Fluctuation Effects on the Quadrupolar Ordering in Magnetic Field

Noboru Fukushima, Yoshio Kuramoto

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52 Citations (Scopus)


Effects of magnetic field on the quadrupolar ordering are investigated with inclusion of fluctuation of order parameters. For the simplest model with the nearest-neighbor quadrupolar interaction, the transition temperature and the specific heat are derived by the use of the recently proposed effective medium theory. It is shown that magnetic field H has two competing effects on the quadrupolar ordering; one is to encourage the ordering by suppressing the fluctuation among different components of order parameters, and the other is to block the ordering as in antiferromagnets. The former is found to be of order H2 and the latter of order H4. Hence the fluctuation is suppressed for weak fields, and the transition temperature increases with magnetic field. The fluctuation effect is so strong that the entropy released at the quadrupolar ordering is only about a quarter of the full value ln 4 even without the Kondo effect.

Original languageEnglish
Pages (from-to)2460-2468
Number of pages9
Journaljournal of the physical society of japan
Issue number7
Publication statusPublished - 1998 Jul


  • CeB
  • Effective medium
  • Heisenberg model
  • Phase diagram
  • Quadrupole moment
  • Specific heat
  • Spherical model
  • TmTe

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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