Abstract
We study the spin-splitting energies in low-potential-barrier quantum dots, finding splitting energies that are orbital state dependent. The theoretical analysis is done with a generalization of the Fock-Darwin states in the presence of spin-orbit interactions. We discuss experimental evidence indicating that the Rashba interaction strength in vertical In${}_{x}$Ga${}_{1\ensuremath{-}x}$As/GaAs quantum dots is in the range 80 meV \AA{} $\ensuremath{\leqslant}{\ensuremath{\lambda}}_{R}\ensuremath{\leqslant}$ 120 meV \AA{}. This enhanced spin-orbit interaction can be understood from the high penetration of the electron wave function into the quantum well with low-potential barrier.
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