Directed polymer localization in a disordered medium

L. H. Tang; I. F. Lyuksyutov

doi:10.1103/PhysRevLett.71.2745

Directed polymer localization in a disordered medium

L. H. Tang
, I. F. Lyuksyutov

Department of Physics

Research output: Contribution to journal › Journal article › peer-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 d_c=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 language	English
Pages (from-to)	2745-2748
Number of pages	4
Journal	Physical Review Letters
Volume	71
Issue number	17
DOIs	https://doi.org/10.1103/PhysRevLett.71.2745
Publication status	Published - 25 Oct 1993

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title = "Directed polymer localization in a disordered medium",

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. ",

author = "Tang, \{L. H.\} and Lyuksyutov, \{I. F.\}",

note = "Funding information: We wish to thank J. Krug, T. Nattermann, and D. E. Wolf for useful discussions. One of us (L.T.) gratefully acknowledges the use of computing facilities at Forschungszentrum Jiilich. The work is supported in part by the Deutsche Forschungsgemeinschaft under SFB 341. Publisher copyright: {\textcopyright}1993 American Physical Society",

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AU - Tang, L. H.

AU - Lyuksyutov, I. F.

N1 - Funding information: We wish to thank J. Krug, T. Nattermann, and D. E. Wolf for useful discussions. One of us (L.T.) gratefully acknowledges the use of computing facilities at Forschungszentrum Jiilich. The work is supported in part by the Deutsche Forschungsgemeinschaft under SFB 341. Publisher copyright: ©1993 American Physical Society

PY - 1993/10/25

Y1 - 1993/10/25

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0040614790

U2 - 10.1103/PhysRevLett.71.2745

DO - 10.1103/PhysRevLett.71.2745

M3 - Journal article

SN - 0031-9007

VL - 71

SP - 2745

EP - 2748

JO - Physical Review Letters

JF - Physical Review Letters

IS - 17

ER -

Directed polymer localization in a disordered medium

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