Depinning in a Random Medium

Details Depinning in a Random Medium Depinning in a Random Medium

1994-05-30

arxiv.org/abs/cond-mat/9405088v2

Physics

Condensed Matter

11 pages (latex) with one figure (now printable, no other changes)

Scientific paper

10.1088/0305-4470/28/23/009

We develop a renormalized continuum field theory for a directed polymer interacting with a random medium and a single extended defect. The renormalization group is based on the operator algebra of the pinning potential; it has novel features due to the breakdown of hyperscaling in a random system. There is a second-order transition between a localized and a delocalized phase of the polymer; we obtain analytic results on its critical pinning strength and scaling exponents. Our results are directly related to spatially inhomogeneous Kardar-Parisi-Zhang surface growth.

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