Abstract
In this chapter we present the basic definition of lattices, crystals, their symmetries, and the concept of reciprocal lattice, on which studies of electronic structure and transport are based. We also give a brief review of how group theory can be used to understand the physical properties of crystals.
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References
A. Bravais, Mémoire sur les systémes formés par les points distribués réguliérement sur un plan ou dans l’espace. J. Ecole Polytech. 19, 1 (1850) [English: Memoir 1, Crystallographic Society of America, 1949]
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M.S. Dresselhaus, G. Dresselhaus, A. Jorio, Group Theory: Application to the Physics of Condensed Matter (Springer, Berlin, 2008)
M. Tinkham, Group Theory and Quantum Mechanics (McGraw-Hill, New York, 1964)
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Fischetti, M.V., Vandenberghe, W.G. (2016). Crystals: Lattice, Reciprocal Lattice, and Symmetry. In: Advanced Physics of Electron Transport in Semiconductors and Nanostructures. Graduate Texts in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-01101-1_3
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DOI: https://doi.org/10.1007/978-3-319-01101-1_3
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