Effects of an anisotropic parabolic potential and Coulomb's impurity potential on the energy characteristics of asymmetrical semi-exponential CsI quantum wells

Abstract

Because of its unique optoelectronic properties, people have studied the characteristics of polarons in various quantum well (QW) models. Among them, the asymmetrical semi-exponential QW (ASEQW) is a new model for studying the structure of QWs in recent years. It is of great significance to study the influences of the impurity and anisotropic parabolic confinement potential (APCP) on the crystal’s properties, because some of the impurities, usually regarded as Coulomb’s impurity potential (CIP), will exist in the crystal more or less, and the APCP has flexible adjustment parameters. However, the energy characteristics of the ASEQW under the combined actions of impurities and APCP have not been studied, which is the motivation of this paper. Using the linear combination operation and Lee–Low–Pines unitary transformation methods, we investigate the vibrational frequency and the ground state energy of the strong coupling polaron in an ASEQW with the influences of the CIP at the origin of coordinates and APCP, and make a comparison between our results and previous literature’s. Our numerical results about the energy properties in the ASEQW influenced by the CIP and APCP may have important significances for experimental design and device preparation.

The Impurity and Decay-Magnetic Polaron Effects in III–V Compound Gaussian Quantum Wells

“…In this section, we considered an electron confined in an AGCPQW that moves in a GaAs semiconductor crystal and interacts with bulk longitudinal optical (LO) phonons in a decay magnetic field. According to effective mass approximations, the electron-phonon system Hamiltonian in the presence of hydrogen-like impurities at the coordinate origin could be expressed as [19] ( ) ( )…”

“…Donmez et al [16] performed magnetotransport measurements to evaluate the influences of thermal annealing and Bi on the electronic transport characteristics of n-type modulation-doped AlGaAs/GaAsBi QWs. These research works evaluated the effects of different parameters, such as the magnetic field [17], electric field [18], hydrogen-like impurity field [19], temperature [20], and laser field [21], and found that only one or two of them had important influences on polarons in QWs.…”