Study of the transition from resonance to bound states in quantum dots
embedded on a nanowire using the $\mathbf{k}\cdot\mathbf{p}$ method
- URL: http://arxiv.org/abs/2207.05206v1
- Date: Mon, 11 Jul 2022 21:47:32 GMT
- Title: Study of the transition from resonance to bound states in quantum dots
embedded on a nanowire using the $\mathbf{k}\cdot\mathbf{p}$ method
- Authors: Natalia Giovenale and Omar Osenda}
- Abstract summary: We study the band structure of semiconductor nanowires with quantum dots embedded in them.
The band structure is calculated using the Rayleigh-Ritz variational method.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We study the band structure of semiconductor nanowires with quantum dots
embedded in them. The band structure is calculated using the Rayleigh-Ritz
variational method. We consider quantum dots of two different types, one type
is defined by electrostatic potentials applied to the nanowire, while the other
one is defined by adding materials with band offsets with respect to the band
parameters of the nanowire. We are particularly interested in the appearance of
discrete energy levels in the gap between the conduction band and the valence
band of the nanostructure, and in the dependence of the energy of these levels
with the intensity of a magnetic field applied along the wire. It is shown that
several scenarios are possible, being of particular interest the possibility of
transforming states of the discrete into resonances and vice versa.
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