Abstract: The influence of the interaction between phonons and the magnetic filed on the properties of the bound polaron in a semiconductor quantum dot is studied.The ground state energy of the bound magnetopolaron in a semiconductor quantum dot is derived using a linear combination operator and perturbation method.Considering the interaction between phonons of different wave vectors in the recoil process,the influences of the magnetic filed,the Coulomb bound potential,the electron-phonon coupling strength,the effective confinement length of a quantum dot and the interaction between phonons on the ground state energy of the bound magnetopolaron in a semiconductor quantum dot are discussed.Numerical calculation results show that when considering the interaction between phonons the ground state energy of the bound magnetopolaron in a semiconductor quantum dot will increase strongly with decreasing the effective confinement length of the quantum dot.When l₀＞0.7, the influence of the interaction between phonons on the ground state energy of the bound magnetopolaron in a semiconductor quantum dot can not be ignored in a quantum dot.

Key words: semiconductor quantum dot, bound magnetopolaron, interaction between phonons, Coulomb bound potential, ground state energy