Parabolic Potential and Temperature Effects on the Magnetopolaron in a RbCl Asymmetrical Semi-exponential Quantum Well

Abstract

The ground state energy (GSE), ground state binding energy (GSBE), vibrational frequency (VF) and the mean number of LO phonons (MNLOP) of the strong-coupling magnetopolaron in an asymmetrical semi-exponential quantum well are studied theoretically under uniform magnetic field along the $z$ direction. The anisotropic parabolic potential and asymmetrical semi-exponential confinement potential effects on the GSE, the GSBE, the VF and the MNLOP are acquired with the Lee-Low-Pines unitary transformation and linear combination operation method. The temperature properties of the GSE, the GSBE, the VF and the MLOPN of the strongly coupled polaron in asymmetrical semi-exponential quantum well is studied by using the quantum statistical theory. The changes of the GSE, the GSBE, the VF and MLOPN versus temperature and cyclotron frequency in a magnetic field were discussed. It is observed from the figures that the GSE, the GSBE, the VF and the MNLOP of the strong-coupling magnetopolaron in an asymmetrical semi-exponential quantum wells are an enlarging function of the parameter $U_{0}$, whereas it elevates with decaying the other parameter $\sigma$. The GSE, the GSBE, the VF and the MNLOP of strong-coupling magnetopolaron rapidly increase with the increase of the confinement strengths of an anisotropic parabolic potential in the x and y directions. The GSE, the GSBE, the VF and the MNLOP of the strong-coupling magnetopolaron rapidly increase with the decrease of the effective confinement lengths of an anisotropic parabolic potential in the x and y directions. The GSE, the GSBE, the VF and the MNLOP of the strong-coupling magnetopolaron rapidly increase with increasing the cyclotron frequency of magnetic field. The GSE and the GSBE of the strong-coupling magnetopolaron increase by decreasing the temperature, whereas the VF and the MNLOP increase by increasing the temperature.