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Volumn 80, Issue 15, 2009, Pages

Aspect-ratio-dependent driving force for nonuniform alloying in Stranski-Krastanow islands

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EID: 72449175399     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.80.155436     Document Type: Article
Times cited : (20)

References (55)
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    • In Fig., one can notice the sharp angle formed between the M=10 curve and the standard MC-FEM value. Sharper angles are obtained for larger M. This feature is simply due to the straight application of our algorithm which calls FEM only after M accepted moves. This means that (M-1) moves before the theoretical convergence, the iterative procedure is stopped. For large M values this would lead to a non-negligible deviation from the correct result. This problem can be fixed by simply reducing M on the fly during the simulation, e.g., based on the acceptance ratio. We did not discuss this procedure in the text since, at the end, results are obtained using the faster method of Sec.
    • In Fig., one can notice the sharp angle formed between the M=10 curve and the standard MC-FEM value. Sharper angles are obtained for larger M. This feature is simply due to the straight application of our algorithm which calls FEM only after M accepted moves. This means that (M-1) moves before the theoretical convergence, the iterative procedure is stopped. For large M values this would lead to a non-negligible deviation from the correct result. This problem can be fixed by simply reducing M on the fly during the simulation, e.g., based on the acceptance ratio. We did not discuss this procedure in the text since, at the end, results are obtained using the faster method of Sec..
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    • In principle, one should consider position-dependent elastic constants determined by the local concentration value. While we did work out the required generalization of Eq., the formalism becomes rather complex. Since we verified that results negligibly deviate from the c̄ -dependent anisotropic constants choice, which, in turn, yields concentration profiles very close to the even simpler pure-Ge constants case, we shall keep the notation light, without reporting the above generalization. For heteroepitaxial systems, where the difference in elastic constants between the two materials is larger, the extension might be needed.
    • In principle, one should consider position-dependent elastic constants determined by the local concentration value. While we did work out the required generalization of Eq., the formalism becomes rather complex. Since we verified that results negligibly deviate from the c̄ -dependent anisotropic constants choice, which, in turn, yields concentration profiles very close to the even simpler pure-Ge constants case, we shall keep the notation light, without reporting the above generalization. For heteroepitaxial systems, where the difference in elastic constants between the two materials is larger, the extension might be needed.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.