Effect of spin-orbit interactions on an off-center D0 impurity in an asymmetric quantum dot under a magnetic field

We evaluate the ground state energy of an off-centre Coulomb impurity in an asymmetric Gaussian GaAs quantum dot under a constant magnetic field. Using a unitary transformation, we take into account the combined effect of the Rashba and Dresselhaus interactions treating the coupling terms up to quadratic order. We next treat the transformed Hamiltonian using a variational approach with a suitable ansatz. The findings reveal that the ground state energy increases with growing impurity distance from the confinement centre and with increasing potential asymmetry. Finally, we examine how the asymmetry in the Gaussian confinement influences the magnetic moment and susceptibility of the impurity.

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