Journal
PHYSICAL REVIEW B
Volume 81, Issue 8, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.81.085409
Keywords
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Funding
- FCT [PTDC/FIS/64404/2006, PTDC/FIS/101434/2008]
- Deutsche Forschungsgemeinschaft [1570]
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We compute the dynamical polarizability of graphene beyond the usual Dirac cone approximation, integrating over the full Brillouin zone. We find deviations at (h) over bar omega=2t (where t is the hopping parameter) which amount to a logarithmic singularity due to the Van Hove singularity and derive an approximate analytical expression. Also at low energies, we find deviations from the results obtained from the Dirac cone approximation which manifest themselves in a peak spitting at arbitrary direction of the incoming wave vector q. Consequences for the plasmon spectrum are discussed.
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