Spin geometric-phases in hopping magnetoconductance

Abstract

We identify theoretically the geometric phases of the electrons' spin that can be detected in measurements of charge and spin transport through Aharonov-Bohm interferometers threaded by a magnetic flux $\Phi$ (in units of the flux quantum) in which both the Rashba spin-orbit and Zeeman interactions are active. We show that the combined effect of these two interactions is to produce a $\sin (\Phi )$ [in addition to the usual $\cos (\Phi )$] dependence of the magnetoconductance, whose amplitude is proportional to the Zeeman field. Therefore the magnetoconductance, though an even function of the magnetic field is not a periodic function of it, and the widely-used concept of a phase shift in the Aharonov-Bohm oscillations, as indicated in previous work, is not applicable. We find the directions of the spin-polarizations in the system, and show that in general the spin currents are not conserved, implying the generation of magnetization in the terminals attached to the interferometer.

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Cited by in corpus (8)

• Magnetoconductance Anisotropies and Aharonov-Casher Phases
• Topological states and interplay between spin-orbit and Zeeman interactions in a spinful Su-Schrieffer-Heeger nanowire
• Photovoltaic effect generated by spin-orbit interactions
• Effects of magnetic fields on the Datta-Das spin field-effect transistor
• Topological charge and spin pumping in a semiconductor nanowire
• Thermoelectric performance of nano junctions subjected to microwave driven spin-orbit coupling
• Spin qubit shuttling between coupled quantum dots with inhomogeneous Landé g-tensors
• Floquet topological properties in the Non-Hermitian long-range system with complex hopping amplitudes