1999/10/26 by Shan-Ho Tsai, Alex Bunker, D. P. Landau · 3 citations
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Antiferromagnetism #Condensed matter physics #Dispersion (optics) #Dynamic structure factor #Exponent #Exponential function #Geometry #Mathematical analysis #Mathematics #Molecular dynamics #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Scaling #Spin (aerodynamics) #Spins #Statistical physics #Theoretical and Computational Physics #Thermodynamics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevb.61.333
published as Phys. Rev. B 61, 333-342 (2000) · 30 pages, RevTex, 9 figures, to appear in PRB
arxiv created 1999/10/26 · openalex publication_date 2000/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Spin-dynamics techniques have been used to perform large-scale simulations of the dynamic behavior of the classical Heisenberg antiferromagnet in simple cubic lattices with linear sizes L<~60. This system is widely recognized as an appropriate model for the magnetic properties of RbMnF3. Time evolutions of spin configurations were determined numerically from coupled equations of motion for individual spins using an algorithm implemented by Krech et al., which is based on fourth-order Suzuki-Trotter decompositions of exponential operators. The dynamic structure factor was calculated from the space- and time-displaced spin-spin correlation function. The crossover from hydrodynamic to critical behavior of the dispersion curve and spin-wave half-width was studied as the temperature was increased towards the critical temperature. The dynamic critical exponent was estimated to be z=(1.43\ifmmode±\else\textpm\fi0.03), which is slightly lower than the dynamic scaling prediction, but in good agreement with a recent experimental value. Direct, quantitative comparisons of both the dispersion curve and the line shapes obtained from our simulations with very recent experimental results for RbMnF3 are presented.