Symmetry and classification of energy bands in crystals

Michel, Louis



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.




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MICHEL, BACRY, et ZAK, “Symmetry and classification of energy bands in crystals,” Archives de l'IHES, consulté le 25 juin 2024,