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A Zero Field Monte Carlo Algorithm Accounting for the Pauli Exclusion Principle

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Large-Scale Scientific Computing (LSSC 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2907))

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Abstract

A Monte Carlo method for calculation of the carrier mobility in degenerate bulk semiconductors at zero electric field is presented. The method is obtained as a limiting case of an existing small-signal approach replacing the distribution function by the Fermi-Dirac distribution which is valid at zero electric field. The general form of the Boltzmann equation which takes into account the Pauli exclusion principle in the scattering term is used to derive the integral representation of a Boltzmann-like equation for a small perturbation of the distribution function. The method allows calculation of the whole mobility tensor in comparison with the one particle Monte Carlo algorithm which is traditionally used to compute low field carrier mobility.

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Author information

Authors and Affiliations

  1. Institute for Microelectronics, TU-Vienna, Gusshausstrasse 27-29/E360, A-1040, Wien, Austria

    Sergey Smirnov, Hans Kosina, Mihail Nedjalkov & Siegfried Selberherr

Authors
  1. Sergey Smirnov
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  2. Hans Kosina
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  3. Mihail Nedjalkov
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  4. Siegfried Selberherr
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Editor information

Editors and Affiliations

  1. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev, Bl. 25A, 1113, Sofia, Bulgaria

    Ivan Lirkov

  2. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. Bl. 25-A, 1113, Sofia, Bulgaria

    Svetozar Margenov

  3. Informatics & Mathematical Modeling, Technical University of Denmark, DK-2800, Lyngby, Denmark

    Jerzy Waśniewski

  4. Center of Applied Mathematics and Informatics, University of Rousse, 7017, Rousse, Bulgaria

    Plamen Yalamov

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© 2004 Springer-Verlag Berlin Heidelberg

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Smirnov, S., Kosina, H., Nedjalkov, M., Selberherr, S. (2004). A Zero Field Monte Carlo Algorithm Accounting for the Pauli Exclusion Principle. In: Lirkov, I., Margenov, S., Waśniewski, J., Yalamov, P. (eds) Large-Scale Scientific Computing. LSSC 2003. Lecture Notes in Computer Science, vol 2907. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24588-9_20

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  • DOI: https://doi.org/10.1007/978-3-540-24588-9_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-21090-0

  • Online ISBN: 978-3-540-24588-9

  • eBook Packages: Springer Book Archive

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