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Perhaps almost as important as the density of states of a 3D semiconductor, the density of states of a 2D semiconductor (also known as a quantum well) can be found in a very similar way. By counting the number of states in 'k-space', you can determine a variety of properties of a quantum well - in particular the electron concentration.
This is part of my graduate series on optoelectronics / photonics, and is based primarily on Coldren's book on Lasers as well as graduate-level coursework I have taken in the EECS department at UC Berkeley.
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