Simple Metals and Semiconductors Revisited
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Starting from the JM and introducing pseudopotentials, we show how the band structure of monovalent, divalent, trivalent, and tetravalent metals and tetravalent semiconductors is shaped up. For semiconductors, the detailed form of the pseudopotential is given, and the disappearance of the Fermi surface (or equivalently, the opening of the gap) is described; furthermore, their mechanical, magnetic, optical, and transport properties are briefly examined. The band structure of two very important systems, the silicon dioxide and the graphene, is calculated in the framework of the LCAO. Finally, for the developing field of organic semiconductors, a brief outline is given.
KeywordsFermi Level Band Structure Fermi Surface Organic Semiconductor Primitive Cell
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- References to the books by Burns [SS77], Papaconstantopoulos [SS81], Ashcroft and Mermin [SS75], and Yu and Cardona [Se119], regarding specific topics were given in the text. The Yu and Cardona book [Se119] treats the magnetoresistance in semiconductors, pp. 232–237, and the exciton topic, pp. 276–292 in details.Google Scholar
- In Harrison’s book [SS76] the topics of energy, pp. 167–178, elastic constants, pp. 180–200, and magnetic susceptibility, pp. 419–422, in semiconductors are treated in more detail than here; in the same book, more information regarding SiO2 can be found (pp. 257–287).Google Scholar
- Some recent (2008) references regarding organic semiconductors follow: 1. S.S. Sun, N.S. Sariciftci, Organic Photovoltaics: mechanisms, materials and devices (Taylor and Francis, Boca Raton, FL, 2005) 2. G. Malliaras, R. Friend, Physics Today, May 2005, p. 53 3. J.Y. Kim et al., Science 317, 222 (2007) 4. P. Peumans, S.R. Forrest, Chem. Phys. Lett. 398, 27 (2004) 5. M.L. Tang et al., J. Am. Chem. Soc. 128, 16002 (2006)Google Scholar