Frequency of the transition spectral line of an electron in quantum rods

• Published in: Journal of semiconductors Vol. 31; no. 9; pp. 5 - 9
• Main Author: 王贵文 肖景林
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.09.2010
• Subjects: 强耦合极化子; 激发态能量; 激发能量; 电子; 线性组合算符; 谱线; 过渡频率; 量子
• ISSN: 1674-4926
• DOI: 10.1088/1674-4926/31/9/092002

The Hamiltonian of a quantum rod with an ellipsoidal boundary is given after a coordinate transformation which changes the ellipsoidal boundary into a spherical one.We then study the first internal excited state energy,the excitation energy and the frequency of the transition spectral line between the first internal excited state and the ground state of the strong-coupling polaron in a quantum rod.The effects of the electron-phonon coupling strength,the aspect ratio of the ellipsoid,the transverse radius of quantum rods and the transverse and longitudinal effective confinement length are taken into consideration by using a linear combination operator and the unitary transformation methods.It is found that the first internal excited state energy,the excitation energy and the frequency of the transition spectral line are increasing functions of the electron-phonon coupling strength,whereas they are decreasing ones of the transverse radius of quantum rods and the aspect ratio.The first internal excited state energy,the excitation energy and the frequency of the transition spectral line increase with decreasing transverse and longitudinal effective confinement length.