Campus Units

Mathematics, Ames Laboratory

Document Type

Article

Publication Version

Published Version

Publication Date

3-2006

Journal or Book Title

Physical Review B

Volume

73

Issue

12

First Page

125434-1

Last Page

125434-13

DOI

10.1103/PhysRevB.73.125434

Abstract

Step-dynamics models are developed for mound shape evolution during multilayer homoepitaxial growth in the presence of inhibited interlayer transport. Unconventionally, our models also incorporate downward funneling (DF) of atoms deposited at step edges. The extent of DF can be reduced continuously to zero where one recovers traditional step dynamics models. This allows direct comparison between the behavior of models with and without DF. We show that DF greatly enhances growth of the height of valleys at the mound bases to an extent compatible with slope selection. To elucidate the selected shapes of finite mounds, we consider a suitably defined net flux of adatom attachment at steps summed over a mound side between valley and peak. This quantity varies periodically but vanishes when further averaged over time, a condition which directly constrains the selected mound shapes. We also characterize the dependence of these shapes on the prescription of nucleation of new islands at the mound peak.

Comments

This article is from Physical Review B 73 (2006): 125434, doi: 10.1103/PhysRevB.73.125434. Posted with permission.

Copyright Owner

American Physical Society

Language

en

File Format

application/pdf

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