Directed polymers with random interaction: marginal relevance and novel criticality

Bhattacharjee, Somendra M. ; Mukherji, Sutapa (1993) Directed polymers with random interaction: marginal relevance and novel criticality Physical Review Letters, 70 (1). pp. 49-52. ISSN 0031-9007

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Official URL: http://prl.aps.org/abstract/PRL/v70/i1/p49_1

Related URL: http://dx.doi.org/10.1103/PhysRevLett.70.49

Abstract

We show by an exact renormalization-group approach that a random two-chain interaction for (d+1)-dimensional directed polymers is marginally relevant at d=1. There is a critical point for d>1 separating the weak and strong disorder phases, and the length scale exponent is v=[2(d-1)]-1 for d>1. For the mth-order multicritical case involving random m-chain interactions, the disorder is marginally relevant at dm=1/(m-1). Here also the disorder induces a critical point for d>dm, with an exponent vm=[2d(m-1)-2]-1. An essential singularity occurs for the length scale right at d=dm.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:3067
Deposited On:09 Oct 2010 10:12
Last Modified:16 May 2016 13:56

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