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arXiv · hep-lat/9905026

Percolation properties of the 2D Heisenberg model

B. Alles·J. J. Alonso·C. Criado·M. Pepe
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Abstract

We analyze the percolation properties of certain clusters defined on configurations of the 2--dimensional Heisenberg model. We find that, given any direction \vec{n} in O(3) space, the spins almost perpendicular to \vec{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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B. Alles, J. J. Alonso, C. Criado, M. Pepe. 1999-10-22. Percolation properties of the 2D Heisenberg model. https://doi.org/10.1103/physrevlett.83.3669

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