The 2d/3D Classical Heisenberg Ferromagnet
We numerically simulate the critical behavior of up to 1502 classical Heisenberg spins in a two-dimensional square lattice with nearest-neighbor coupling and periodic boundary conditions. The simulation of this model exhibits a ferromagnetic phase transition to a state with lattice-spanning order at T c ~ 0.6. The phase transition has unusual features reminiscent of a Kosterlitz-Thouless (topological) phase transition; it is suggested that topological defects may play an important role in the ordering of this system.
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- K. Binder, D. W. Heermann, Springer Series in Solid-State Sciences 80 Monte Carlo Simulation in Statistical Physics, Springer-Verlag, New York, 1988.Google Scholar