Critical behavior of the planar magnet model in three dimensions

Kwangsik Nho, Efstratios Manousakis

Research output: Contribution to journalArticle

12 Scopus citations


We study the critical behavior of the three-dimensional planar magnet model in which each spin is considered to have three components of which only the x and y components are coupled. We use a hybrid Monte Carlo algorithm in which a single-cluster update is combined with the over-relaxation and Metropolis spin reorientation algorithm. Periodic boundary conditions were applied in all directions. We have calculated the fourth-order cumulant in finite-size lattices using the single-histogram reweighting method. Using finite-size scaling theory, we obtained the critical temperature which is very different from that of the usual (Formula presented) model. At the critical temperature, we calculated the susceptibility and the magnetization on lattices of size up to (Formula presented). Using finite-size scaling theory we accurately determine the critical exponents of the model and find that (Formula presented) (Formula presented), and (Formula presented). Thus we conclude that the model belongs to the same universality class with the (Formula presented) model, as expected.

Original languageEnglish (US)
Pages (from-to)11575-11578
Number of pages4
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number17
StatePublished - Jan 1 1999
Externally publishedYes

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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