TY - CHAP
T1 - Antisymmetry
T2 - Fundamentals and Applications
AU - Padmanabhan, Hari
AU - Munro, Jason M.
AU - Dabo, Ismaila
AU - Gopalan, Venkatraman
N1 - Publisher Copyright:
© 2020 Annual Reviews Inc.. All rights reserved.
PY - 2020/7/1
Y1 - 2020/7/1
N2 - Symmetry is fundamental to understanding our physical world. An antisymmetry operation switches between two different states of a trait, such as two time states, position states, charge states, spin states, or chemical species. This review covers the fundamental concepts of antisymmetry and focuses on four antisymmetries, namely, spatial inversion in point groups, time reversal, distortion reversal, and wedge reversion. The distinction between classical and quantum mechanical descriptions of time reversal is presented. Applications of these antisymmetriesmdashin crystallography, diffraction, determining the form of property tensors, classifying distortion pathways in transition state theory, finding minimum energy pathways, diffusion, magnetic structures and properties, ferroelectric and multiferroic switching, classifying physical properties in arbitrary dimensions, and antisymmetry-protected topological phenomenamdashare described.
AB - Symmetry is fundamental to understanding our physical world. An antisymmetry operation switches between two different states of a trait, such as two time states, position states, charge states, spin states, or chemical species. This review covers the fundamental concepts of antisymmetry and focuses on four antisymmetries, namely, spatial inversion in point groups, time reversal, distortion reversal, and wedge reversion. The distinction between classical and quantum mechanical descriptions of time reversal is presented. Applications of these antisymmetriesmdashin crystallography, diffraction, determining the form of property tensors, classifying distortion pathways in transition state theory, finding minimum energy pathways, diffusion, magnetic structures and properties, ferroelectric and multiferroic switching, classifying physical properties in arbitrary dimensions, and antisymmetry-protected topological phenomenamdashare described.
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U2 - 10.1146/annurev-matsci-100219-101404
DO - 10.1146/annurev-matsci-100219-101404
M3 - Chapter
AN - SCOPUS:85087901595
T3 - Annual Review of Materials Research
SP - 255
EP - 281
BT - Annual Review of Materials Research
PB - Annual Reviews Inc.
ER -