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Quantum Effects in Plasma Dielectric Response: Plasmons and Shielding in Normal Systems and Graphene

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Introduction to Complex Plasmas

Part of the book series: Springer Series on Atomic, Optical, and Plasma Physics ((SSAOPP,volume 59))

Abstract

A brief review of quantum plasma theory and phenomenology in solid-state plasmas is presented here, with attention to dynamic and nonlocal features of dielectric response. Focussing on the random-phase approximation, we discuss the RPA screening and dielectric functions in three, two, and one dimensions corresponding to bulk, quantum well, and quantum wire plasmas, respectively, taking care to distinguish quantum effects from classical ones mandated by the correspondence principle. In particular, we exhibit plasmon dispersion, damping, and static shielding in these various dimensionalities. We also review Landau-quantized magnetoplasma phenomenology, with emphasis on de Haas–van Alphen oscillatory features in intermediate strength magnetic fields and the quantum strong field limit in which only the lowest Landau eigenstate is populated. Graphene is an exceptionally device-friendly material, with a massless relativistic Dirac energy spectrum for electrons and holes. We exhibit its RPA dynamic, nonlocal dielectric function in detail, discussing Graphene plasmons and electromagnetic modes in the THz range, self-energy, fast particle energy loss spectroscopy, atom/van der Waals interaction, and static shielding of impurity scatterers limiting dc transport in Graphene.

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Author information

Authors and Affiliations

  1. Department of Physics and Engineering Physics, Stevens Institute of Technology, Hoboken, New Jersey, 07030, USA

    Norman J. M. Horing

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  1. Norman J. M. Horing
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Correspondence to Norman J. M. Horing .

Editor information

Editors and Affiliations

  1. Inst. Theoretische Physik und, Astrophysik, Universität Kiel, Leibnizstr. 15, Kiel, 24098, Germany

    Michael Bonitz

  2. Dept. Physics, Stevens Institute of Technology, Castle Point on Hudson, Hoboken, 07030, USA

    Norman Horing

  3. Inst. Theoretische Physik und, Astrophysik, Universität Kiel, Leibnizstr. 15, Kiel, 24098, Germany

    Patrick Ludwig

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Horing, N.J.M. (2010). Quantum Effects in Plasma Dielectric Response: Plasmons and Shielding in Normal Systems and Graphene. In: Bonitz, M., Horing, N., Ludwig, P. (eds) Introduction to Complex Plasmas. Springer Series on Atomic, Optical, and Plasma Physics, vol 59. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10592-0_5

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  • DOI: https://doi.org/10.1007/978-3-642-10592-0_5

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  • Online ISBN: 978-3-642-10592-0

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