Non-linear and dot-dependent Zeeman splitting in GaAs/AlGaAs quantum dot arrays
V.P. Michal, T. Fujita, T.A. Baart, J. Danon, C. Reichl, W., Wegscheider, L.M.K. Vandersypen, and Y.V. Nazarov

TL;DR
This paper investigates the non-linear and dot-dependent Zeeman splitting in GaAs/AlGaAs quantum dot arrays, revealing how spin-orbit effects and charge disorder influence spin manipulation for quantum information processing.
Contribution
It demonstrates the role of spin-orbit interactions and charge disorder in causing non-linear and position-dependent Zeeman splitting in quantum dots.
Findings
Non-linear Zeeman splitting observed in quantum dots.
Spin-orbit effects quantitatively explain the splitting behavior.
Charge disorder influences dot-to-dot variations and tunability.
Abstract
We study the Zeeman splitting in lateral quantum dots that are defined in GaAs-AlGaAs het- erostructures by means of split gates. We demonstrate a non-linear dependence of the splitting on magnetic field and its substantial variations from dot to dot and from heterostructure to het- erostructure. These phenomena are important in the context of information processing since the tunability and dot-dependence of the Zeeman splitting allow for a selective manipulation of spins. We show that spin-orbit effects related to the GaAs band structure quantitatively explain the ob- served magnitude of the non-linear dependence of the Zeeman splitting. Furthermore, spin-orbit effects result in a dependence of the Zeeman splitting on predominantly the out-of-plane quantum dot confinement energy. We also show that the variations of the confinement energy due to charge disorder in the heterostructure…
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