Polaron effect on the low-lying states of a three-electron quantum dot in a magnetic field

Three interacting electrons confined to a quantum dot are considered in a perpendicular magnetic field. By using an exact numerical diagonalization scheme, the polaron effect on the low-lying spectrum of a three-electron quantum dot with a confined parabolic potential is investigated. Discontinuous ground-state energy transitions induced by the magnetic field are reported for the total electrons’ spins $S=\frac{1}{2}$ and $S=\frac{3}{2},$ respectively. Furthermore, the effect of stronger electron–longitudinal-optical-phonon coupling strengths on the energy spectrum can be predicted.