Minimal conductivity of graphene : Nonuniversal values from the Kubo formula

By K. Ziegler. 2007

185 citations recorded by the source corpus.

The minimal conductivity of graphene is a quantity measured in the dc limit. It is shown, using the Kubo formula, that the actual value of the minimal conductivity is sensitive to the order in which certain limits are taken. If the dc limit is taken before the integration over energies is performed, the minimal conductivity of graphene is $4∕\ensuremath{\pi}$ (in units of ${e}^{2}∕h$) and it is $\ensuremath{\pi}∕2$ in the reverse order. The value $\ensuremath{\pi}$ is obtained if weak disorder is included via a small frequency-dependent self-energy. In the high-frequency limit, the minimal conductivity approaches $\ensuremath{\pi}∕2$ and drops to zero if the frequency exceeds the cutoff energy of the particles.

Subfields: Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/dd117cc254dde52349442cbf48d350d311560789

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In Materials Chemistry

Citations in the corpus

Colloquium: Graphene spectroscopy (2014, background): “[However, ω 1⁄4 0 is, strictly speaking, a singular point (Ziegler, 2007).”
Colloquium: The transport properties of graphene: An introduction (2010, result): “Many have reached the same result using different approaches (Dóra et al., 2008; Ziegler, 2007).”
Dyadic Green's Functions for an Anisotropic, Non-Local Model of Biased Graphene (2008, background): “The interband conductivity is on the order of [28], and at room temperatures and for frequencies below the THz regime, the interband conductivity is very small compared to the intraband term, and usually can be ignored.”