A Transfer Matrix for the Backbone Exponent of Two-Dimensional Percolation
Jesper-Lykke Jacobsen 1, Paul Zinn-Justin 1 Journal of Physics A 35 (2002) 2131-2144 Rephrasing the backbone of two-dimensional percolation as a monochromatic path crossing problem, we investigate the latter by a transfer matrix approach. Conformal invariance links the backbone dimension D_b to the highest eigenvalue of the transfer matrix T, and we obtain the result D_b=1.6431 \pm 0.0006. For […]
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