DOI: 10.1063/1.1709709. Dependence of Critical Properties of Heisenberg Magnets upon Spin and Lattice

Dependence of Critical Properties of Heisenberg Magnets upon Spin and Lattice

10.1063/1.1709709

Crossref journal-article

AIP Publishing

Journal of Applied Physics (317)

Abstract

High-temperature expansion methods have recently been used to predict the form of the divergence of the zero-field static susceptibility χ at the critical temperature Tc. These studies have suggested that χ∼A (T−Tc)−γ, with γ=43 independent of both lattice structure and spin quantum number S. Here we argue that the proposal γ=43 for all S is unjustified; we find a slow but nevertheless clear variation of γ with S. We further point out that there exists at least one physically interesting lattice—a normal cubic spinel with nearest-neighbor ferromagnetic B—B interactions—for which the theoretical evidence indicates that if the power-law form of divergence is correct, γ may differ from43 by as much as 50%.

Bibliography

Stanley, H. E., & Kaplan, T. A. (1967). Dependence of Critical Properties of Heisenberg Magnets upon Spin and Lattice. Journal of Applied Physics, 38(3), 977â979.

Authors 2

H. E. Stanley (first)
T. A. Kaplan (additional)

References 13 Referenced 24

10.1080/00268975800100321 / Mol. Phys. (1958)
10.1103/PhysRev.128.168 / Phys. Rev. (1962)
{'key': '2024020209354664500_r3', 'first-page': '257', 'volume': 'A275', 'year': '1963', 'journal-title': 'Proc. Roy. Soc. (London)'} / Proc. Roy. Soc. (London) (1963)
10.1103/PhysRevLett.15.493 / Phys. Rev. Letters (1965)
10.1063/1.1708484 / J. Appl. Phys. (1966)
10.1016/0031-9163(66)90911-5 / Phys. Letters (1966)
10.1103/PhysRevLett.16.981 / Phys. Rev. Letters (1966)
10.1103/PhysRevLett.17.307 / Phys. Rev. Letters (1966)
{'key': '2024020209354664500_r7b'}
10.1103/PhysRev.136.A1376 / Phys. Rev. (1964)
10.1103/PhysRevLett.17.913 / Phys. Rev. Letters (1966)
{'key': '2024020209354664500_r9a'}
10.1103/PhysRev.133.A224 / Phys. Rev. (1964)

Dates

Type	When
Created	20 years, 7 months ago (Jan. 15, 2005, 10:15 a.m.)
Deposited	1 year, 7 months ago (Feb. 2, 2024, 5:34 a.m.)
Indexed	1 year, 6 months ago (Feb. 9, 2024, 7:40 a.m.)
Issued	58 years, 6 months ago (March 1, 1967)
Published	58 years, 6 months ago (March 1, 1967)
Published Print	58 years, 6 months ago (March 1, 1967)

Funders 0

None

BibTeX

@article{Stanley_1967, title={Dependence of Critical Properties of Heisenberg Magnets upon Spin and Lattice}, volume={38}, ISSN={1089-7550}, url={http://dx.doi.org/10.1063/1.1709709}, DOI={10.1063/1.1709709}, number={3}, journal={Journal of Applied Physics}, publisher={AIP Publishing}, author={Stanley, H. E. and Kaplan, T. A.}, year={1967}, month=mar, pages={977–979} }

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  "abstract": "<jats:p>High-temperature expansion methods have recently been used to predict the form of the divergence of the zero-field static susceptibility \u03c7 at the critical temperature Tc. These studies have suggested that \u03c7\u223cA (T\u2212Tc)\u2212\u03b3, with \u03b3=43 independent of both lattice structure and spin quantum number S. Here we argue that the proposal \u03b3=43 for all S is unjustified; we find a slow but nevertheless clear variation of \u03b3 with S. We further point out that there exists at least one physically interesting lattice\u2014a normal cubic spinel with nearest-neighbor ferromagnetic B\u2014B interactions\u2014for which the theoretical evidence indicates that if the power-law form of divergence is correct, \u03b3 may differ from43 by as much as 50%.</jats:p>",
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