Collective modes of the massless Dirac plasma

Details Collective modes of the massless Dirac plasma Collective modes of the massless Dirac plasma

2009-02-22

arxiv.org/abs/0902.3822v2

Phys. Rev. Lett. 102, 206412 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages

Scientific paper

10.1103/PhysRevLett.102.206412

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 non-classical in all dimensions with the plasma frequency being proportional to \hbar^{-1/2}. 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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