Optical, magnetic, and transport properties of a quantum well heterostructure under the influence of boundary conditions

Abstract

The magneto-optical transport (MOT) properties of a heterostructure Pöschl–Teller symmetric quantum well (PTSQW) under the effect of the boundary condition are studied. The phonon confinement models proposed by Knipp and Reinecke, Huang and Zhu, Fuchs and Kliewer, and Ridley and Babiker are considered in HgS and GaAs materials. The profile and operator projection approaches are utilized to compute the MOT properties, which include the full width at half maximum (FWHM) and the absorption power (AP). Our main result is depicted as follows: The FWHM values for the confining phonon absorption case are consistently greater than those for the confining phonon emission case in both HgS and GaAs. The FWHM values in HgS are consistently greater than those in GaAs for both the confining phonon emission and absorption cases. The MOT properties of HgS material are more dominant than those of the GaAs one when taking phonon confinement into account. The use of both electromagnetic and lattice dynamics boundary conditions (BC) simultaneously best describes the e–p interaction in PTSQW heterostructure. The electromagnetic BC is the most significant and cannot be disregarded in confined phonon models. The hydrodynamic BC is unsuitable for studying e–p interaction in QW heterostructure. In addition to the electromagnetic and lattice dynamics BCs, the additional use of the orthogonal BC of optical phonon modes for all values of $\overrightarrow{k}$ has only a modest effect on the description of the e–p interaction in QW heterostructure. Our findings agree well with the reported theoretical (Bhat et al., 1994) and experimental (Tatham et al., 1989; Seilmeier et al., 1987) pieces of evidence.