Space-time dispersion of graphene conductivity

By L. A. Falkovsky, A. Varlamov. 2006

681 citations recorded by the source corpus.

Abstract.We present an analytic calculation of the conductivity of pure graphene as a function of frequency ω, wave-vector k, and temperature for the range where the energies related to all these parameters are small in comparison with the band parameter γ≃3 eV, but much larger than the collision rate τ-1. The simple asymptotic expressions are given in various limiting cases. For instance, the conductivity for kv0≪ T≪ω is equal to σ(ω,k)=e2/4ħ and independent of the band structure parameters γ and v0. Our results are also used to explain the known dependence of the graphite conductivity on temperature and pressure.

Subfields: Electrical and Electronic Engineering, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/6a6940e59fd8a3b750f175b7900655bf02d9f2fc

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In Electrical and Electronic Engineering

In Materials Chemistry

Citations in the corpus

Dyadic Green's functions and guided surface waves for a surface conductivity model of graphene (2007, methodology): “With y parallel to the interface normal, the principle Green’s dyadic can be written as23 g 1 p r,r = I e−jk1R 4 R = I 1 2 − e−p1 y−y H0 2 k 4p1 k dk , 10 where Author complimentary copy.”
Graphene-based Plasmonic Nano-Antenna for Terahertz Band Communication in Nanonetworks (2013, positive): “…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 potential.”
Materials perspective on Casimir and van der Waals interactions (2015, methodology): “Describing the graphene response via the 2D universal graphene conductivity σ0 valid in the kBT ~ω limit (Falkovsky and Varlamov, 2007; Nair et al., 2008), other authors (Drosdoff and Woods, 2009) find a unique form of the graphene/graphene Casimir force per unit area A, F0A = − 3~σ0 8πd4 = − 3e2…”
Colloquium: The transport properties of graphene: An introduction (2010, background): “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;”
Colloquium: Graphene spectroscopy (2014, background): “…voltages, deviations from the square-root law are seen Li et al. 9See Ludwig et al. (1994) for Dirac fermions in general and Ando et al. (2002); Falkovsky and Varlamov (2007); Gusynin and Sharapov (2006); Peres et al. (2006); Stauber et al. (2008b); and Ziegler (2007) for SLG. 10See Abergel et…”
Dirac electronic states in graphene systems: optical spectroscopy studies (2010, background): “Interaction of massless Dirac fermions in graphene with light, expressed usually in terms of dynamical (optical) conductivity, has been theoretically treated at different levels of approximation [50, 51, 44, 52, 53, 54, 55, 56, 46, 57, 58, 59].”