Anisotropic electron g factor in quantum dots with spin-orbit interaction

$g$-factor tuning of electrons in quantum dots is studied as a function of in-plane and perpendicular magnetic fields for different confinements. Rashba and Dresselhaus effects are considered, and comparison is made between wide and narrow-gap materials. The interplay between external magnetic fields and intrinsic spin-orbit couplings is analyzed, with two distinct phases found in the spectrum for GaAs in perpendicular field. The anisotropy of the $g$ factor is reported, and good agreement with available experimental findings is obtained.