Percolation properties of the 2D Heisenberg model

Details Percolation properties of the 2D Heisenberg model Percolation properties of the 2D Heisenberg model

1999-05-20

arxiv.org/abs/hep-lat/9905026v2

Phys.Rev.Lett. 83 (1999) 3669-3672

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages, 3 eps figures. Revised version (more clear abstract, some new references)

Scientific paper

10.1103/PhysRevLett.83.3669

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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