Energy Band Structures of Semiconductors
It is well known that the physical properties of semiconductors are understood with the help of energy band structures. The energy states or energy band structures of electrons in crystals reflect the periodic potential of the crystals and they can be calculated when we know the exact shape and the magnitude of the crystal potentials. The shape and the magnitude of the potential are not determined directly from any experimental methods, and thus we have to calculate or estimate the energy bands by using the assumed potentials. Many different approaches to calculations of energy bands have been reported, but in this textbook we will deal with several methods, which are not so difficult to understand. We begin with the most simplified method to calculate electronic states in a model crystal.
KeywordsEnergy Band Brillouin Zone Fourier Coefficient Conduction Band Minimum Energy Band Structure
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The following references review the energy band structures and optical properties of semiconductors in detail and give a good introduction to semiconductor physics
- 1.1C. Kittel: Introduction to Solid State Physics, 7th edn. (John Wiley, New York, 1996)Google Scholar
- 1.2C. Kittel: Quantum Theory of Solids (John Wiley, New York, 1963)Google Scholar
- 1.3J. Callaway: Quantum Theory of the Solid State, 2 vols. (Academic Press, New York, 1974)Google Scholar
- 1.4W.A. Harrison: Electronic Structure and the Properties of Solids; The Physics of the Chemical Bond (W.H. Freeman, San Francisco, 1980)Google Scholar
- 1.5M. Cardona: Optical Properties and Band Structure ot Germanium and Zincblende-Type Semiconductors, In Proc. Int. School of Physics «Enrico Fermi», (Academic Press, New York, 1972) pp. 514–580Google Scholar
The following references will help readers to understand Chap. 1
- 1.6F. Bassani and G. Pastori Parravicini: Electronic States and Optical Transitions in Solids (Pergamon Press, New York, 1975)Google Scholar
- 1.7P. Yu and M. Cardona: Fundamentals of Semiconductors (Springer, Heidelberg, 1996)Google Scholar
- 1.15G.F. Koster, J.O. Dimmock, R.G. Wheeler and H. Statz: Properties of The Thirty-Two Point Groups (M.I.T. Press, Cambridge, MA, 1963)Google Scholar
The following references are cited in the text
- 1.17F.H. Pollak, C.W. Higginbotham and M. Cardona: J. Phys. Soc. Jpn. 21, Supplement (1966) 20Google Scholar