Local magnetic field distributions. II. Further results

T. C. Choy, David Sherrington, M. Thomsen, M. F. Thorpe

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


The concept and character of the local magnetic field distribution P(h), developed in an earlier paper, is extended to higher space and spin dimensions and to several special but spatially periodic systems, disorder being the subject of a future paper. For Ising spins on standard lattices, P(h) is shown to have a shape which is dimension dependent but relatively coordination independent. While in two dimensions (2D) P(h) has a dip at h=0 at Tc, in 3D it is extremely flat near the origin, in 4D it is pseudo-Gaussian, while in all dimensions it is qualitatively similar to a discrete form of the corresponding universal block-spin probability function. Bethe lattices, studied for all spin dimensions, are shown to be quite different. Results are also presented for P(h) and the ground-state degeneracies of some one-dimensional frustrated systems exhibiting high-degeneracy disorder points.

Original languageEnglish (US)
Pages (from-to)7355-7367
Number of pages13
JournalPhysical Review B
Issue number11
StatePublished - 1985
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics


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