Spontaneous breaking of Euclidean invariance oand classifications of topologically stable defects and configurations of crystals and crystals and liquid crystals

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/MICHEL/1964-1989/P_77_198/P_77_198.pdf

Michel, Louis

MICHEL

12/1977

Abstract : We show how many mesomorphic states illustrate the following general scheme: The symmetry group of an equilibrium state of Euclidean-invariant quantum statistical mechanics is a subgroup H of the Euclidean group E such that the orbit E/H is compact. Moreover, the homotopy groups of
E/H yield a classification of the topologically stable defects and configurations of these ordered media. This suggests a predictive value of this scheme for yet unobserved media and for defects.

THEORIE QUANTIQUE

P/77/198

©IHES

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MICHEL et KLEMAN, “Spontaneous breaking of Euclidean invariance oand classifications of topologically stable defects and configurations of crystals and crystals and liquid crystals,” Archives de l'IHES, consulté le 13 juin 2024, https://omeka.ihes.fr/document/P_77_198.pdf.