Exact results on spin glass models

Hidetoshi Nishimori

研究成果: Conference article

6 引用 (Scopus)


Exact and/or rigorous results are reviewed for the Ising and XY/Villain spin glasses in finite dimensions, such as the exact energy, correlation identities and a functional relation between the distribution functions of ferromagnetic and spin glass order parameters. This last relation is useful to prove that the phase space is not complex on a line in the phase diagram. The spin wave theory neglecting periodicity is shown to give exact results for the Villain model on a line in the phase diagram. Implications of this fact on the renormalization-group results for the random-phase XY/Villain model in two dimensions are discussed.

ジャーナルPhysica A: Statistical Mechanics and its Applications
出版物ステータスPublished - 2002 4 1
イベント21th IUPAP Conference on Invited Papares (STATPHYS 21) - Cancun, Mexico
継続期間: 2001 7 152001 7 21

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

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