A quantum well is a potential well that confines particles in one dimension, forcing them to occupy a planar region. The width of this region is on the order of their de Broglie wavelength, leading to quantized subbands.

By doping the barrier of a quantum well with donor impurities, a two-dimensional electron gas (abbreviated 2DEG) can be formed. This quasi-two dimensional system has interesting properties at low temperature, exhibiting the quantum Hall effect.

Fabrication

Quantum wells are formed in semiconductors by having a material, like gallium arsenide sandwiched between two layers of a material with a wider bandgap, like aluminum arsenide . These structures can be grown by molecular beam epitaxy with control of the layer thickness down to monolayers.

Applications

Because of their quasi-two dimensional nature, electrons in quantum wells have a sharper density of states than bulk materials. As a result quantum wells are in wide use in diode lasers. They are also used to make HEMTs (High Electron Mobility Transistors), which are used in low-noise electronics.

See also

• Particle in a box