2000/06/04 by Stefan Scheidl, Scheidl, Stefan, Yusuf Dincer +1
Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0006048
11 pages, Latex, with 2 EPS figures
arxiv created 2000/06/04 · arxiv updated 2009/11/30
We employ a functional renormalization group to study interfaces in the presence of a pinning potential in d=4-ε 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 ζ≈ 0.2083 ε in order ε. 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.