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Collective Modes of the Massless Dirac Plasma

2009/02/23 by S. Das Sarma, E. H. Hwang · 6 citations
Materials Science · Physics and Astronomy · #Graphene research and applications #Quantum Electrodynamics and Casimir Effect #Quantum and electron transport phenomena #cond-mat.mes-hall #cond-mat.mtrl-sci

paper · pdf · doi:10.1103/physrevlett.102.206412

published as Phys. Rev. Lett. 102, 206412 (2009) · 5 pages

arxiv created 2009/02/23 · openalex publication_date 2009/05/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We develop a theory for the long-wavelength plasma oscillation of a collection of charged massless Dirac particles in a solid, as occurring, for example, in doped graphene layers, interacting via the long-range Coulomb interaction. We find that the long-wavelength plasmon frequency in such a doped massless Dirac plasma is explicitly nonclassical in all dimensions with the plasma frequency being proportional to 1/sqrt[variant Planck's over 2pi]. We also show that the long-wavelength plasma frequency of the D-dimensional superlattice made from such a plasma does not agree with the corresponding D + 1-dimensional bulk plasmon frequency. We compare and contrast such Dirac plasmons with the well-studied regular palsmons in metals and doped semiconductors which manifest the usual classical long-wavelength plasma oscillation.

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