuclear spin states enable new mesoscopic phenomena.
Abstract
A new class of topological mesoscopic phenomena in absence of external magnetic field (meso-nucleo-spinics)is predicted, which is based on combined action of the nonequilibrium nuclear spin population and charge carriers spin-orbit interaction . As an example, we show that Aharonov-Bohm like oscillations of the persistent current in GaAs/AlGaAs based mesoscopic rings may exist, in the absence of the external magnetic field, provided that a topologically nontrivial strongly nonequilibrium nuclear spin population is created. This phenomenon is due to the breaking, via the spin-orbit coupling, of the clock wise - anti clock wise symmetry of the charge carriers momentum, which results in the oscillatory in time persistent current.
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