Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1999-12-20
J. Phys. Soc. Jpn. Suppl. A 69, 407-414 (2000)
Physics
Condensed Matter
Statistical Mechanics
J. Phys. Soc. Japan (in press)
Scientific paper
Spin-dynamics simulations have been used to investigate the dynamic behavior of RbMnF_3, treating it as a classical Heisenberg antiferromagnet on a simple cubic lattice. Time-evolutions of spin configurations were determined numerically from coupled equations of motion for individual spins using a new algorithm which is based on 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 value. The dynamic critical exponent was estimated to be z=(1.43\pm 0.03), which is slightly lower than the dynamic scaling prediction, but in good agreement with a recent experimental value. Comparisons are made of both the dispersion curve and the lineshapes obtained from our simulations with very recent experimental results for RbMnF_3 are presented.
Bunker Alex
Landau David. P.
Tsai Shan-Ho
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