Local magnetic field distributions. II. Further results

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

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

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
Volume31
Issue number11
DOIs
StatePublished - 1985
Externally publishedYes

Fingerprint

Time varying systems
Ground state
Magnetic fields
magnetic fields
disorders
ground state

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Choy, T. C., Sherrington, D., Thomsen, M., & Thorpe, M. (1985). Local magnetic field distributions. II. Further results. Physical Review B, 31(11), 7355-7367. https://doi.org/10.1103/PhysRevB.31.7355

Local magnetic field distributions. II. Further results. / Choy, T. C.; Sherrington, David; Thomsen, M.; Thorpe, Michael.

In: Physical Review B, Vol. 31, No. 11, 1985, p. 7355-7367.

Research output: Contribution to journalArticle

Choy, TC, Sherrington, D, Thomsen, M & Thorpe, M 1985, 'Local magnetic field distributions. II. Further results', Physical Review B, vol. 31, no. 11, pp. 7355-7367. https://doi.org/10.1103/PhysRevB.31.7355
Choy, T. C. ; Sherrington, David ; Thomsen, M. ; Thorpe, Michael. / Local magnetic field distributions. II. Further results. In: Physical Review B. 1985 ; Vol. 31, No. 11. pp. 7355-7367.
@article{f3bf96ca16b14ff2bed4950a417d06f1,
title = "Local magnetic field distributions. II. Further results",
abstract = "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.",
author = "Choy, {T. C.} and David Sherrington and M. Thomsen and Michael Thorpe",
year = "1985",
doi = "10.1103/PhysRevB.31.7355",
language = "English (US)",
volume = "31",
pages = "7355--7367",
journal = "Physical Review B-Condensed Matter",
issn = "0163-1829",
publisher = "American Institute of Physics Publising LLC",
number = "11",

}

TY - JOUR

T1 - Local magnetic field distributions. II. Further results

AU - Choy, T. C.

AU - Sherrington, David

AU - Thomsen, M.

AU - Thorpe, Michael

PY - 1985

Y1 - 1985

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=17844405994&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=17844405994&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.31.7355

DO - 10.1103/PhysRevB.31.7355

M3 - Article

VL - 31

SP - 7355

EP - 7367

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 11

ER -