Magnetic field and temperature dependence of the effective mass of strong-coupling bound magnetopolaron in quantum rods with hydrogenic impurity

Abstract

Magnetic field and temperature dependence of the properties of strong-coupling bound magnetopolarons in quantum rods (QRs) with hydrogenic impurity is studied by means of the Tokuda improved linear combination operator method, Lee-Low-Pines transformation method and quantum statistical theory. The expressions for the effective mass and the vibrational frequency of magnetopolarons are derived. Results of numerical calculations show that the effective mass and the vibrational frequency of magnetopolarons increase with increasing the cyclotron frequency of the magnetic field, the confinement strength of QRs, the electron–phonon coupling strength and the dielectric constant ratio, but decrease with increasing the aspect ratio of QRs and the temperature; the quantum size effects caused by the ellipsoidal structure and the parabolic confinement potential of QRs have significant influence on the changes of the effective mass and the vibrational frequency of magnetopolarons.