Electronic higher multipoles in solids

Yoshio Kuramoto

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


This tutorial review discusses basic features of electronic multipoles and their ordering phenomena. Starting with classification of electric and magnetic higher multipoles under spherical symmetry, we proceed to two representative cases with strong spin-orbit interaction. First, staggered octupole orders in Ce1-xLaxB6 and SmRu4P12 are discussed using the crystalline electric field states. Secondly, a scalar component of even higher multipoles in Pr skutterudites is studied where ordering of fourth-rank tensor (hexadecapole) and sixth-rank one (hexacontatetrapole) has been observed. Possibility of a reentrant transition from the multipole ordered state is discussed. Briefly mentioned are multipole aspects of Pomeranchuk instability of itinerant electrons and collective motion of nucleus. It is argued that the multipoles provide a new framework to study the metal-insulator transition.

Original languageEnglish
Pages (from-to)77-96
Number of pages20
JournalProgress of Theoretical Physics Supplement
Issue number176
Publication statusPublished - 2008

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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