Publication details for Prof Richard AbramColes, R A , Abram, R A , Brand, S & Burt, M G (1999). Dipole matrix elements and the nature of charge oscillation under coherent interband excitation in quantum wells. Physical Review B 60(19): 13306-13309.
- Publication type: Journal papers: academic
- ISSN/ISBN: 1098-0121, 1550-235X
- DOI: 10.1103/PhysRevB.60.13306
- View online: Online version
- Durham research online: DRO record
Author(s) from Durham
An empirical pseudopotential method is used to model two type-I quantum-well systems, allowing the investigation of interband dipole-matrix elements and charge oscillation under coherent optical excitation. Each relevant (microscopically varying) wave function is expressed as an exact envelope-function expansion to which various approximations are made, in analogy with envelope-function methods such as the k⋅p model. The approximation to the quantum-well energy eigenfunctions of a single envelope function multiplying a band-edge zone-center state, the “atomic picture,” is shown to underestimate by orders of magnitude the interband dipole-matrix element. Including terms due to the second band edge, which play only a minor role in the exact envelope-function expansion, provides a good approximation to the true dipole-matrix element, which is significantly greater than the atomic picture predicts. In addition, the effect on the interband charge oscillation of omitting the second band-edge terms is shown to be a reduction of the oscillation from the width of the well to the atomic scale. These results confirm that the earlier results of Burt hold for realistic three-dimensional systems.