Abstract
We study the problem of directed polymers (DP) on a square lattice. The distribution of disorderε is assumed to be independent but non-Gaussian. We show that for distributions with a power-law tailP(ε) ∼ 1/|ε|1+μ, whereμ>2, so that the mean and variance are well defined, the scaling exponentv of the DP model depends onμ in a continuous fashion.
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Bettolo Marconi, U.M., Zhang, YC. Novel scaling behavior of directed polymers: Disorder distribution with long tails. J Stat Phys 61, 885–889 (1990). https://doi.org/10.1007/BF01027307
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DOI: https://doi.org/10.1007/BF01027307