Influence of Rashba Effect on the Bound Magnetopolaron in an Anisotropic Quantum Dot

Using Pekar variational method, we studied the influence of Rashba effect on the bound magnetopolaron in an anisotropic quantum dot. The expression of the ground state energy of the bound magnetopolaron is obtained by theoretical derivation. Due to the influence of the Rashba effect, the ground state energy of the bound magnetopolaron splits into two branches. This phenomenon fully demonstrates that the influence of orbit and spin interaction in different directions on the energy of the polaron is not negligible. Because the contribution of the magnetic field cyclotron resonance frequency to the Rashba spin-orbit splitting is a positive value, the energy spacing becomes larger as the magnetic field cyclotron resonance frequency increases. Due to the presence of phonons and impurities, the polaron is more stable than the bare electron state, and the energy splitting is more stable.