Superlattices and Other Heterostructures: Symmetry and by Professor Eougenious L. Ivchenko, Professor Grigory Pikus

By Professor Eougenious L. Ivchenko, Professor Grigory Pikus (auth.)

Superlattices and different Heterostructures offers with the optical houses of superlattices and quantum good buildings with emphasis on phenomena ruled by way of crystal symmetries. After a quick creation to team conception and symmetries, tools for calculating spectra of electrons, excitons, and phonons in heterostructures are discussed.
Further chapters hide absorption and mirrored image of sunshine less than interband transitions, cyclotron and electron spin-resonance, mild scattering by means of unfastened and certain companies in addition to by way of optical and acoustic phonons, polarized photoluminescence, optical spin orientation of electrons and excitons, and nonlinear optical and photogalvanic results.

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Superlattices and Other Heterostructures: Symmetry and Optical Phenomena

Superlattices and different Heterostructures bargains with the optical homes of superlattices and quantum good constructions with emphasis on phenomena ruled by means of crystal symmetries. After a short advent to staff conception and symmetries, equipment for calculating spectra of electrons, excitons, and phonons in heterostructures are mentioned.

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6-9,11) in 1t being replaced by -1t, and k by -k. It should he pointed out that the wave functions of holes 1/1~ are related to the corresponding electron wave functions 1/1~, through the expression 1/1~ = K 1/1~, where K denotes the time inversion operation. 14) 44 3 Electron Spectrum in Crystals, Quantum Wells and Superlattices includes both the external fields defined by the scalar potential cp and vector potential A, and the periodic crystal potential Vo(x). 14), go is the g-factor of the free electron and J,tB, the Bohr magneton.

With such a choice, all matrices D(g) are also real. , no unitary transformation can make them real, although the characters X (g) are real. , it doubles the degeneracy. , X*(g) =1= X(g), or equivalent (case c). 30) hold. It is therefore essential to know how to distinguish between these two cases. 31) - case b, - case c. For conventional representations of point groups, all representations with real characters relate to case a, whereas representations with complex characters, to case b, and are combined pairwise.

37) The theory of symmetry provides the possibility of establishing which of the Vi} components vanish, determining the number of linearly independent components, and finding the relation between the linearly dependent components. In many cases, the linearly independent components can be derived from a comparison with experiment, after which practically all the required data are obtained based only on symmetry considerations. To solve this problem, one has to know the irreducible representations, according to which the wave functions 1/Ii and 1/Ij and the operator components VI transform.

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