Percolation of the minority spins in high-dimensional Ising models

M. Aizenman, J. Bricmont, J. L. Lebowitz

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


We present some new results on the region in the β-h plane where the + spins percolate for the nearest neighbor Ising model. In particular, it is shown that in high enough dimensions d there is percolation of the minority spins at inverse temperatures β<β+ with some β+c, for which β+/gbc≥1/2log(cd), c a constant.

Original languageEnglish (US)
Pages (from-to)859-865
Number of pages7
JournalJournal of Statistical Physics
Issue number3-4
StatePublished - Nov 1987
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


  • Correlated percolation
  • Ising model
  • Peierls argument
  • minority spins


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