Saturation and scaling of epitaxial island densities

C Ratsch, A Zangwill, P Šmilauer, DD Vvedensky - Physical review letters, 1994 - APS
C Ratsch, A Zangwill, P Šmilauer, DD Vvedensky
Physical review letters, 1994APS
The aggregation of adatoms into 2D islands is studied as a function of coverage FTHETA
and the ratio of surface diffusion rate to deposition rate gerR= D/F by Monte Carlo
simulations of a model of epitaxial growth that permits atoms to detach from island edges at
a rate determined by a pair bond energy E N. The total island density is observed to saturate
before coalescence becomes important. In this regime, the density of adatoms N 1∼
FTHETA− r gerR− ω while the density of islands composed of s> 1 atoms N s∼ FTHETA< …
Abstract
The aggregation of adatoms into 2D islands is studied as a function of coverage FTHETA and the ratio of surface diffusion rate to deposition rate gerR= D/F by Monte Carlo simulations of a model of epitaxial growth that permits atoms to detach from island edges at a rate determined by a pair bond energy E N. The total island density is observed to saturate before coalescence becomes important. In this regime, the density of adatoms N 1∼ FTHETA− r gerR− ω while the density of islands composed of s> 1 atoms N s∼ FTHETA< s>− 2 g (s/< s>) where the average island size< s>∼ FTHETAgerR x. The exponents r, ω, and χ vary smoothly with E N.
American Physical Society
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