Critical dynamics of the simple-cubic Heisenberg antiferromagnet RbMnF${}_3$: Extrapolation to q=0

Abstract

Monte Carlo and spin dynamics simulations have been used to study the dynamic critical behavior of RbMnF${}_3$, treated as a classical Heisenberg antiferromagnet on a simple cubic lattice. In an attempt to understand the difference in the value of the dynamic critical exponent $z$ between experiment and theory, we have used larger lattice sizes than in our previous simulations to better probe the asymptotic critical region in momentum. We estimate $z=1.49\pm 0.03$, in good agreement with the renormalization-group theory and dynamic scaling predictions. In addition, the central peak in the dynamic structure factor at $T_c$, seen in experiments and previous simulations, but absent in the renomalization-group and mode-coupling theories, is shown to be solely in the longitudinal component.

Revtex, 6 pages, 7 figures

References in corpus (1)

• Critical exponents and equation of state of the three-dimensional Heisenberg universality class

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