Conserved Growth on Vicinal Surfaces

Details Conserved Growth on Vicinal Surfaces Conserved Growth on Vicinal Surfaces

1998-06-24

arxiv.org/abs/cond-mat/9806290v1

J. Phys. A 31, L581 (1998)

Physics

Condensed Matter

Statistical Mechanics

10 pages, uses revtex

Scientific paper

10.1088/0305-4470/31/34/002

A crystal surface which is miscut with respect to a high symmetry plane exhibits steps with a characteristic distance. It is argued that the continuum description of growth on such a surface, when desorption can be neglected, is given by the anisotropic version of the conserved KPZ equation (T. Sun, H. Guo, and M. Grant, Phys. Rev. A 40, 6763 (1989)) with non-conserved noise. A one--loop dynamical renormalization group calculation yields the values of the dynamical exponent and the roughness exponent which are shown to be the same as in the isotropic case. The results presented here should apply in particular to growth under conditions which are typical for molecular beam epitaxy.

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