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• W2500897918 abstract "By virtue of Kramers’ theorem, in the absence of an externally applied magnetic field, the energy levels of a system containing an odd number of electrons are, at least, doubly degenerate. In the band theory of solids the electrons are supposed to move in an effective periodic potential, its states being characterized by a band index v, a wave vector ( overrightarrow k ) confined within the fundamental Brillouin zone (BZ) and a spin quantum number. For each set of values of v and ( overrightarrow k ) there are two orthogonal spin states which wecall s and s’. Denoting the energy eigenvectors by |v,( overrightarrow k ),s> we have |v,( overrightarrow k ),s’|v,( overrightarrow k ),s>=δss’. The states |( overrightarrow k ),s> and |-( overrightarrow k ),s’> (we omit the band index for simplicity) are degeberate. If the crystal possesses a center of inversion |( overrightarrow k ),s> and |-( overrightarrow k ),s> are also degenerate. We conclude therefore that, in crystals with a center of inversion, there are, at least, two degenerate states at each point ( overrightarrow k ) in the BZ. Figure 1 shows schematically the energy as a function of ( overrightarrow k ) near ( overrightarrow k )=0 for the top of the valence band and the local minimum of the lowest conduction band in semiconductors having the diamond structure. Figure 2 shows the similar structure for zinc-blende semiconductors, in which the spin splittings have been grossly exaggerated. The symbols r stand for the usual irreducible representations generated by the Bloch states at k=0 using the notation of Koster et al. [1]. They correspond to the double valued representations of 0h for diamond and Td for zinc-blende.KeywordsElectron Spin ResonanceLandau LevelSpin Quantum NumberBand IndexInversion AsymmetryThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
• W2500897918 created "2016-08-23" @default.
• W2500897918 creator A5059983112 @default.
• W2500897918 date "1989-01-01" @default.
• W2500897918 modified "2023-09-25" @default.
• W2500897918 title "Inversion Asymmetry and Magneto-optics in Semiconductors" @default.
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• W2500897918 doi "https://doi.org/10.1007/978-3-642-83810-1_85" @default.
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