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Fast Kinetic Monte Carlo Simulation of Strained Heteroepitaxy in Three Dimensions

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Abstract

Accelerated algorithms for simulating the morphological evolution of strained heteroepitaxy based on a ball and spring lattice model in three dimensions are explained. We derive exact Green’s function formalisms for boundary values in the associated lattice elasticity problems. The computational efficiency is further enhanced by using a superparticle surface coarsening approximation. Atomic hoppings simulating surface diffusion are sampled using a multi-step acceptance-rejection algorithm. It utilizes quick estimates of the atomic elastic energies from extensively tabulated values modulated by the local strain. A parameter controls the compromise between accuracy and efficiency of the acceptance-rejection algorithm.

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Authors and Affiliations

  1. Department of Applied Physics, Hong Kong Polytechnic University, Hung Hom, Hong Kong, China

    Chi-Hang Lam & M. T. Lung

  2. Michigan Center for Theoretical Physics, Department of Physics, Randall Laboratory, University of Michigan, Ann Arbor, MI, 48109-1120, USA

    Leonard M. Sander

Authors
  1. Chi-Hang Lam
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  2. M. T. Lung
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  3. Leonard M. Sander
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Correspondence to Leonard M. Sander.

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Lam, CH., Lung, M.T. & Sander, L.M. Fast Kinetic Monte Carlo Simulation of Strained Heteroepitaxy in Three Dimensions. J Sci Comput 37, 73–88 (2008). https://doi.org/10.1007/s10915-008-9205-9

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  • DOI: https://doi.org/10.1007/s10915-008-9205-9

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