Study of the properties of strong-coupling magnetopolaron in quantum disks induced by the Rashba spin-orbit interaction

On the basis of Lee-Low-Pines unitary transformation, the properties of strong-coupling magnetopolarons in quantum disks (QDs) induced by the Rashba spin-orbit interaction are studied using the Tokuda improved linearly combined operator method. Results show that the state properties of magnetopolarons are closely linked with the sign of the interaction energy E-int, and the E-int of magnetopolarons changes with the transverse confinement strength omega(0), the cyclotron frequency of the external magnetic field omega(c), the electron-LO phonon coupling strength alpha, and the thickness L of QDs. The average number (N) over bar of phonons increases with increasing omega(c), omega(0) and alpha, but the oscillation decreases with increasing thickness L of QDs. The effective mass m(0)* of magnetopolarons splits into two (m(+)* and m(-)*), induced by the Rashba spin-orbit interaction, and the values of them increase with increasing omega(c), omega(0) and alpha, but the oscillation decreases with increasing thickness L of QDs. For the ground state of magnetopolarons in QDs, the electron-LO phonon interaction plays a significant role, meanwhile, the Rashba spin-orbit coupling effect cannot be ignored. Only for the lower volocity of the electrons, can the polaron effect and the Rashba spin-orbit interaction effect on the magnetopolaron be obvious.