Diamagnetic susceptibility of hydrogenic donor impurity in a V-groove GaAs/Ga1-xAlxAs quantum wire

In this work, the diamagnetic susceptibility and the binding energy of a hydrogenic donor impurity both in the parabolic and non-parabolic conduction band models have been calculated within the effective mass approximation for a V-groove GaAs/Ga1-xAlxAs quantum wire. According to the results obtained from the present work reveals that (i) the value of diamagnetic susceptibility due to the non-parabolicity effect is higher than that of parabolicity effect; (ii) the values of diamagnetic susceptibility and binding energy due to the non-parabolicity effect is not appreciable at low Al mole fractions; (iii) the diamagnetic susceptibility approaches to the bulk value both in L\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\rightarrow$\end{document} 0 or L\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\rightarrow$\end{document}∞; (iv) the effect of non-parabolocity is not appreciable in the binding energy and energy dependent effective mass, for energies lower than 50 MeV.