Diffusion-Segregation Equation for Simulation in Heterostructures


Diffusion of impurity atoms or point defect species occurs simultaneously with segregation in materials that are inhomogeneous or consisting of heterostructures. Based on thermodynamic principles, a general diffusion-segregation equation (DSE) simultaneously describing the species’ diffusion and segregation behavior has been derived. The DSE treats the diffusion-segregation problems on the same fundamental level as the diffusion problems are treated by Fick’s Laws. A critical comparison of modeling diffusion-segregation phenomena using the DSE vs. previous formulations is given. The wide range of applications of the DSE is demonstrated by several examples.

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  1. 1.

    H.-M. You, U. Gösele, and T. Y. Tan, J. Appl. Phys. 74, 2461 (1993).

    CAS  Article  Google Scholar 

  2. 2.

    D. A. Antoniadis and R. Dutton, IEEE Trans. Electron. Devices ED-26, 490 (1979).

    CAS  Article  Google Scholar 

  3. 3.

    M. Orlowski, Appl. Phys. Lett. 55, 1762 (1989).

    CAS  Article  Google Scholar 

  4. 4.

    T. Y. Tan, H.-M. You, and U. Gösele, Appl. Phys. A56, 249 (1993).

    CAS  Article  Google Scholar 

  5. 5.

    P. Mei, H. W. Yoon, T. Venkatesan, S. A. Schwarz, and J. P. Harbison, Appl. Phys. Lett. 50, 1823 (1987).

    CAS  Article  Google Scholar 

  6. 6.

    H. Schaber, R. V. Criegern, and I. Weitzel, J. Appl. Phys. 58, 4036 (1985).

    CAS  Article  Google Scholar 

  7. 7.

    M. Orlowski and L. Mader (unpublished. Data cited in ref. 3).

  8. 8.

    M. E. Law, Ph.D. thesis, Stanford Electronics Laboratories, Stanford University (January, 1988).

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Our work on Si has been supported by National Renewable Energy Laboratory under subcontract XD-2-11004-1, and our work on GaAs has been supported by US army Research Office under contract DAAL03-89-K-0119.

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Correspondence to R. Gafiteanu.

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Gafiteanu, R., You, HM., Göesele, U. et al. Diffusion-Segregation Equation for Simulation in Heterostructures. MRS Online Proceedings Library 318, 31–37 (1993). https://doi.org/10.1557/PROC-318-31

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