corner
corner

Phys. Rev. Lett. 76, 1352–1355 (1996)

High-Precision Evaluation of the Static Exponents of the Classical Heisenberg Ferromagnet

Download: PDF (137 kB) Buy this article Export: BibTeX or EndNote (RIS)

Robert G. Brown and Mikael Ciftan
Physics Department, Duke Universtity, Durham, North Carolina 27708-0305

Received 8 September 1995; published in the issue dated 19 February 1996

A high-precision, multimethod Monte Carlo study of the static exponents of the O(3) classical Heisenberg ferromagnet yields an estimate for the critical temperature of Tc1.4427±0.0002 from which it is conjectured that Tc = 1/ln(2). It is shown from finite-size scaling of the data that the specific heat is singular for this model, with α = 0.0750±0.002, ν = 0.642±0.002, β = 0.328±0.001, and γ = 1.270±0.001. This result is confirmed by comparing the universality scaling of the full order parameter curve for three possible values of ν.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.76.1352
DOI:
10.1103/PhysRevLett.76.1352
PACS:
75.10.Jm, 05.30.-d

See Also

Comment: Christian Holm and Wolfhard Janke, Critical Exponents of the Classical Heisenberg Ferromagnet, Phys. Rev. Lett. 78, 2265 (1997).

Reply: Robert G. Brown and Mikael Ciftan, Brown and Ciftan Reply:, Phys. Rev. Lett. 78, 2266 (1997).