Skip to main content
Log in

Analysis of Gate Dielectric Stacks Using the Transmitting Boundary Method

  • Published:
Journal of Computational Electronics Aims and scope Submit manuscript

Abstract

We present simulations of tunneling current through layers of high-κ dielectrics using the Tsu-Esaki model and the quantum transmitting boundary method (QTBM) to estimate the transmission coefficient. In contrast to transfer-matrix based methods, which suffer from numerical instabilities due to rounding errors, the QTBM is numerically stable even for large stacks and is suitable for implementation in device simulators. The method is used to investigate the tradeoff between conduction band offset and permittivity in alternative high-κ materials.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. S. Song et al., Journal of Semiconductor Technology and Science, 1, 103 (2001).

    Google Scholar 

  2. C.B. Duke, Tunneling in Solids (Academic Press New York, 1969).

  3. R. Tsu and L. Esaki, Appl. Phys. Lett., 22, 562 (1973).

    Google Scholar 

  4. K.H. Gundlach, Solid-State Electron., 9, 949 (1966).

    Google Scholar 

  5. Y. Ando and T. Itoh, J. Appl. Phys., 61, 1497 (1987).

    Google Scholar 

  6. D.Z.Y. Ting et al., Physical Review B, 45, 3583 (1992).

    Google Scholar 

  7. D.Y.K. Ko and J.C. Inkson, Physical Review B, 38, 9945 (1988).

    Google Scholar 

  8. T. Usuki et al., Physical Review B, 52, 8244 (1995).

    Google Scholar 

  9. B.A. Biegel, Dissertation (Stanford University, 1997).

  10. W.R. Frensley, Superlattices & Microstructures, 11, 347 (1992).

    Google Scholar 

  11. J. Zhang et al., Solid-State Electron., 44, 2165 (2000).

    Google Scholar 

  12. J.D. Casperson et al., J. Appl. Phys., 92, 261 (2002).

    Google Scholar 

  13. M.L. Roy et al., J. Appl. Phys., 93, 2966 (2003).

    Google Scholar 

  14. C.M. Osburn et al., IBM J. Res. Dev., 46, 299 (2002).

    Google Scholar 

  15. G.D. Wilk et al., J. Appl. Phys., 89, 5243 (2001).

    Google Scholar 

  16. J. Robertson, J. Vac. Sci. Technol., 18, 1785 (2000).

    Google Scholar 

  17. H.-S. P. Wong, IBM J. Res. Dev., 46, 133 (2002).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gehring, A., Kosina, H. & Selberherr, S. Analysis of Gate Dielectric Stacks Using the Transmitting Boundary Method. Journal of Computational Electronics 2, 219–223 (2003). https://doi.org/10.1023/B:JCEL.0000011428.85286.7d

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:JCEL.0000011428.85286.7d

Navigation