Quantum Wells, Wires and Dots

Quantum dot (pyramid)

Pyramidal shaped quantum dot

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

Quantum dot molecule

Quantum dot molecule

What you can learn:
  • 3D simulation, quantum dot, applying an electric field, performing an electric field sweep
  • Schrödinger equation in 3D

Coupled quantum wires

Qubit manipulation 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

AlGaInP on GaAs


Band gap of strained AlGaInP on GaAs substrate

What you can learn:
  • alloys, linearly graded alloys, bowing, strain, band gaps
  • strain equation


wurtzite band edge

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

Optical absorption of a quantum well

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

Core-shell nanowires

2DEG in a hexagonal core-shell nanowire

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

Broken gap quantum well

InAs/GaSb superlattice

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

More Examples here