g -factor of electrons in gate-defined quantum dots in a strong in-plane magnetic field

-factor of electrons in gate-defined quantum dots in a strong in-plane magnetic field},
  author={Peter Stano and Chen-Hsuan Hsu and Marcel Serina and Leon C. Camenzind and Dominik M. Zumbuhl and Daniel Loss},
  journal={Physical Review B},
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 $k\ifmmode\cdot\else\textperiodcentered\fi{}p$ 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 $g$-tensor and reveal their relative importance. We find that for typical parameters, the Rashba spin-orbit… 
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