Zitterbewegung, chirality, and minimal conductivity in graphene

By M. Katsnelson. 2005

514 citations recorded by the source corpus.

Abstract.It has been recently demonstrated experimentally that graphene, or single-layer carbon, is a gapless semiconductor with massless Dirac energy spectrum. A finite conductivity per channel of order of e2/h in the limit of zero temperature and zero charge carrier density is one of the striking features of this system. Here we analyze this peculiarity based on the Kubo and Landauer formulas. The appearance of a finite conductivity without scattering is shown to be a characteristic property of Dirac chiral fermions in two dimensions.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry, Physical and Theoretical Chemistry

View Paper: https://www.semanticscholar.org/paper/912763740e4e091c48592f7751523eae7070a145

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In Atomic and Molecular Physics, and Optics

In Materials Chemistry

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Citations in the corpus

Charge transport in disordered graphene-based low dimensional materials (2008, background): “[87℄ Novoselov, K. S.; Geim, A. K.; Morozov, S. V.; Jiang, D.; Katsnelson, M. I.; Grigorieva, I. V.; Dubonos, S. V.; Firsov, A.A. Nature 2005, 438, 197.”
Dirac electronic states in graphene systems: optical spectroscopy studies (2010, background): “ today into a broad research ﬁeld of qualitatively new two-dimensional systems [15]. The challenging expectation are that graphene will introduce quantum electrodynamics into solid state laboratories [16, 17, 18,19] andthat itwill constitute the basis for future electronics plausible avoiding the kn”
Electronic transport in two-dimensional graphene (2010, methodology): “Other works calculated σm using different models and approximations for regimes less relevant for current experiments (Adam and Das Sarma, 2008a; Cserti, 2007; Cserti et al., 2007; Groth et al., 2008; Katsnelson, 2006; Trushin et al., 2010; Trushin and Schliemann, 2007).”
Colloquium: The transport properties of graphene: An introduction (2010, background): “The scattering problem requires writing the wave function on the left and right leads, and on the central region (Katsnelson, 2006; Tworzydlo et al., 2006).”
The electronic properties of graphene (2007, methodology): “Going beyond the linear Thomas-Fermi regime, it has been shown that the Coulomblaw is modi ed (Fogler et al., 2007b; Katsnelson, 2006a;Zhang and Fogler, 2007).”