Universality class of the restricted solid-on-solid model with hopping

Details Universality class of the restricted solid-on-solid model with hopping Universality class of the restricted solid-on-solid model with hopping

2002-02-14

arxiv.org/abs/cond-mat/0202228v1

Phys. Rev. E 65, 036108 (2002)

Physics

Condensed Matter

Statistical Mechanics

13 pages, 3 figures

Scientific paper

10.1103/PhysRevE.65.036108

We study the restricted solid-on-solid (RSOS) model with finite hopping distance $l_{0}$, using both analytical and numerical methods. Analytically, we use the hard-core bosonic field theory developed by the authors [Phys. Rev. E {\bf 62}, 7642 (2000)] and derive the Villain-Lai-Das Sarma (VLD) equation for the $l_{0}=\infty$ case which corresponds to the conserved RSOS (CRSOS) model and the Kardar-Parisi-Zhang (KPZ) equation for all finite values of $l_{0}$. Consequently, we find that the CRSOS model belongs to the VLD universality class and the RSOS models with any finite hopping distance belong to the KPZ universality class. There is no phase transition at a certain finite hopping distance contrary to the previous result. We confirm the analytic results using the Monte Carlo simulations for several values of the finite hopping distance.

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