Quantum Wells, Wires and Dots

Energy levels in a pyramidal shaped InAs/GaAs quantum dot including strain and piezoelectric fields

What you can learn:

• 3D simulation, quantum dot, strain, piezoelectric fields
• Strain equation, Poisson equation, Schrödinger equation in 3D

Quantum dot molecule

What you can learn:

• 3D simulation, quantum dot, applying an electric field, performing an electric field sweep
• Schrödinger equation in 3D

• Nanocrystals (spherical quantum dots)
• Energy levels in idealistic 3D cubic and cuboidal shaped quantum dots
• Exciton and biexciton correction in idealistic 3D cubic quantum dots
• Energy levels in a pyramidal shaped InAs/GaAs quantum dot including strain and piezoelectric fields
• Hexagonal shaped GaN quantum dot embedded in AlN (wurtzite)

Coupled quantum wires
One-dimensional electron transport in combination with wavefunction engineering has been proposed for the use in solid state quantum information processing. An example of such a system is studied in this tutorial:
Vertically coupled quantum wires in a longitudinal magnetic field

Band gap of strained AlGaInP on GaAs substrate

What you can learn:

• alloys, linearly graded alloys, bowing, strain, band gaps
• strain equation

GaN/AlN wurtzite structure: Strain, piezo and pyroelectric charges in wurtzite

What you can learn:

• wurtzite, strain, piezoelectricity, pyroelectricity
• strain equation, Poisson equation

Optical absorption of a quantum well - Diploma thesis documentation available

What you can learn:

• 8-band k·p, optical absorption
• 8-band k·p equation

1. Schrödinger equation of a two-dimensional core-shell structure
2. Hexagonal 2DEG - Two-dimensional electron gas in a delta-doped hexagonal shaped GaAs/AlGaAs nanowire heterostructure

What you can learn:

• 2D simulations, circular and hexagonal quantum confinement, core-shell nanowires, sweep over alloy concentrations and core radius, interband transitions (spatial overlap matrix elements)
• Schrödinger equation in 2D, self-consistent Schrödinger-Poisson equation in 2D

InAs / GaSb broken gap quantum well (BGQW) (type-II band alignment)

What you can learn:

• 1D simulation, 8-band k·p, broken gap, type-II band alignment
• 8-band k·p equation

Poisson-Boltzmann equation: The Gouy-Chapman solution

Si/SiGe MODQW (Modulation Doped Quantum Well)