Interface fluctuations in disordered systems: Universality and non-Gaussian statistics

Details Interface fluctuations in disordered systems: Universality and non-Gaussian statistics Interface fluctuations in disordered systems: Universality and non-Gaussian statistics

2000-06-04

arxiv.org/abs/cond-mat/0006048v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

11 pages, Latex, with 2 EPS figures

Scientific paper

We employ a functional renormalization group to study interfaces in the presence of a pinning potential in $d=4-\epsilon$ dimensions. In contrast to a previous approach [D.S. Fisher, Phys. Rev. Lett. {\bf 56}, 1964 (1986)] we use a soft-cutoff scheme. With the method developed here we confirm the value of the roughness exponent $\zeta \approx 0.2083 \epsilon$ in order $\epsilon$. Going beyond previous work, we demonstrate that this exponent is universal. In addition, we analyze the generation of higher cumulants in the disorder distribution and the role of temperature as a dangerously irrelevant variable.

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