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Finite element based three dimensional Schrödinger solver for nano-scale devices

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Abstract

Using a finite element based treatment, the Schrödinger equation is solved in 3D for non-planer devices like FinFETs. Discrete states appearing because of three dimensional geometric and electrostatic confinement in a FinFET are used to calculate the quantum mechanical charge which is solved self-consistently with the Poisson equation in FIELDAY. A hybrid approach is used in which the Schrödinger solver is active in a smaller region and continuum models are used in the remaining simulation domain. The domain is chosen such that it is possible to match the quantum charge and the continuum charge. The methodology and results from this Schrödinger–Poisson solver are presented here and the need to include these effects is highlighted.

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References

  1. Paasch, G., bensee, H.: Phys. Status Solidi (b) 113(1), 165 (1982). doi:10.1002/pssb.2221130116

    Article  Google Scholar 

  2. Ieong, J.S.M., Logan, R.: In SISPAD, pp. 129–132 (1998)

  3. Entner, R., Gehring, A., Grasser, T., Selberherr, S.: In 27th International Spring Seminar on Electronics Technology: Meeting the Challenges of Electronics Technology Progress, vol. 1, pp. 114–117 (2004). doi:10.1109/ISSE.2004.1490388

  4. van Dort, M., Woerlee, P., Walker, A.: Solid-State Electron. 37(3), 411 (1994). doi:10.1016/0038-1101(94)90005-1

    Article  Google Scholar 

  5. van Dort, M., Woerlee, P., Walker, A., Juffermans, C., Lifka, H.: IEEE Trans. Electron. Devices 39(4), 932 (1992). doi:10.1109/16.127485

    Article  Google Scholar 

  6. Archambaud, Y., Berthon, A., Bouyer, J., Caquot, E., Gabillard, B., Mottet, S., Poncet, A., Salmer, G.: In NASCODE V. Proceedings of the Fifth International Conference on the Numerical Analysis of Semiconductor Devices and Integrated Circuits, pp. 93–98 (1987). doi:10.1109/NASCOD.1987.721128

  7. Ram-Mohan, L.: Finite Element and Boundary Element Applications in Quantum Mechanics. Oxford University Press, Oxford (2002)

    Google Scholar 

  8. Datta, S.: Quantum Transport: Atom to Transistor. Cambridge University Press, Cambridge (2005)

    Book  Google Scholar 

Download references

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Authors and Affiliations

  1. IBM Semiconductor Research and Development Center, Bangalore, India

    Samarth Agarwal, Mohit Bajaj & K. V. R. M. Murali

  2. IBM Microelectronics Division, Hopewell Junction, NY, USA

    Kai Xiu & Phil Oldiges

  3. IBM Microelectronics Division, Essex Junction, VT, USA

    Jeffrey B. Johnson & Stephen Furkay

Authors
  1. Samarth Agarwal
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  2. Kai Xiu
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  3. Mohit Bajaj
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  4. Jeffrey B. Johnson
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  5. Stephen Furkay
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  6. Phil Oldiges
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  7. K. V. R. M. Murali
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Correspondence to Samarth Agarwal.

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Agarwal, S., Xiu, K., Bajaj, M. et al. Finite element based three dimensional Schrödinger solver for nano-scale devices. J Comput Electron 14, 163–166 (2015). https://doi.org/10.1007/s10825-014-0610-z

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  • DOI: https://doi.org/10.1007/s10825-014-0610-z

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