Interface Fluctuations on a Hierarchical Lattice
Condensed Matter
2009-10-28 v1
Abstract
We consider interface fluctuations on a two-dimensional layered lattice where the couplings follow a hierarchical sequence. This problem is equivalent to the diffusion process of a quantum particle in the presence of a one-dimensional hierarchical potential. According to a modified Harris criterion this type of perturbation is relevant and one expects anomalous fluctuating behavior. By transfer-matrix techniques and by an exact renormalization group transformation we have obtained analytical results for the interface fluctuation exponents, which are discontinuous at the homogeneous lattice limit.
Cite
@article{arxiv.cond-mat/9606057,
title = {Interface Fluctuations on a Hierarchical Lattice},
author = {Ferenc Igloi and Ferenc Szalma},
journal= {arXiv preprint arXiv:cond-mat/9606057},
year = {2009}
}
Comments
14 pages plain Tex, one Figure upon request, Phys Rev E (in print)