Classification of atomic-scale multipoles under crystallographic point groups and application to linear response tensors

• Hayami, Satoru

• Yatsushiro, Megumi

• Yanagi, Yuki

• Kusunose, Hiroaki

抄録

Four types of atomic-scale multipoles (electric, magnetic, magnetic toroidal, and electric toroidal multipoles) give a complete set to describe arbitrary degrees of freedom for coupled charge, spin, and orbital of electrons. We here present a systematic classification of these multipole degrees of freedom towards the application in condensed matter physics. Starting from the multipole description under the rotation group in real space, we generalize the concept of multipoles in momentum space with the spin degree of freedom. We show how multipoles affect the electronic band structure and linear responses, such as the magnetoelectric effect, magnetocurrent (magnetogyrotropic) effect, spin conductivity, piezoelectric effect, and so on. Moreover, we exhibit a complete table to represent the active multipoles under 32 crystallographic point groups. Our comprehensive and systematic analyses will give a foundation to identify enigmatic electronic order parameters and a guide to evaluate peculiar cross-correlated phenomena in condensed matter physics from the microscopic point of view.

収録刊行物

• Physical Review B

  Physical Review B 98 (16), 165110-, 2018-10-08

  American Physical Society (APS)

キーワード

• Order parameters
• Spin-orbit coupling
• Crystaline systems
• Multiferroics
• Crystal-field theory
• Group theory
• Symmetries in condensed matter

詳細情報

• CRID: 1050845763984833792
• NII論文ID: 120006539253
• DOI: 10.1103/physrevb.98.165110
• ISSN: 24699969
• ISSN: 24699950
• HANDLE: 2115/72031
• Web Site: https://link.aps.org/article/10.1103/PhysRevB.98.165110
• Web Site: http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevB.98.165110/fulltext
• 本文言語コード: en
• 資料種別: journal article
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