Topological percolation on a square lattice

Details Topological percolation on a square lattice Topological percolation on a square lattice

2004-01-04

arxiv.org/abs/cond-mat/0401027v2

Physics

Condensed Matter

Statistical Mechanics

14 pages, 9 eps-figures, latex-revtex4, revised version: misprints removed, reference added

Scientific paper

We investigate the formation of an infinite cluster of entangled threads in a (2+1)-dimensional system. We demonstrate that topological percolation belongs to the universality class of the standard 2D bond percolation. We compute the topological percolation threshold and the critical exponents of topological phase transition. Our numerical check confirms well obtained analytical results.

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