Hall effect for indirect excitons in an inhomogeneous magnetic field
K. B. Arnardottir, O. Kyriienko, I. A. Shelykh

TL;DR
This paper investigates how an inhomogeneous magnetic field influences the motion of 2D indirect excitons, revealing a Hall effect for neutral bosons due to an effective charge induced by magnetic field gradients.
Contribution
It introduces the concept that inhomogeneous magnetic fields induce an effective charge on indirect excitons, leading to a Hall effect observable via photoluminescence shifts.
Findings
Indirect excitons acquire an effective charge proportional to magnetic field gradient.
The Hall effect for neutral bosons can be detected through photoluminescence blueshift.
Magnetic field inhomogeneity influences exciton transport properties.
Abstract
We study the effect of non-homogeneous out-of-plane magnetic field on the behaviour of 2D spatially indirect excitons. Due to the difference of magnetic field acting on electrons and holes the total Lorentz force affecting the center of mass motion of an indirect exciton appears. Consequently, an indirect exciton acquires an effective charge proportional to the gradient of the magnetic field. The appearance of the Lorentz force causes the Hall effect for neutral bosons which can be detected by measurement of the spatially inhomogeneous blueshift of the photoluminescence using counter-flow experiment.
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