Abstract
Electron transport in a magnetic field exhibits various interesting characteristics, which is called magnetotransport phenomena. In this chapter we deal with Hall effect, magnetoresistance, and oscillatory magnetoresistance effects in detail. Hall effect is very useful to determine the mobility and density of carriers. Shubnikov–de Haas oscillations are observed in degenerate semiconductors and provide the information of Fermi energy. Magnetophonon resonance arises from inter-Landau level transitions of nondegenerate electron gas and gives the effective mass. Once we know the effective mass we can deduce phonon energy involved with the magnetophonon magnetophonon resonance. These two oscillatory magnetoresistance effects are very widely used to investigate semiconductor parameters. Quantum Hall effect is not dealt with here but discussed in detail in Chap. 8.
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Notes
- 1.
In order to carry out the integration, we assume that the term to be integrated is a function of \(\varvec{k}\) and \(\varvec{q}\). We then differentiate it with respect to \(\varvec{k}\) and integrate the result with respect to \(\varvec{q}\), and then integrate it with respect to \(\varvec{k}\).
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Hamaguchi, C. (2017). Magnetotransport Phenomena. In: Basic Semiconductor Physics. Graduate Texts in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-66860-4_7
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