Abstract
We analyze orbital effects of an in-plane magnetic field on the spin structure of states of a gated quantum dot based in a two-dimensional electron gas. Starting with a Hamiltonian, we perturbatively calculate these effects for the conduction band of GaAs, up to the third power of the magnetic field. We quantify several corrections to the -tensor and reveal their relative importance. We find that for typical parameters, the Rashba spin-orbit term and the isotropic term, , give the largest contributions in magnitude. The in-plane anisotropy of the -factor is, on the other hand, dominated by the Dresselhaus spin-orbit term. At zero magnetic field, the total correction to the -factor is typically 5%–10% of its bulk value. In strong in-plane magnetic fields, the corrections are modified appreciably.
1 More- Received 12 August 2018
- Revised 29 October 2018
DOI:https://doi.org/10.1103/PhysRevB.98.195314
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