Influence of Aspect Ratio on the Lowest States of Quantum Rods

Lew Yan Voon, L.C., Melnik, R.V.N., Lassen, B. and Willatzen, M.

Nano Letters, 4(2), 289--292, 2004


The nature of the lowest states in a quantum rod is studied as a function of aspect ratio using a four-band Burt-Foreman model. Contrary to earlier work, the aspect ratio at crossing is found to be shape but not size dependent, and it is shown that the nonseparability and multiband nature of the problem leads to a complex ground-state envelope function and also to the phenomenon of level crossing. The intrinsic difference between the valence states of a quantum rod and those of a quantum wire is demonstrated.