Minimal conductivity of graphene: Nonuniversal values from the Kubo formula

2007/01/31 by K. Ziegler · 4 citations
Materials Science · Physics and Astronomy · #Carbon Nanotubes in Composites #Graphene research and applications #Thermal properties of materials #cond-mat.dis-nn

paper · pdf · doi:10.1103/physrevb.75.233407

published as Phys. Rev. B 75, 233407 (2007) · 5 pages, 1 figure, extended version

arxiv created 2007/05/25 · openalex publication_date 2007/06/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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∕\ensuremathπ (in units of e²∕h) and it is \ensuremathπ∕2 in the reverse order. The value \ensuremathπ is obtained if weak disorder is included via a small frequency-dependent self-energy. In the high-frequency limit, the minimal conductivity approaches \ensuremathπ∕2 and drops to zero if the frequency exceeds the cutoff energy of the particles.

Citations

• Sub-Poissonian Shot Noise in Graphene
• Transport of Dirac quasiparticles in graphene: Hall and optical conductivities
• Quantum Hall Ferromagnetism in Graphene
• Zitterbewegung, chirality, and minimal conductivity in graphene

Cited by

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• Quantized coexisting electrons and holes in graphene measured using temperature-dependent magnetotransport
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• Optical Hall conductivity of systems with gapped spectral nodes