High-precision evaluation of the static exponents of the classical Heisenberg ferromagnet

被引:25
作者
Brown, RG
Ciftan, M
机构
[1] Physics Department, Duke Universtity, Durham, NC
关键词
D O I
10.1103/PhysRevLett.76.1352
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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 T-c approximate to 1.4427 +/- 0.0002 s from which it is conjectured that T-c = 1/ln(2). It is shown from finite-size scaling of the data that the specific heat is singular for this model, with alpha = 0.0750 +/- 0.002, nu = 0.642 +/- 0.002, beta = 0.328 +/- 0.001, and gamma = 1.270 +/- 0.001. This result is confirmed by comparing the universality scaling of the full order parameter curve for three possible values of nu.
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页码:1352 / 1355
页数:4
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