Multicritical points for spin-glass models on hierarchical lattices

Masayuki Ohzeki, Hidetoshi Nishimori, A. Nihat Berker

Research output: Contribution to journalArticlepeer-review

35 Citations (Scopus)


The locations of multicritical points on many hierarchical lattices are numerically investigated by the renormalization group analysis. The results are compared with an analytical conjecture derived by using the duality, the gauge symmetry, and the replica method. We find that the conjecture does not give the exact answer but leads to locations slightly away from the numerically reliable data. We propose an improved conjecture to give more precise predictions of the multicritical points than the conventional one. This improvement is inspired by a different point of view coming from the ren0ormalization group and succeeds in deriving very consistent answers with many numerical data.

Original languageEnglish
Article number061116
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number6
Publication statusPublished - 2008 Jun 12
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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