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 . We also show that the long-wavelength plasma frequency of the -dimensional superlattice made from such a plasma does not agree with the corresponding -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.
- Received 24 March 2009
DOI:https://doi.org/10.1103/PhysRevLett.102.206412
©2009 American Physical Society