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Symmetry properties of the polarizability matrix of an inhomogeneous electron gas

  • Physics of Semiconductors and Dielectrics
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Abstract

The properties of the polarizability matrix of an inhomogeneous electron gas in nonconducting crystals, are subjected to group-theoretical analysis. The analytical properties of the eigenvalues and eigenvectors of the polarization operator (intrinsic polarizabilities and intrinsic densities) are discussed. It is shown that intrinsic densities transformed with respect to the vector representation of the point symmetry group of the crystal are excited in an external homogeneous electrical field. The acoustic sum rule for a dielectric matrix is obtained as a consequence of invariance relative to an infinitely small shift of space.

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Authors and Affiliations

  1. V. D. Kuznetsov Siberian Physicotechnical Institute, Tomsk State University, USSR

    V. G. Tyuterev

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  1. V. G. Tyuterev
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 84–89, June, 1989.

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Tyuterev, V.G. Symmetry properties of the polarizability matrix of an inhomogeneous electron gas. Soviet Physics Journal 32, 479–483 (1989). https://doi.org/10.1007/BF00898637

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  • DOI: https://doi.org/10.1007/BF00898637

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