Skip to main content

Development of a 3D Parallel Finite Element Monte Carlo Simulator for Nano-MOSFETs

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4818))

Abstract

A parallel 3D Monte Carlo simulator for the modelling of electron transport in nano-MOSFETs using the Finite Element Method to solve Poisson equation is presented. The solver is parallelised using a domain decomposition strategy, whereas the MC is parallelised using an approach based on the distribution of the particles among processors. We have obtained a very good scalability thanks to the Finite Element solver, the most computationally intensive stage in self-consistent simulations. The parallel simulator has been tested by modelling the electron transport at equilibrium in a 4 nm gate length double gate MOSFET.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Aldegunde, M., Pombo, J.J., García-Loureiro, A.: Modified octree mesh generation for Manhattan type structures with narrow layers applied to semiconductor devices. In: Numer, J. (ed.) Model.-Electron. Netw. Device Fields, vol. 19(6), pp. 473–489 (2006)

    Google Scholar 

  2. Banse, F., et al.: Implementation of a Bi-Parallel Monte Carlo Device Simulation on Two Architectures. In: Bubak, M., Hertzberger, B., Sloot, P.M.A. (eds.) HPCN-Europe 1998. LNCS, vol. 1401, pp. 193–202. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  3. Barrett, R., et al.: Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods. SIAM, Philadelphia (2004)

    MATH  Google Scholar 

  4. García-Loureiro, A.J., et al.: Parallel finite element method to solve the 3D Poisson equation and its application to abrupt heterojunction bipolar transistors. Int. J. Numer. Methods Eng. 49(5), 639–652 (2000)

    Article  MATH  Google Scholar 

  5. Group, W., Lusk, E., Skjellum, A.: Using MPI. MIT Press, Boston (1996)

    Google Scholar 

  6. Jensen, G.U., et al.: Monte Carlo Simulation of Semiconductor Devices. Comput. Phys. Commun. 67(1), 1–61 (1991)

    Article  MATH  Google Scholar 

  7. Karypis, G., Kumar, V.: METIS: A software package for partitioning unstructured graphs, partitioning meshes, and computing fill–reducing orderings of sparse matrices. Univ. of Minnesota (1997)

    Google Scholar 

  8. Ranawake, U.A., et al.: PMC-3D: A Parallel Three-Dimensional Monte Carlo Semiconductor Device Simulator. IEEE Trans. Comput-Aided Des. Integr. Circuits Syst. 13(6), 712–724 (1994)

    Article  Google Scholar 

  9. Rees, H.D.: Calculation of distribution functions by exploiting the stability of the steady state. J. Phys. Chem. Solids 30(3), 643–655 (1969)

    Article  MathSciNet  Google Scholar 

  10. Rees, H.D.: Calculation of steady state distribution functions by exploiting stability. Phys. Lett. A 26(9), 416–417 (1968)

    Article  Google Scholar 

  11. Saad, Y.: Iterative Methods for Sparse Linear Systems. PWS Publishing Co. (1996)

    Google Scholar 

  12. Saad, Y., Lo, G.-C., Kuznetsov, S.: PSPARSLIB users manual: A portable library of parallel sparse iterative solvers. Technical report, Univ. of Minnesota, Dept. of Computer Science (1997)

    Google Scholar 

  13. Seoane, N., García-Loureiro, A.: Study of parallel numerical methods for semiconductor device simulation. Int. J. Numer. Model.-Electron. Netw. Device Fields 19(1), 15–32 (2006)

    Article  MATH  Google Scholar 

  14. Zienkiewicz, O.C.: The Finite Element Method. McGraw-Hill, New York (1977)

    MATH  Google Scholar 

  15. The MPI Standard, http://www-unix.mcs.anl.gov/mpi/index.html

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Aldegunde, M., García-Loureiro, A.J., Kalna, K. (2008). Development of a 3D Parallel Finite Element Monte Carlo Simulator for Nano-MOSFETs. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2007. Lecture Notes in Computer Science, vol 4818. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78827-0_11

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-78827-0_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-78825-6

  • Online ISBN: 978-3-540-78827-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics