AC CONDUCTIVITY OF GRAPHENE: FROM TIGHT-BINDING MODEL TO 2 + 1-DIMENSIONAL QUANTUM ELECTRODYNAMICS

By Valery P. Gusynin, S. Sharapov, J. P. Carbotte. 2007

306 citations recorded by the source corpus.

We consider the relationship between the tight-binding Hamiltonian of the two-dimensional honeycomb lattice of carbon atoms with nearest neighbor hopping only and the 2 + 1 dimensional Hamiltonian of quantum electrodynamics, which follows in the continuum limit. We pay particular attention to the symmetries of the free Dirac fermions including spatial inversion, time reversal, charge conjugation and chirality. We illustrate the power of such a mapping by considering the effect of the possible symmetry breaking, which corresponds to the creation of a finite Dirac mass, on various optical properties. In particular, we consider the diagonal AC conductivity with emphasis on how the finite Dirac mass might manifest itself in experiment. The optical sum rules for the diagonal and Hall conductivities are discussed.

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

View Paper: https://www.semanticscholar.org/paper/d38179f44ccea18ddeb2fb7a000d8e2b749f67e7

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In Atomic and Molecular Physics, and Optics

In Materials Chemistry

Citations in the corpus

Graphene-based Plasmonic Nano-Antenna for Terahertz Band Communication in Nanonetworks (2013, methodology): “Following the procedure described in [15], [29], and contrary to many existing conductivity analysis which are only valid for infinitely large graphene sheets [8], [9], [11], [12], [28], [35], we do not make any simplifying assumption on the energy band structure of AGNRs, temperature or chemical po”
Colloquium: The transport properties of graphene: An introduction (2010, methodology): “The transmittance is calculated from the solution of Fresnel’s equations, reading (Abergel et al., 2007; Blake et al., 2007; Pedersen, 2003; Stauber et al., 2008b) T = |1 + σ(ω)/(2c 0)|−2 , (48) where σ(ω) is the the optical conductivity (Falkovsky and Pershoguba, 2007; Falkovsky and Varlamov, 2007;”
Dirac electronic states in graphene systems: optical spectroscopy studies (2010, background): “A number of papers which review the graphene-related physics has already appeared within last few years [33, 1, 34, 2, 35, 36, 15], but the progress in this research area is extremely fast.”