Local magnetic field distributions

Two-dimensional Ising models

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

Research output: Contribution to journalArticle

29 Citations (Scopus)

Abstract

We show that the statistical mechanics of Ising models can be conveniently reformulated in terms of the local magnetic field probability distribution function P(h). It is shown that for arbitrary exchange interactions Jij, which may or may not be random, both thermodynamic quantities such as magnetization, specific heat, etc., and the neutron scattering law S(k,) can be obtained from P(h). Indeed S(k,) provides a direct measurement of the symmetric part of P(h) which also determines the energy, specific heat, etc., while the magnetization can be obtained from the antisymmetric part of P(h). As an example, specific results for P(h) are presented for the honeycomb, square, and triangular lattices with constant nearest-neighbor interactions. All three lattices exhibit a pronounced dip in the center of P(h) at the transition temperature.

Original languageEnglish (US)
Pages (from-to)250-258
Number of pages9
JournalPhysical Review B
Volume30
Issue number1
DOIs
StatePublished - 1984
Externally publishedYes

Fingerprint

Ising model
Specific heat
Magnetization
specific heat
Magnetic fields
magnetization
Statistical mechanics
probability distribution functions
Exchange interactions
Neutron scattering
statistical mechanics
magnetic fields
Probability distributions
Superconducting transition temperature
Distribution functions
neutron scattering
transition temperature
interactions
Thermodynamics
thermodynamics

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Thomsen, M., Thorpe, M., Choy, T. C., & Sherrington, D. (1984). Local magnetic field distributions: Two-dimensional Ising models. Physical Review B, 30(1), 250-258. https://doi.org/10.1103/PhysRevB.30.250

Local magnetic field distributions : Two-dimensional Ising models. / Thomsen, M.; Thorpe, Michael; Choy, T. C.; Sherrington, D.

In: Physical Review B, Vol. 30, No. 1, 1984, p. 250-258.

Research output: Contribution to journalArticle

Thomsen, M, Thorpe, M, Choy, TC & Sherrington, D 1984, 'Local magnetic field distributions: Two-dimensional Ising models', Physical Review B, vol. 30, no. 1, pp. 250-258. https://doi.org/10.1103/PhysRevB.30.250
Thomsen, M. ; Thorpe, Michael ; Choy, T. C. ; Sherrington, D. / Local magnetic field distributions : Two-dimensional Ising models. In: Physical Review B. 1984 ; Vol. 30, No. 1. pp. 250-258.
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