Confined states in ellipsoidal quantum dots
- 5 October 2000
- journal article
- Published by IOP Publishing in Journal of Physics: Condensed Matter
- Vol. 12 (42) , 9019-9036
- https://doi.org/10.1088/0953-8984/12/42/308
Abstract
We study the motion of a particle confined in an ellipsoidal quantum dot, solving the corresponding Schrödinger equation both numerically, using the appropriate coordinate system, and variationally. The results from the two methods are compared, varying the ellipsoid semi-axes. We find that the confined-state energies split with respect to those of the spherical quantum dot and this can be explained as a consequence of both a volume-induced deformation effect and a geometry-induced one. The role of the dot geometry is shown to be relevant also for the formation of topological surface states.Keywords
This publication has 27 references indexed in Scilit:
- The present status of quantum dot lasersPhysica E: Low-dimensional Systems and Nanostructures, 1999
- Atomically precise quantum dots fabricated by two-fold cleaved edge overgrowth: from artificial atoms to moleculesPhysica E: Low-dimensional Systems and Nanostructures, 1998
- Silicon single-electron quantum-dot transistor switch operating at room temperatureApplied Physics Letters, 1998
- Quantum Confinement and Optical Gaps in Si NanocrystalsPhysical Review Letters, 1997
- Comment on “Size Dependence of Excitons in Silicon Nanocrystals”Physical Review Letters, 1996
- Size Dependence of Excitons in Silicon NanocrystalsPhysical Review Letters, 1995
- Electronic Structure Pseudopotential Calculations of Large (.apprx.1000 Atoms) Si Quantum DotsThe Journal of Physical Chemistry, 1994
- Low-dimensional systems: quantum size effects and electronic properties of semiconductor microcrystallites (zero-dimensional systems) and some quasi-two-dimensional systemsAdvances in Physics, 1993
- Electronic structure and optical properties of silicon crystallites: Application to porous siliconApplied Physics Letters, 1992
- Superlattice band structure in the envelope-function approximationPhysical Review B, 1981