INTERFACE FLUCTUATIONS ON A HIERARCHICAL LATTICE

We consider interface fluctuations on a two-dimensional layered lattic e where the couplings follow a hierarchical sequence. This problem is equivalent to the diffusion process of a quantum particle in the prese nce of a one-dimensional hierarchical potential. According to a modifi ed Harris criterion, this type of perturbation is relevant and one exp ects anomalous fluctuating behavior. By transfer-matrix techniques and by an exact renormalization-group transformation we have obtained ana lytical results for the interface fluctuation exponents, which are dis continuous at the homogeneous lattice limit.