Symmetry and classification of energy bands in crystals

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/MICHEL/1964-1989/P_87_42/P_87_42.pdf

Michel, Louis

MICHEL

10/1987

To appear in Proceedings XVth International Colloquium on Group Theretical Methods in Physics (Varna, June 1987)

Abstract : An energy band in a solid contains an infinite number of states which transform linearly as a space group representation induced from a finite dimensional representation of the isotropy group of a point in space. A band representation is elementary if it cannot be decomposed as a direct sum of band representations; it describes a single band. We give a complete classification of the inequivalent elementary band representations.

SOLIDES

P/87/42

©IHES

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MICHEL, BACRY, et ZAK, “Symmetry and classification of energy bands in crystals,” Archives de l'IHES, consulté le 23 avril 2025, https://omeka.ihes.fr/document/P_87_42.pdf.