2003/01/27 by Shan-Ho Tsai, D. P. Landau
Mathematics · Physics and Astronomy · #Antiferromagnetism #Condensed matter physics #Critical exponent #Cubic crystal system #Exponent #Geometry #Lattice (music) #Magnetic properties of thin films #Mathematical physics #Mathematics #Monte Carlo method #Phase transition #Physics #Physics of Superconductivity and Magnetism #Renormalization group #Scaling #Statistical physics #Statistics #Theoretical and Computational Physics #cond-mat
paper · pdf · doi:10.1103/physrevb.67.104411
published as Phys. Rev. B 67, 104411 (2003) · Revtex, 6 pages, 7 figures
arxiv created 2003/01/27 · openalex publication_date 2003/03/17 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Monte Carlo and spin dynamics simulations have been used to study the dynamic critical behavior of RbMnF3, 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\ifmmode±\else\textpm\fi0.03, in good agreement with the renormalization-group theory and dynamic scaling predictions. In addition, the central peak in the dynamic structure factor at Tc, seen in experiments and previous simulations, but absent in the renormalization-group and mode-coupling theories, is shown to be solely in the longitudinal component.