Analysis of an Energy Localization Approximation applied to three-dimensional Kinetic Monte Carlo simulations of heteroepitaxial growth

2016 ◽  
Vol 95 ◽  
pp. 708-718
Author(s):  
Kyle L. Golenbiewski ◽  
Tim P. Schulze
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Kinetic Monte Carlo ◽  
Three Dimensional ◽  
Energy Localization ◽  
Heteroepitaxial Growth ◽  
Kinetic Monte Carlo Simulations

Simulation of Three-Dimensional Strained Heteroepitaxial Growth Using Kinetic Monte Carlo

2011 ◽  
Vol 10 (5) ◽  
pp. 1089-1112 ◽  
Author(s):  
Tim P. Schulze ◽  
Peter Smereka
Keyword(s):  
Monte Carlo ◽  
Elastic Energy ◽  
Kinetic Monte Carlo ◽  
Three Dimensional ◽  
Energy Localization ◽  
Heteroepitaxial Growth ◽  
Basic Algorithm ◽  
Efficient Manner ◽  
Elastic Energy Density ◽  
Stacked Quantum Dots

AbstractEfficient algorithms for the simulation of strained heteroepitaxial growth with intermixing in 2+1 dimensions are presented. The first of these algorithms is an extension of the energy localization method [T. P. Schulze and P. Smereka, An energy localization principle and its application to fast kinetic Monte Carlo simulation of heteroepitaxial growth, J. Mech. Phys. Sol., 3 (2009), 521-538] from 1+1 to 2+1 dimensions. Two approximations of this basic algorithm are then introduced, one of which treats adatoms in a more efficient manner, while the other makes use of an approximation of the change in elastic energy in terms of local elastic energy density. In both cases, it is demonstrated that a reasonable level of fidelity is achieved. Results are presented showing how the film morphology is affected by misfit and deposition rate. In addition, simulations of stacked quantum dots are also presented.

Kinetic Monte Carlo simulations of three-dimensional self-assembled quantum dot islands

2014 ◽  
Vol 23 (1) ◽  
pp. 016802
Author(s):  
Xin Song ◽  
Hao Feng ◽  
Yu-Min Liu ◽  
Zhong-Yuan Yu ◽  
Hao-Zhi Yin
Keyword(s):  
Monte Carlo ◽  
Quantum Dot ◽  
Monte Carlo Simulations ◽  
Kinetic Monte Carlo ◽  
Three Dimensional ◽  
Kinetic Monte Carlo Simulations ◽  
Self Assembled
Sign in / Sign up

Export Citation Format

Share Document