Marginal Pinning of Quenched Random Polymers

Abstract

An elastic string embedded in 3D space and subject to a short-range correlated random potential exhibits marginal pinning at high temperatures, with the pinning length $L_c(T)$ becoming exponentially sensitive to temperature. Using a functional renormalization group (FRG) approach we find $L_c(T)\propto \exp [(32/\pi )(T/T_{\mathrm{dp}}{)}^3]$, with $T_{\mathrm{dp}}$ the depinning temperature. A slow decay of disorder correlations as it appears in the problem of flux line pinning in superconductors modifies this result, $\ln L_c(T)\propto T^{3/2}$.

4 pages, RevTeX, 1 figure inserted

References in corpus (3)

• (4+N)-Dimensional Elastic Manifolds in Random Media: a Renormalization-Group Analysis
• Exact free energy distribution function of a randomly forced directed polymer
• Singularities of the renormalization group flow for random elastic manifolds

Cited by in corpus (3)

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