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Semi-empirical modelling of SiGe hetero-structures

Authors: Elder, Warren James;

Semi-empirical modelling of SiGe hetero-structures

Abstract

The k . p perturbation method, initially developed for bulk systems has subsequently been generalised to model heterostructures using the envelope function approximation. This semi-empirical modelling technique provides vital information on the electronic and optical properties of complicated material systems that form heterostructures. It is known that k . p theory can be formulated in two ways; either through use of single or double group basis functions, with the implication that spin orbit interaction is either treated as a perturbation in parallel with the k . p term, or as part of the unperturbed Hamiltonian. The critical difference between the two approaches is that under the former, single group selection rules are considered in the evaluation of the k-dependent Hamiltonian, and the subsequent treatment of spin orbit interaction as a perturbation places restrictions on the adapted double group bases. Under the latter approach, double group selection rules are considered, resulting in an explicit change in the k-dependent Hamiltonian for multiband models of 14-band models or higher, and implicit changes to material parameters describing lower band models. A key result, is the ability of the double group formulated k . π theory to properly account for the experimentally measured spin orbit band and conduction band effective masses. This in particular leads to a change in the bulk valence band dispersion relation. In heterostructures, double group-effective mass equations result in changes to the operator ordered Hamiltonian, and the use of double group material parameters impacts the confinement energies and in-plane dispersion of subbands in a quantum well. An investigation is made into the impact of these changes on the electronic properties of Ge/SiGe heterostructures, which have applications as optical modulator devices.

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United Kingdom
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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