Kramers-Kronig relation of graphene conductivity

Details Kramers-Kronig relation of graphene conductivity Kramers-Kronig relation of graphene conductivity

2008-03-25

arxiv.org/abs/0803.3488v1

J. Phys.: Cond.Matter, 20, 271553(2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages

Scientific paper

10.1088/0953-8984/20/17/175222

Utilizing a complete Lorentz-covariant and local-gauge-invariant formulation, we discuss graphene response to arbitrary external electric field. The relation, which is called as Kramers-Kr(\ddot{o})nig relation in the paper, between imaginary part and real part of ac conductivity is given. We point out there exists an ambiguity in the conductivity computing, attributed to the wick behavior at ultraviolet vicinity. We argue that to study electrical response of graphene completely, non-perturbational contribution should be considered.

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