Interface Fluctuations on a Hierarchical Lattice

Details Interface Fluctuations on a Hierarchical Lattice Interface Fluctuations on a Hierarchical Lattice

1996-06-10

arxiv.org/abs/cond-mat/9606057v1

Physics

Condensed Matter

14 pages plain Tex, one Figure upon request, Phys Rev E (in print)

Scientific paper

10.1103/PhysRevE.54.1106

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.

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