The ability to change the energy-level structure of the gain medium through material and structure design is one of the unique properties of semiconductor lasers. To take full advantage of this capability, one needs to be able to predict the band structure that results from a particular material and structure combination. In this chapter and the following, we show a procedure for performing band-structure calculations that are relevant to the laser physicist.
KeywordsOrbital Angular Momentum Schrodinger Equation Bulk Band Band Struc Bloch Theorem
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Much of the material discussed in this chapter can be found in many solid state physics textbooks and review articles, e.g.,
- Altarelli, M. (1985), p. 12 in Heterojunctions and Semiconductor Superlattices, Eds. G. Allan, G. Bastard, N. Boccara, M. Lannoo, and M. Voos, Springer-Verlag, Berlin.Google Scholar
- Ashcroft, N. W. and N. D. Mermin (1976), Solid State Physics, Saunders College (HRW), Philadelphia.Google Scholar
- Bastard, G. (1988), Wave Mechanics Applied to Semiconductor Heterostructures, Les Editions de Physique, Paris.Google Scholar
- Callaway, J. (1974), Quantum Theory of the Solid State, Part A, Academic Press, New York.Google Scholar
- Kane, E. O. (1966), Semiconductors and Semimetals, edited by R. K. Willardson and A. C. Beer, Academic, New York, p. 75.Google Scholar
- Kittel, C. (1971), Introduction to Solid State Physics, Wiley & Sons, New YorkGoogle Scholar
- Kittel, C. (1967) Quantum Theory of Solids, Wiley & Sons, New York.Google Scholar
The spin-orbit coupling scheme is discussed, e.g., in
- Schiff, L. (1968), Quantum Mechanics, McGraw-Hill, New York. Chap. 12.Google Scholar
A large number of material parameters for many semiconductors can be found in
- Landolt-Börnstein (1982), Numerical Data and Functional Relationships in Science and Technology, ed. K. H. Hellwege, Vol. 17 Semiconductors, edited by O. Madelung, M. Schulz, and H. Weiss, Springer-Verlag, Berlin.Google Scholar