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Published on: April 12, 2018
Quantized electron states in nearly depleted hexagonal nanowires.
Christian Fisker1, Thomas G Pedersen
1Department of Physics and Nanotechnology, Aalborg University, Skjernvej 4a, DK-9220 Aalborg Øst, Denmark.
Nanotechnology
|July 7, 2011
Summary
This study models hexagonal quantum wells (QWs) for nanowires, revealing how donor impurities and deformations alter their energy spectra. Increasing impurity density makes the hexagonal QW behave like a parabolic one, while deformations cause significant eigenvalue shifts.
Area of Science:
- Condensed Matter Physics
- Nanotechnology
- Quantum Mechanics
Background:
- Hexagonal quantum wells (QWs) serve as models for hexagonal nanowires.
- Understanding the impact of impurities and geometric variations is crucial for nanowire applications.
Purpose of the Study:
- To investigate the effects of donor impurities and geometric deformations on hexagonal QWs.
- To model hexagonal nanowires using hexagonal QWs.
Main Methods:
- Solving the Poisson equation to determine the donor potential.
- Analyzing the eigenspectrum of hexagonal QWs under varying conditions.
Main Results:
- The eigenspectrum of hexagonal QWs converges to that of a parabolic QW with increasing donor density.
- Small geometric deformations lead to significant changes and splittings in the eigenspectrum.
- Analytical approximations for potential and eigenfunctions on deformed hexagons were derived.
Conclusions:
- Donor impurities and geometric deformations play critical roles in tuning the electronic properties of hexagonal QWs.
- The findings provide insights into the behavior of hexagonal nanowires and offer tools for their design.
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