Disorder-Induced Depinning Transition

Details Disorder-Induced Depinning Transition Disorder-Induced Depinning Transition

1994-04-12

arxiv.org/abs/cond-mat/9404031v1

Physics

Condensed Matter

47 pages in revtex; postscript files of 6 figures included

Scientific paper

10.1103/PhysRevB.51.455

The competition in the pinning of a directed polymer by a columnar pin and a background of random point impurities is investigated systematically using the renormalization group method. With the aid of the mapping to the noisy-Burgers' equation and the use of the mode-coupling method, the directed polymer is shown to be marginally localized to an arbitrary weak columnar pin in 1+1 dimensions. This weak localization effect is attributed to the existence of large scale, nearly degenerate optimal paths of the randomly pinned directed polymer. The critical behavior of the depinning transition above 1+1 dimensions is obtained via an $\epsilon$-expansion.

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