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Updated: Aug 28, 2025

Cross-Modal Multivariate Pattern Analysis
Published on: November 9, 2011
Generalization of microscopic multipoles and cross-correlated phenomena by their orderings
Hiroaki Kusunose1, Satoru Hayami2
1Department of Physics, Meiji University, Kawasaki 214-8571, Japan.
Abstract:
The generalization of the atomic-scale multipoles is discussed. By introducing the augmented multipoles defined in the hybrid orbitals or in the site/bond-cluster, any of electronic degrees of freedom can be expressed in accordance with the crystallographic point group. These multipoles are useful to describe the cross-correlated phenomena, band-structure deformation, and generation of effective spin-orbit coupling due to antiferromagnetic ordering in a systematic and comprehensive manner. Such a symmetry-adapted multipole basis set could be a promising descriptor for materials design and informatics.
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