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Interface Fluctuations on a Hierarchical Lattice

Ferenc Igloi·Ferenc Szalma
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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.

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Ferenc Igloi, Ferenc Szalma. 1996-06-10. Interface Fluctuations on a Hierarchical Lattice. https://doi.org/10.1103/physreve.54.1106

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