Physical Review B (Condensed Matter) -- March 15, 1997 -- Volume
55, Issue 12, pp. 7653-7659
Two-dimensional facet nucleation and growth on Si(111)
Da-Jiang Liu, John D. Weeks, M. D. Johnson, and Ellen D. Williams
The lateral growth of an isolated nucleated facet is studied using a
simple two-dimensional step model. An effective Hamiltonian that
causes a planar surface to phase separate into facets and step bunches
is proposed. The motions of the steps are determined by the
relaxational dynamics of the effective Hamiltonian with and without a
local conservation requirement. An even simpler mean-field-like model
is used to illustrate the mechanism of the experimentally observed
constant-velocity facet tip propagation. Numerical calculations using
thermodynamic and transport coefficients previously measured give good
agreement with experiments under the local conservation requirement.
PDF file (165 KB).