Percolation properties of the 2D Heisenberg model
Abstract
We analyze the percolation properties of certain clusters defined on configurations of the 2--dimensional Heisenberg model. We find that, given any direction n in O(3) space, the spins almost perpendicular to n form a percolating cluster. This result gives indications of how the model can avoid a previously conjectured Kosterlitz-Thouless phase transition at finite temperature T.
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