Abstract

We study a growth model for ideal molecular-beam epitaxial growth, in which landed atoms relax to local energy minima. In the calculation of the binding energy, we consider the next-nearest-neighbor interaction as well as the nearest-neighbor interaction. It is considered that this model, a natural extension of the Wolf-Villain model, is described by the most general continuum equation up to fourth order for a conservative growth. Numerical simulations on one-dimensional substrates show crossover behaviors of the growth exponents \ensuremath{\beta} and \ensuremath{\alpha}; \ensuremath{\beta}=1/3 and \ensuremath{\alpha}=1 change to \ensuremath{\beta}=1/4 and \ensuremath{\alpha}=1/2 (Edwards-Wilkinson class) via \ensuremath{\beta}=3/10 and \ensuremath{\alpha}=3/4. These rexsults are supported by the calculations of the correlation function and the surface diffusion currents on tilted substrates. We also give an intuitive argument for these results.

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