2 00 9 Geometrical properties of parafermionic spin models
نویسندگان
چکیده
We present measurements of the fractal dimensions associated to the spin clusters for Z 4 and Z 5 spin models. We also attempted to measure similar fractal dimensions for the generalised Fortuin Kastelyn (FK) clusters in these models but we discovered that these clusters do not percolate at the critical point of the model under consideration. These results clearly mark a difference in the behaviour of these non local objects compared to the Ising model or the 3-state Potts model which corresponds to the simplest cases of Z N spin models with N = 2 and N = 3 respectively. We compare these fractal dimensions with the ones obtained for SLE interfaces.
منابع مشابه
Geometrical properties of parafermionic spin models
We present measurements of the fractal dimensions associated to the spin clusters for Z4 and Z5 spin models. We also attempted to measure similar fractal dimensions for the generalised Fortuin Kastelyn (FK) clusters in these models but we discovered that these clusters do not percolate at the critical point of the model under consideration. These results clearly mark a difference in the behavio...
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