Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2004-10-28
Phys. Rev. B 72, 024417 (2005)
Physics
Condensed Matter
Disordered Systems and Neural Networks
12 pages, 17 figures, corrected erroneous figure, and improved quality of manuscript, updated references
Scientific paper
10.1103/PhysRevB.72.024417
We introduce a lattice model for a classical doped two dimensional antiferromagnet which has no quenched disorder, yet displays slow dynamics similar to those observed in supercooled liquids. We calculate two-time spatial and spin correlations via Monte Carlo simulations and find that for sufficiently low temperatures, there is anomalous diffusion and stretched-exponential relaxation of spin correlations. The relaxation times associated with spin correlations and diffusion both diverge at low temperatures in a sub-Arrhenius fashion if the fit is done over a large temperature-window or an Arrhenius fashion if only low temperatures are considered. We find evidence of spatially heterogeneous dynamics, in which vacancies created by changes in occupation facilitate spin flips on neighbouring sites. We find violations of the Stokes-Einstein relation and Debye-Stokes-Einstein relation and show that the probability distributions of local spatial correlations indicate fast and slow populations of sites, and local spin correlations indicate a wide distribution of relaxation times, similar to observ ations in other glassy systems with and without quenched disorder.
Chamon Claudio
Cugliandolo Leticia F.
Kennett Malcolm P.
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