Computation of strained epitaxial growth in three dimensions by kinetic Monte Carlo

Journal of Computational Physics

Volumn 214, Issue 2, 2006, Pages 809-828

  Russo, Giovanni ^a   Smereka, Peter ^b  

^a UNIVERSITY OF CATANIA   (Italy)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Epitaxial growth; Kinetic Monte Carlo; Strain

Indexed keywords

CONJUGATE GRADIENT METHOD; FAST FOURIER TRANSFORMS; KINETICS; MONTE CARLO METHODS; NUMERICAL METHODS;

CUBIC LATTICE; DISPLACEMENT FIELD; ELASTIC EFFECTS; EXACT SOLUTION; FORCEFIELDS; KINETIC MONTE CARLO; MECHANICAL EQUILIBRIUM; SOLID-ON-SOLID MODELS; SYSTEMS OF EQUATIONS; THREE DIMENSIONS;

EPITAXIAL GROWTH;

EID: 33644966137     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2005.10.008     Document Type: Article

References (24)

1. The FFTW package was developed at MIT by Matteo Frigo and Steven G. Johnson. Informations can be found at the site http://www.fftw.org/.
2. J.G. Amar F. Family Mound formation, coarsening and instabilities in epitaxial growth Surf. Rev. Lett. 5 1998 851-864
3. M. Biehl M. Ahr W. Kinzel F. Much Kinetic Monte Carlo simulations of heteroepitaxial growth Thin Solid Films 428 2003 52-55
4. A.B. Bortz M.K. Kalos J.L. Lebowitz New algorithm for Monte-Carlo simulation of Ising spin systems J. Comput. Phys. 17 1975 10-18
5. W.K. Burton N. Cabrera F.C. Frank The growth of crystals and the equilibrium structure of their surfaces Trans. R. Soc. Lond. Ser. A 243 1951 299-358
6. M.D. Johnson C. Orme A.W. Hunt D. Graff J. Sudijono L.M. Sander B.G. Orr Stable and unstable growth in molecular beam epitaxy Phys. Rev. Lett. 72 1994 116-119
7. J. Krug P. Politi T. Michely Island nucleation in the presence of step-edge barriers: Theory and applications Phys. Rev. B 61 2000 14037
8. C.H. Lam C.K. Lee L.M. Sander Competing roughening mechanisms in strained heteroepitaxy: A fast kinetic Monte Carlo study Phys. Rev. Lett. 89 1-4 2002 16102
9. M.T. Lung, C.-H. Lam, L.M. Sander, Island, pit and groove formation in strained heteroepitaxy, preprint.
10. F. Much M. Ahr M. Biehl W. Kinzel A kinetic Monte Carlo method for the simulation of heteroepitaxial growth Comput. Phys. Commun. 147 2002 226-229
11. A. Hilliges, C. Mehl, V. Mehrmann, On the solution of palindromic eigenvalue problems, in: Proceedings of the European Congress on Computational Methods in Applied Sciences and Engineering, Jyváskylá, July 24-28, 2004.
12. F. Much M. Biehl Simulation of wetting-layer and island formation in heteroepitaxial growth Europhys. Lett. 63 2003 14-20
13. M.E.J. Newman G.T. Barkema Monte Carlo Methods in Statistical Physics 1999 Oxford University Press New York
14. B.G. Orr D.A. Kessler C.W. Snyder L.M. Sander A model for strain-induced roughening and coherent island growth Europhys. Lett. 19 1992 33-38
15. P. Politi G. Grenet A. Marty A. Ponchet J. Villain Instabilities in crystal growth by atomic or molecular beams Phys. Rep. 324 2000 271
16. C. Ratsch M.C. Wheeler M.F. Gyure Roughening due to edge diffusion for irreversible aggregation Phys. Rev. B 62 2000 12636
17. C. Ratsch A. Zangwill P. Šmilauer Scaling of heteroepitaxial island sizes Surf. Sci. Lett. 314 1994 L937-L942
18. C. Ratsch A. Zangwill Equilibrium theory of the Stranski - Krastanov epitaxial morphology Surf. Sci. 293 1993 123-131
19. C. Ratsch P. Šmilauer D.D. Vvedensky A. Zangwill Mechanism for coherent island formation during heteroepitaxy J. Phys. I France 6 1996 575-581
20. J.M. Rickman D.J. Srolovitz Defect interactions on solid surfaces Surf. Sci. 284 1993 211-221
21. A.C. Schindler M.F. Gyure G.D. Simms D.D. Vvedensky R.E. Caflisch C. Connell E. Lou Theory of strain relaxation in heteroepitaxial systems Phys. Rev. B 67 2003 075316
22. V.A. Shchukin D. Bimberg Spontaneous ordering of nanostructure on crystal surfaces Rev. Mod. Phys. 71 1999 1125
23. M. Schroeder D.E. Wolf Diffusion on strained surfaces Surf. Sci. 375 1997 129-140
24. J. Tersoff F.K. LeGoues Competing relaxation mechanisms in strained layers Phys. Rev. Lett. 72 1994 3570