Influence of Temperature and Spin–Orbit Interaction on the Effective Mass of Polaron in an Anisotropic Quantum Dot

Abstract

Using Tokuda's improved linear combination operator method and variational technique, the expression of the effective mass of strong coupled polaron in an anisotropic quantum dot is derived. Due to the spin orbit interaction, the effective mass of polaron splits into two branches. The dependence of effective mass on temperature, electron-phonon coupling strength, transverse and longitudinal confinement lengths and velocity is discussed by numerical calculation. The effective mass of polaron is an increasing function of temperature and electron-phonon coupling strength, and a decreasing function of transverse confinement length, longitudinal confinement length, and velocity. The absolute value of spin splitting effective mass increases with the increase of temperature and spin orbit coupling parameter, and decreases with the increase of transverse confinement length, longitudinal confinement length and velocity. Due to the heavy hole characteristic, the spin splitting effective mass is negative.