Geodesic
Elements of Topological Band Theory in Condensed Matter Physics
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 47 (2022), p. 85 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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Band theory of crystals, essentially Bloch theory of periodic systems combined with single-particle approximation, is a scene of detailed and essential analysis of the band topology by means of application of full crystal group symmetry and combinatorial graph theoretical methods, eventually yielding topological classification of gapped band structures. Here we give an introduction to the field by summarizing the symmetry based techniques used in the band topology considerations.
Classification : 55R50, 20C07, 05C50
Keywords: band topology, symmetry, band representations, topological matter 
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     author = {Milan Damnjanovi\'c and Ivanka Milo\v{s}evi\'c},
     title = {Elements of {Topological} {Band} {Theory} in {Condensed} {Matter} {Physics}},
     journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
     pages = {85 },
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Milan Damnjanović; Ivanka Milošević. Elements of Topological Band Theory in Condensed Matter Physics. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 47 (2022), p. 85 . http://geodesic.mathdoc.fr/item/BASS_2022_47_a5/