Abstract
We present a renormalization-group approach for treating the percolation properties of the nearest-neighbor triangular Ising model. We obtain exponents for the line of percolation transitions . In particular, we find a possibly exact result for the connectedness-length exponent in the "pure" percolation () limit, which holds for . At we find the connectedness-length exponents of the percolation problem to be identical to the correlation-length exponents for the thermal problem.
- Received 21 August 1978
DOI:https://doi.org/10.1103/PhysRevLett.41.1145
©1978 American Physical Society