Ferromagnetic Ising spin systems on the growing random tree

Takehisa Hasegawa, Koji Nemoto

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


We analyze the ferromagnetic Ising model on a scale-free tree; the growing random tree model with the linear attachment kernel Ak =k+α. We derive an estimate of the divergent temperature Ts below which the zero-field susceptibility of the system diverges. Our result shows that Ts is related to α as tanh (J/ Ts) =α/ [2 (α+1)], where J is the ferromagnetic interaction. An analysis of exactly solvable limit for the model and numerical calculation supports the validity of this estimate.

Original languageEnglish
Article number026126
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number2
Publication statusPublished - 2009 Aug 26
Externally publishedYes

ASJC Scopus subject areas

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


Dive into the research topics of 'Ferromagnetic Ising spin systems on the growing random tree'. Together they form a unique fingerprint.

Cite this