2017
DOI: 10.1103/physrevb.96.235432
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Conductivity of graphene in the framework of Dirac model: Interplay between nonzero mass gap and chemical potential

Abstract: The complete theory of electrical conductivity of graphene at arbitrary temperature is developed with taken into account mass-gap parameter and chemical potential. Both the in-plane and outof-plane conductivities of graphene are expressed via the components of the polarization tensor in (2+1)-dimensional space-time analytically continued to the real frequency axis. Simple analytic expressions for both the real and imaginary parts of the conductivity of graphene are obtained at zero and nonzero temperature. The… Show more

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Cited by 28 publications
(62 citation statements)
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“…Calculating the expectation value of the current operator to first order in the vector potential gives us the diamagnetic contribution in the conductivity formula: σ dia = −ρe 2 v 2 /(iΩ). This is akin to the origin of a diamagnetic term in graphene where the energy dispersion is also linear 43,44 .…”
Section: Conductivity Along the Edgementioning
confidence: 95%
“…Calculating the expectation value of the current operator to first order in the vector potential gives us the diamagnetic contribution in the conductivity formula: σ dia = −ρe 2 v 2 /(iΩ). This is akin to the origin of a diamagnetic term in graphene where the energy dispersion is also linear 43,44 .…”
Section: Conductivity Along the Edgementioning
confidence: 95%
“…2(b), as compared to Figs. 1 and 2(a), is the presence of small peaks at ω = 2µ just after the points of each minimum of R. These peaks arise for the reason that at zero temperature Imσ → ∞ when ω → 2µ resulting in an unphysically narrow maximum R = 1 [52].…”
Section: Impact Of Chemical Potential In the Case Of Gapless Gramentioning
confidence: 99%
“…It is well known that the polarization tensor is closely related to the in-plane and out-ofplane nonlocal conductivities of graphene [37,44,45,47,52]…”
Section: Modelmentioning
confidence: 99%
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“…Note that the polarization tensor of graphene is closely connected with the in-plane conductivity of graphene [25][26][27]35] Π 00 (ω, k) = 4πi k 2 ω σ(ω, k).…”
Section: Coated Filmsmentioning
confidence: 99%