1998/12/16 by Sergio Caracciolo, Maria Serena Causo, Peter Grassberger +1 · 3 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics #cond-mat.stat-mech #hep-lat
paper · pdf · doi:10.1088/0305-4470/32/16/004
published as J.Phys.A32:2931-2948,1999 · 24 pages, LaTeX2e, 4 figures
arxiv created 1998/12/16 · openalex publication_date 1999/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We present a high-statistics Monte Carlo determination of the exponent for self-avoiding walks on a Manhattan lattice in two dimensions. A conservative estimate is , in agreement with the universal value on regular lattices, but in conflict with predictions from conformal field theory and with a recent estimate from exact enumerations. We find strong corrections to scaling that seem to indicate the presence of a non-analytic exponent . If we assume we find , where the error is purely statistical.