Density of states for a light-hole exciton in a microtube of GaAs/AlGaAs with two quantum well and different potential shape: theoretical model

2nd International Meeting for Researchers in Materials and Plasma Technology

物理学;材料科学

Barrios, A.D.^1 ; Barba-Ortega, J.^2 ; González, J.D.^1,2

Grupo Teoría de la Materia Condensada, Universidad Del Magdalena, Santa Marta, Colombia^1

Departamento de Física, Universidad Nacional de Colombia, Bogotá, Colombia^2

关键词: Aluminium concentration;    Arbitrary correlation;    Confinement potential;    Correlation function;    Electron-hole separation;    Ground state wavefunctions;    Ground-state energies;    Theoretical modeling;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/466/1/012030/pdf
DOI  :  10.1088/1742-6596/466/1/012030

学科分类：材料科学（综合）

来源: IOP

【 摘 要 】

We consider a simple method for calculating the ground-state energy of light hole exciton and density of states confined in a microtube of GaAs/AlGaAs recently fabricated and studied experimentally, with a double quantum well and large radius of curvature. The exciton trial function is taken as a product of the ground state wave functions of both the unbound electron and hole in the heterostructure, with an arbitrary correlation function that depends only on electron-hole separation. A renormalized Schrodinger equation for the correlation function is derived and coincides with the corresponding equation for a hydrogen atom in an effective and space-isotropic homogeneous. The binding energy of the ground state to an exciton in this heterostructure, the contribution to the energy given by the sublevels and the density of states is determined as a function of the width of the well, the aluminium concentration and confinement potential profile is obtained by solving the equation calculated by the variational model proposed.