Theory of the Effect of a Magnetic Field on the Absorption Edge in Semiconductors

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, , Citation R J Elliott et al 1958 Proc. Phys. Soc. 72 553 DOI 10.1088/0370-1328/72/4/310

This article is corrected by 1959 Proc. Phys. Soc. 73 976

0370-1328/72/4/553

Abstract

A magnetic field splits up electron energy bands in a solid into a series of sub-bands. The absorption edge which arises from transitions between two such bands across an energy gap then shows a structure from transitions between the various sub-bands. The shape of this structure is considered for direct transitions between simple spherical bands, spheroidal bands and degenerate bands. This often takes the form of a series of peaks from which the effective masses of the bands can be determined, but there are cases in which the effect of the field is less dramatic and forms a series of steps. Absorption from indirect transitions involving phonons also forms a series of steps.

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10.1088/0370-1328/72/4/310