Effects of magnetic field on the Rashba spin–orbit interaction in an asymmetry quantum well

The effects of a magnetic field on the Rashba spin–orbit interaction in an asymmetry quantum well is theoretically studied, and the expression of the ground state energy of the magnetopolaron is obtained within Pekar variational method. The ground state energy of the magnetopolaron splits into two branches due to the Rashba effect, and the energy splitting appears saturated state with the increase of the well width. Because the contribution of the magnetic field cyclotron resonance frequency to the Rashba spin–orbit splitting is a positive value, the energy splitting distance becomes larger as the magnetic field cyclotron resonance frequency increases. Due to the spin–orbit interaction, the energy splits at zero magnetic field. The total energy is reduced due to the existence of phonons. Therefore, the polaron state is more stable than the bare electron state, and the polaron energy splitting is more stable.