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Density of States & Dimensionality (0D, 1D, 2D, 3D, Screenshot (1065) …
Density of States & Dimensionality (0D, 1D, 2D, 3D
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3D DOS
Diagram: Parabolic DOS curve 
Formula:
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Description : Free in all directions, electrons behave like free electron gas
2D DOS
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• Diagram: Infinite well in z direction.
Formula:
Applications: 2DEG in MOSFETs, graphene (with linear DOS).
0D DOS
Example system: Nanocrystals, artificial atoms
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Diagram : small dot with quantized energy
1D DOS
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Diagram: Long wire; step-like DOS curve.
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Description: Confinement in one direction, free in two
References
Kittel, C.(1987). Quantum size effects in low-dimensional systems. Reviews of Modern Physics, 59(1), 59-74
Sze, S.M., & Ng, K.K. (2006). Semiconductor device physics: A review. IEEE Transactions on Electron Devices, 53(6), 1231-1244
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Yu, P. Y., & Cardona, M. (2010). Electronic states and optical transitions in semiconductors. Journal of Applied Physics, 107(6), 061101
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Kittel, C. (2005). Introduction to solid state physics (8th ed.). Wiley
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