On surface properties of two-dimensional percolation clusters

  title={On surface properties of two-dimensional percolation clusters},
  author={S.L.A. de Queiroz},
  journal={arXiv: Condensed Matter},
  • S. D. Queiroz
  • Published 1 June 1995
  • Mathematics, Physics
  • arXiv: Condensed Matter
The two-dimensional site percolation problem is studied by transfer-matrix methods on finite-width strips with free boundary conditions. The relationship between correlation-length amplitudes and critical indices, predicted by conformal invariance, allows a very precise determination of the surface decay-of-correlations exponent, $\eta_s = 0.6664 \pm 0.0008$, consistent with the analytical value $\eta_s = 2/3$. It is found that a special transition does not occur in the case, corroborating… 
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