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Application of Gutzwiller’s Correlated Method to the Electronic Effective Mass of Degenerate N-Type Silicon

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Applications of Statistical and Field Theory Methods to Condensed Matter

Part of the book series: NATO ASI Series ((NSSB,volume 218))

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Abstract

The effective mass m* of Si:P is calculated for donor concentration N at which experimental data are available. Within the framework of Gutzwiller’s variational method for highy correlated system1, we have performed the calculation following a Brinkman-Rice-Berggren-Ferreira da Silva scheme1.Here we have applied a variational treatment which takes into account the many-valley effect of the silicon semiconductor 3. The m* obtained is written as

$$\rm{m^\ast\ =\ \mid 1\ -\ (U/U^2_0)\mid^{-^1}}\ ,$$
(1)

where U is the Hubbard correlation energy and Uo is the average energy without correlation2. The results are given in Table 1. The quantitative agreement between our calculation and experiment4 is certainly satisfactory.

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References

  1. M. C. Gutzwiller, Phys. Rev. 137:A1726 (1965).

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  2. W. F. Brinkman and T. M. Rice, Phys. Rev. B2:4302 (1970); K.-F. Berggren, Phil. Mag. 30:1 (1970); A. Ferreira da Silva, Phys. Rev. B38: 10055 (1988).

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  3. A. Ferreira da Silva, Phys. Rev. Lett. 59:1263 (1987); Phys. Rev. B37:4499 (1988).

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  4. N. Kobayashi, S. Ikehata, S. Kobayashi, Solid State Commun. 24:67 (1977).

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Author information

Authors and Affiliations

  1. Instituto de Física, UFBa, Campus da Federação, 40210, Salvador, Bahia, Brazil

    A. Ferreira da Silva

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  1. A. Ferreira da Silva
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Editors and Affiliations

  1. University of Fribourg, Fribourg, Switzerland

    Dionys Baeriswyl

  2. Los Alamos National Laboratory, Los Alamos, New Mexico, USA

    Alan R. Bishop

  3. University of Évora, Évora, Portugal

    José Carmelo

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© 1990 Plenum Press, New York

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Ferreira da Silva, A. (1990). Application of Gutzwiller’s Correlated Method to the Electronic Effective Mass of Degenerate N-Type Silicon. In: Baeriswyl, D., Bishop, A.R., Carmelo, J. (eds) Applications of Statistical and Field Theory Methods to Condensed Matter. NATO ASI Series, vol 218. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5763-6_27

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  • DOI: https://doi.org/10.1007/978-1-4684-5763-6_27

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-5765-0

  • Online ISBN: 978-1-4684-5763-6

  • eBook Packages: Springer Book Archive

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