Effect of electric and magnetic fields on the binding energy of the Coulomb impurity bound polaron in a quantum dot

The interplay between confinement effects due to applied electric and magnetic fields, quantum-size confinements, and the electron–phonon coupling on the impurity binding energy is analysed. Analytical expression for polaron energy has been obtained as a function of the QD sizes, intensities of the applied fields, and the position of the impurity in the QD. The corrections on impurity binding energy due to the LO phonons are found to be very important and cannot be neglected.