Abstract
A fundamental issue in solid state physics is the structure of the electronic states. Transport, magnetic and optical properties, as well as the very nature (metal, insulator or semiconductor) of the crystals, are indeed controlled by the arrangement of the energy levels.
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Notes
- 1.
As already mentioned (Sect. 7.1) several relevant phenomena belonging to the realm of solid state physics, for instance electrical resistivity and superconductivity, require to go beyond the adiabatic approximation.
- 2.
The translational invariance can be broken by defects, free surfaces or by the vibrational motions of the ions. In this respect, it should be observed that, at variance with the states in molecules, here the k-electron states are very close in energy and the vibrational motions of the ions may cause variation of the electron state. These processes contribute to the electrical resistivity (see Sect. 13.4 for remarks on these aspects).
Specific References and Further Reading
J.C. Slater, Quantum Theory of Matter, (McGraw-Hill, New York, 1968).
J.S. Blakemore, Solid State Physics, (W.B. Saunders Co., 1974).
M. Alonso and E.J. Finn, Fundamental University Physics Vol. III- Quantum and Statistical Physics, (Addison Wesley, 1973).
N.W. Ashcroft and N.D. Mermin, Solid State Physics, (Holt, Rinehart and Winston, 1976).
G. Burns, Solid State Physics, (Academic Press Inc., 1985).
H.J. Goldsmid (Editor), Problems in Solid State Physics, (Pion Limited, London, 1972).
G. Grosso and G. Pastori Parravicini, Solid State Physics, 2\(^{\rm nd}\) Edition, (Academic Press, 2013).
H. Ibach and H. Lüth, Solid State Physics: an Introduction to Theory and Experiments, Springer Verlag (1990).
C. Kittel, Introduction to Solid State Physics, 8\(^{\rm th}\) Edition, (J. Wiley and Sons, 2005).
H. Kuzmany, Solid-State Spectroscopy, (Springer-Verlag, Berlin, 1998).
L. Mihály and M.C. Martin, Solid State Physics - Problems and Solutions, (J. Wiley, 1996).
J.M. Ziman, Principles of the Theory of Solids, (Cambridge University Press, 1964).
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Rigamonti, A., Carretta, P. (2015). Electron States in Crystals. In: Structure of Matter. UNITEXT for Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-17897-4_12
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