Fractal Structure of Spin Clusters and Domain Walls in 2D Ising Model
Wolfhard Janke, Adriaan M. J. Schakel
Abstract
The fractal structure of spin clusters and their boundaries in the critical two-dimensional (2D) Ising model is investigated numerically. The fractal dimensions of these geometrical objects are estimated by means of Monte Carlo simulations on relatively small lattices through standard finite-size scaling. The obtained results are in excellent agreement with theoretical predictions and partly provide significant improvements in precision over existing numerical estimates.
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