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Revisiting the Topological Classification of Defects in Crystals by Nivedita; Gupta, Anurag is a scholarly article available to read on EtoBox.

What is Revisiting the Topological Classification of Defects in Crystals about?

A general theory of topological classification of defects is introduced. We illustrate the application of tools from algebraic topology, including homotopy and cohomology groups, to classify defects including several explicit calculations for crystals in $\mathbb{R}^2$, $S^2$, 2-dimensional cylinder, 2-dimensional annulus, and 2-tori. A set of physically motivated assumptions is formulated in order to justify the classification process and also to expose certain inherent inconsistencies in the considered methodology, particularly for crystal lattices.

Author

Nivedita; Gupta, Anurag

Published

2021

Language

EN