Dynamical polarizability of graphene beyond the Dirac cone approximation

Stauber, T. and Schliemann, J. and Peres, N. M. R. (2010) Dynamical polarizability of graphene beyond the Dirac cone approximation. PHYSICAL REVIEW B, 81 (8): 085409. ISSN 1098-0121, 1550-235X

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: INTERCALATED GRAPHITE; DIELECTRIC FUNCTION; CONSTANT;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Grifoni > Group John Schliemann
Depositing User: Dr. Gernot Deinzer
Date Deposited: 10 Aug 2020 09:30
Last Modified: 10 Aug 2020 09:30
URI: https://pred.uni-regensburg.de/id/eprint/25267

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