LAUSR

Abstract By using the Lee-Low-Pines unitary transformation and the Pekar type variational method, we studied Rashba effects on the first excited state of the bound polarons in a quantum pseudodot. In the paper, we have derived the energy of the first excited state of the polaron, which is a function of the electron-LO phonon coupling strength, the wave vector, the constraint size, the chemical potential and the Coulomb bound potential. According to the theoretical analysis, we get the following conclusions: The first excited state energy increases with the wave vector and the chemical potential increasing, and decreases with the increase of the electron-LO phonon coupling strength and the constraint size rising. And when the condition is different, the law of change of the first excited state energy of the polaron with the Coulomb bound potential is different. Under the influence of the Rashba spin-orbit interaction, the first excited state energy splits into different branches. Relatively, the Rashba effect is obviously affected by the constraint size.