Abstract
In the presence of a periodic potential electrons are no longer described by the simple free electron dispersion law ε=ħ2k2/2m. The electronic spectrum is divided into energy bands, and there is an arbitrary function \( {\varepsilon _n}\left( {\vec k} \right)\) describing the dispersion law for the nth energy band. The presence of a dc magnetic field can actually lead to transitions from one band to another. This effect is known as magnetic breakthrough, and it occurs only for bands separated by very small energy gaps in the presence of a large applied magnetic field. We shall ignore this effect in our treatment of mag-netoplasma effects in solids1.
Supported in part by the National Science Foundation, the Office of Naval Research, and the Materials Research Program at Brown University funded through the National Science Foundation.
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Footnotes and References
There are a number of excellent reviews of magnetoplasma effects in solids. Among them are: P.M. Platzman and P.J. Wolff “Waves and Interactions in Solid State Plasmas,” Solid State Physics-Supplement 13, Eds. H. Ehrenreich, F. Seitz and D. Turnbull, Academic Press, New York (1973)
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Quinn, J.J. (1980). Magnetoplasma Effects in Solids. In: Devreese, J.T. (eds) Theoretical Aspects and New Developments in Magneto-Optics. Nato Advanced Study Institutes Series, vol 60. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0454-6_2
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