Griffiths-McCoy singularities, Lee-Yang zeros, and the cavity method in a solvable diluted ferromagnet

C. Laumann, A. Scardicchio, Shivaji Lal Sondhi

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

We study the diluted Ising ferromagnet on the Bethe lattice as a case study for the application of the cavity method to problems with Griffiths-McCoy singularities. Specifically, we are able to make much progress at infinite coupling where we compute, from the cavity method, the density of Lee-Yang zeros in the paramagnetic Griffiths region as well as the properties of the phase transition to the ferromagnet. This phase transition is itself of a Griffiths-McCoy character albeit with a power law distribution of cluster sizes.

Original languageEnglish (US)
Article number061139
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume77
Issue number6
DOIs
StatePublished - Jun 27 2008

All Science Journal Classification (ASJC) codes

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

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