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We study the nonlinear classical dynamics of an electron confined in a doubledot potential and subjected to a spin-orbit coupling and a constant externalmagnetic field. It is shown that due to the spin orbit coupling, the energy canbe transferred from the spin to the orbital motion. This naturally heats up theorbital motion which, due to the presence of the separatrix line in the phasespace of the system, results in a motion of the electron between the dots. Itis shown that depending on the strength of the spin orbit coupling and theenergy of the system, the electronic orbital motion undergoes a transition fromthe regular to the chaotic regime.

Chaotic spin-dependent electron dynamics in a field-driven double dot potential