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Marginal Pinning of Quenched Random Polymers

D. A. Gorokhov·G. Blatter
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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 $L_c(T) \propto \exp[(32/π)(T/T_{\rm dp})^3]$, with $T_{\rm dp}$ the depinning temperature. A slow decay of disorder correlations as it appears in the problem of flux line pinning in superconductors modifies this result, $\ln L_c(T)\propto T^{3/2}$.

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D. A. Gorokhov, G. Blatter. 1999-07-29. Marginal Pinning of Quenched Random Polymers. https://doi.org/10.1103/physrevb.62.14032

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