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- W3100184264 abstract "We analyse the low-temperature behaviour of the classical isotropic ferromagnetic Heisenberg model on a two-dimensional square lattice of finite size. Presence of a residual magnetization in a finite-size system enables us to use a low-temperature approximation, which is however more restricting than the usual spin-wave approximation known to give reliable results for the XY model at low temperatures T. For the system considered, we find that the spin?spin correlation function decays as 1/r?(T) for large separations r bringing about the presence of a quasi-long-range ordering. We give analytic estimates for the exponent ?(T) in different regimes and support our findings by Monte Carlo simulations of the model on lattices of different sizes at different temperatures." @default.
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- W3100184264 date "2007-03-20" @default.
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- W3100184264 title "Quasi-long-range ordering in a finite-size 2D classical Heisenberg model" @default.
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