Band Gap in a Square Quantum Well

In summary, the band gap of a semiconducting material, such as GaAs, varies with its well width. This is because different materials have different band gaps, which can trap electrons and holes into the wells. The gap typically decreases as the well width increases. To determine the valence band, one can use band structure calculations, which can be found in literature. However, it may not be a straightforward process as it depends on the coordination number of elements within the unit cell.
  • #1
John.Blair571
2
0
How does a direct band gap (like that in GaAs) vary with its well width?
 
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  • #2
Different semiconducting material have different band gaps, that is the
reason why electrons and holes can be trapped into the wells.
I think your problem is the same as the examples from the elementary
quantum mechanics: square well or infinite well problems
Usually, the gap (the energy difference between the first bound state level for
the electron and the first bound state level for
the hole) will shrink with the increase of the well width.
 
  • #3
It has been easy to find literature for the calculation of the conduction band, but how does one determine the valence band? Is it by the same means, only with a different effective mass?
 
  • #4
Not sure if I've understood your question here. Aren't you really looking for the band structure calculations for a straightforward band semiconductor (as opposed to the more exotic Mott insulators, for example)? If you are, then (i) it really isn't this trivial and (ii) it should give you both the valence and conduction bands. So I'm not sure how you are able to find literature on the conduction band, but not on the valence band. I would imagine various computational methods once one knows the coordination number of various elements within the unit cell would be able to produce such band structures.

Zz.
 

Related to Band Gap in a Square Quantum Well

1. What is a "Band Gap" in a Square Quantum Well?

A band gap in a square quantum well refers to the energy difference between the valence band (where electrons are bound to atoms) and the conduction band (where electrons can move freely) in a confined region of a semiconductor material. In a square quantum well, the band gap is affected by the size and shape of the well, as well as the properties of the surrounding materials.

2. Why is the Band Gap important in a Square Quantum Well?

The band gap is important in a square quantum well because it determines the energy levels at which electrons can exist within the well. This, in turn, affects the electronic and optical properties of the material. By controlling the band gap, scientists can manipulate the behavior of electrons and create new functionalities for electronic and optoelectronic devices.

3. How does the Band Gap change in a Square Quantum Well compared to a bulk material?

In a square quantum well, the band gap can be smaller or larger than that of a bulk material, depending on the size and shape of the well. This is due to the quantum confinement effect, where the movement of electrons is restricted in the confined region, leading to changes in their energy levels. As the well size decreases, the band gap increases, and vice versa.

4. What factors affect the Band Gap in a Square Quantum Well?

Several factors can affect the band gap in a square quantum well, including the well size and shape, the materials used, and the surrounding electric field. Additionally, the temperature and strain on the material can also influence the band gap. These factors can be controlled through the design and fabrication of the well to achieve specific band gap values.

5. How is the Band Gap measured in a Square Quantum Well?

The band gap in a square quantum well can be measured using various spectroscopy techniques, such as photoluminescence, absorption, and Raman spectroscopy. These methods involve shining light on the material and measuring the energy of the emitted or absorbed photons. The band gap can also be calculated using theoretical models and simulations based on the properties of the well and surrounding materials.

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