Absence of Spin Glass Ordering in Some Random Spin Systems

Yukiyasu Ozeki, Hidetoshi Nishimori

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10 Citations (Scopus)


We discuss the improvement of the imperfect argument of Schuster for the absence of spin glass ordering at and below four dimensions in short-range continuous spin systems, and propose a condition for his method to be justified. Assuming satisfaction of the above condition, we apply the method to long-range interactions to reproduce the phase diagram drawn by a renormalization group approach. In particular the three-dimensional RKKY system is found to be at the lower critical dimension. Effects of exchange and uniaxial anisotropics are discussed. The latter anisotropy is shown not to induce transverse spin glass ordering if the system is not ordered in the xy-plane by the exchange interaction.

Original languageEnglish
Pages (from-to)4255-4264
Number of pages10
Journaljournal of the physical society of japan
Issue number12
Publication statusPublished - 1988 Jan 1
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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