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Mobility of large clusters on a semiconductor surface: Kinetic Monte Carlo simulation results |
| M Esen1, A T Tüzemen2, M Ozdemir3 |
1. Vocational School of Adana, Cukurova University, Adana 01160, Turkey;
2. Department of Science and Mathematics Education, Faculty of Education, Cumhuriyet University, Sivas 58140, Turkey;
3. Department of Physics, Cukurova University, Adana 01330, Turkey |
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Abstract The mobility of clusters on a semiconductor surface for various values of cluster size is studied as a function of temperature by kinetic Monte Carlo method. The cluster resides on the surface of a square grid. Kinetic processes such as the diffusion of single particles on the surface, their attachment and detachment to/from clusters, diffusion of particles along cluster edges are considered. The clusters considered in this study consist of 150-6000 atoms per cluster on average. A statistical probability of motion to each direction is assigned to each particle where a particle with four nearest neighbors is assumed to be immobile. The mobility of a cluster is found from the root mean square displacement of the center of mass of the cluster as a function of time. It is found that the diffusion coefficient of clusters goes as D= A(T)Nα where N is the average number of particles in the cluster, A(T) is a temperature-dependent constant and α is a parameter with a value of about -0.64< α <-0.75. The value of α is found to be independent of cluster sizes and temperature values (170-220 K) considered in this study. As the diffusion along the perimeter of the cluster becomes prohibitive, the exponent approaches a value of -0.5. The diffusion coefficient is found to change by one order of magnitude as a function of cluster size.
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Received: 15 June 2015
Revised: 04 August 2015
Accepted manuscript online:
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PACS:
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36.40.Sx
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(Diffusion and dynamics of clusters)
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68.43.Jk
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(Diffusion of adsorbates, kinetics of coarsening and aggregation)
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68.43.Mn
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(Adsorption kinetics ?)
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05.10.Ln
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(Monte Carlo methods)
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Corresponding Authors:
M Esen
E-mail: mesen@cu.edu.tr
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Cite this article:
M Esen, A T Tüzemen, M Ozdemir Mobility of large clusters on a semiconductor surface: Kinetic Monte Carlo simulation results 2016 Chin. Phys. B 25 013601
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| [1] |
Voter A F 1986 Phys. Rev. B 34 6819
|
| [2] |
Soler J M 1994 Phys. Rev. B 50 5578
|
| [3] |
Kellogg G L 1994 Phys. Rev. Lett. 73 1833
|
| [4] |
Wen J M, Chang S L, Burnett J W, Evans J W and Thiel P A 1994 Phys. Rev. Lett. 73 2591
|
| [5] |
Morgenstern K, Rosenfeld G, Poelsema B and Comsa G 1995 Phys. Rev. Lett. 74 2058
|
| [6] |
Bogicevic A, Liu S, Jacobsen J, Lundqvist B and Metiu H 1998 Phys. Rev. B 57 R9459
|
| [7] |
Pal S and Fichthorn K A 1999 Phys. Rev. B 60 7804
|
| [8] |
van Siclen C D 1995 Phys. Rev. Lett. 75 1574
|
| [9] |
Khare S V, Bartelt N C and Einstein T L 1995 Phys. Rev. Lett. 75 2148
|
| [10] |
Fichthorn K A and Weinberg W H 1991 J. Chem. Phys. 95 1090
|
| [11] |
Heinonen J, Koponen I, Merikoski J and Ala-Nissila T 1999 Phys. Rev. Lett. 82 2733
|
| [12] |
Carrey J, Maurice J L, Petroff F and Vaures A 2001 Phys. Rev. Lett. 86 4600
|
| [13] |
Noh J D, Lee H K and Park H 2011 Phys. Rev. E 84 010101
|
| [14] |
Lv J P, Yang X and Deng Y 2012 , Phys.Rev. E 86 022105
|
| [15] |
Ehrlich G and Hudda F G 1966 J. Chem. Phys. 44 1039
|
| [16] |
Schwoebel R L and Shipsey E J 1966 J. Appl. Phys. 37 3682
|
| [17] |
Esen M, Tuzemen A T and Ozdemir M 2012 Eur. Phys. J. B 85 117
|
| [18] |
Reuter K 2011 First-Principles Kinetic Monte Carlo Simulations for Heterogeneous Catalysis: Concepts, Status, and Frontiers, in Modeling and Simulation of Heterogeneous Catalytic Reactions: From the Molecular Process to the Technical System (Deutschmann O ed.) (Weinheim: Wiley-VCH) pp. 71-111
|
| [19] |
Taioli S 2014 J. Mol. Model 20 2260
|
| [20] |
Kodambaka S, Khare S V, Petrov I and Greene J E 2006 Surf. Sci. Rep. 60 55
|
| [21] |
Khare S V and Einstein T L 1996 Phys. Rev. B 54 11752
|
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