Fröhlich polaron in nanowire with Rashba and Dresselhaus spin-orbit couplings

We use the Lee-Low-Pines variational method to clarify the effects of the spin-orbit couplings on the properties of the quasi-one-dimensional Fröhlich polaron in the weak and intermediate coupling limits of the electron-phonon interaction. Polaron energy and polaron shift are investigated numerically and analytic expressions for the polaron self-energy and effective mass are obtained as functions of the spin-orbit coupling parameters. We have shown that the basic parameters of the polaron in nanowire can be effectively manipulated by the Rashba and Dresselhaus spin-orbit couplings, and thus they can be used for controlling the various physical processes in nanowires.