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

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 Tc≈1.4427±0.0002 from which it is conjectured that Tc0ex0ex=0ex0ex1/ln(2). It is shown from finite-size scaling of the data that the specific heat is singular for this model, with α0ex0ex=0ex0ex0.0750±0.002, ν0ex0ex=0ex0ex0.642±0.002, β0ex0ex=0ex0ex0.328±0.001, and γ0ex0ex=0ex0ex1.270±0.001. This result is confirmed by comparing the universality scaling of the full order parameter curve for three possible values of ν.