DRM-MD Approach For Bound Electron States
In Semiconductor Nano-wires
Author(s)
R. Gospavic, V. Popov & G. Todorovic
Abstract
Using the boundary element dual reciprocity method-multi domain (DRM-MD),
bound electron states and the corresponding wave functions in semiconductor
quantum wires embedded in a matrix were considered. The single circular and
rectangular as well as the two near circular quantum wires were analysed. In the
case of two coupled quantum wires, the dependence of the resulting wave
function and eigenenergies as a function of the distance between wires was
calculated. The DRM-MD gave a linear electron state model and the developed
numerical approach accurately captured the symmetry breaking and splitting of
the degenerated energy states due to the presence of additional wire. According
to the symmetry of the structures a suitable mesh reduction was employed and
different modes were considered separately. For a case of hetero structures,
domain decomposition was used.
Keywords: dual-reciprocity-method, bound states, wave function, quantum wire.
1 Introduction
The semiconductor nanostructures due to their unique physical properties have
wide range of potential applications in electronic and optoelectronic devices [1–
5]. Latest advances in fabrication technology of semiconductors make it possible
to obtain nanostructures in a controllable way and with a wide range of
geometries and shapes [6–8], which resulted in a tremendous increase of research
interests in nanotechnology and nanostructures in recent years.
As the dimensions of these devices approach nano-scales, quantum effects
become significant and quantum mechanical treatment of the problem is
Keywords
dual-reciprocity-method, bound states, wave function, quantum wire.
Related Book
Other papers in this volume
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