Unified description of electronic orderings and cross correlations by complete multipole representation
arxiv(2024)
摘要
We overview recent developments of electronic orderings and associated cross
correlations in condensed matter physics based on a complete set of multipole
representations (electric, magnetic, electric toroidal, and magnetic toroidal
multipoles) with distinct space-time inversion symmetries. By means of the
symmetry-adapted complete basis set in any physical Hilbert space including
atomic and cluster degrees of freedom, it provides a unified description of
electronic orderings, deformations of band structures, cross correlations, and
transport properties in solids. We review that a multipole representation is a
powerful tool to attain a comprehensive understanding of various electronic
properties and physical phenomena observed in materials. We also demonstrate
how to identify active multipoles and expected physical phenomena in real
materials with several examples. Our review would serve as a solid foundation
for future studies toward observations and identifications of unknown
electronic phases and their related physical phenomena.
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