2001/04/30 by Beom Jun Kim, Petter Minnhagen, Suhk Kun Oh +1
Physics and Astronomy · #cond-mat.stat-mech #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.64.024406
published as Phys. Rev. B 64, 024406 (2001) · 8 pages and 10 figures in two column
arxiv created 2001/05/25 · arxiv updated 2009/11/30
The two- and three-dimensional classical Heisenberg spin XY (CHSXY) models, with the spherical coordinates of spins taken as dynamic variables, are numerically investigated. We allow the polar θ and azimuthal ϕ angles to have uniform values in [0,π) and [-π, π), respectively, and the static universality class is shown to be identical to the classical XY model with two-component spins, as well as the CHSXY model with a different choice of dynamic variables, conventionally used in the literature. The relaxational dynamic simulation reveals that the dynamic critical exponent z is found to have the value z ≈ 2.0 for both two and three dimensions, in contrast to z ≈ d/2 (d= spatial dimension) found previously with spin dynamics simulation of the conventional CHSXY model. Comparisons with the usual two-component classical XY model are also made.