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cond-mat.stat-mech2020★ 4 cited
Level Set Percolation in Two-Dimensional Gaussian Free Field
Xiangyu Cao, Raoul Santachiara
The nature of level set percolation in the two-dimension Gaussian Free Field has been an elusive question. Using a loop-model mapping, we show that there is a nontrivial percolatio…
cond-mat.stat-mech2010★ 11 cited
Critical interfaces of the Ashkin-Teller model at the parafermionic point
Marco Picco, Raoul Santachiara
We present an extensive study of interfaces defined in the Z_4 spin lattice representation of the Ashkin-Teller (AT) model. In particular, we numerically compute the fractal dimens…