Directed polymer localization in a disordered medium

L. H. Tang, I. F. Lyuksyutov

Research output: Contribution to journalArticlepeer-review

52 Citations (Scopus)

Abstract

The localization of a directed polymer onto an extended defect (such as a line or a plane) in the presence of competing bulk disorder is examined. Based on scaling ideas and exact analysis on a hierarchical lattice, we develop a new renormalization scheme to study the directed polymer localization problem. We establish absence of delocalization transition for attractive columnar defect in the marginal dimension dc=2, and for attractive planar defect in d=3. For columnar defect in three dimensions, our simulations yield a localization length exponent ν
=1.8±0.6.
Original languageEnglish
Pages (from-to)2745-2748
Number of pages4
JournalPhysical Review Letters
Volume71
Issue number17
DOIs
Publication statusPublished - 25 Oct 1993
Externally publishedYes

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