Study of the RSOS model on a Kagomé lattice

초록

We study the restricted solid-on-solid (RSOS) model, one of several many surface growth models, on a kagomé lattice. The RSOS model on a regular lattice is known to be well described by the Kardar-Parisi-Zhang equation. We numerically obtain values of the roughness exponent α = 0.25, the growth exponent β = 0.408, and the dynamic exponent z = 1.628, which correspond to the results obtained from the RSOS model on a square lattice. From these results, the values of the critical exponents of the RSOS model in 3 dimensions can be seen to depend only on the dimension, regardless of the type of lattice. Of importance is the observation that this is in contrast with the antiferromagnetic Ising model, which exhibits distinctly different critical phenomena for the kagomé lattice and the square lattice. © 2018, The Korean Physical Society. All rights reserved.

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