Renormalization group study of a driven continuum model for molecular beam epitaxy

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Abstract
We use the dynamic renormalization group technique to study a continuum model for molecular beam epitaxy for both one- and two-dimensional substrates. Relaxation of the growing film is due to surface tension and surface diffusion. In 1+1 dimensions we find a purely diffusive strong-coupling fixed point with a dynamic exponent z different from that given by the linear theory as well as the Edwards-Wilkinson fixed point and a fixed point corresponding to unstable growth. In 2+1 dimensions the purely diffusive fixed point is absent at the one loop order but the other two fixed points are still present.