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      Efficient graphene-based photodetector with two cavities

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          Abstract

          We present an efficient graphene-based photodetector with two Fabri-P\'erot cavities. It is shown that the absorption can reach almost 100% around a given frequency, which is determined by the two-cavity lengths. It is also shown that hysteresis in the absorbance is possible, with the transmittance amplitude of the mirrors working as an external driving field. The role of non-linear contributions to the optical susceptibility of graphene is discussed.

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          Total light absorption in graphene

          We demonstrate that 100% light absorption can take place in a single patterned sheet of doped graphene. General analysis shows that a planar array of small lossy particles exhibits full absorption under critical-coupling conditions provided the cross section of each individual particle is comparable to the area of the lattice unit-cell. Specifically, arrays of doped graphene nanodisks display full absorption when supported on a substrate under total internal reflection, and also when lying on a dielectric layer coating a metal. Our results are relevant for infrared light detectors and sources, which can be made tunable via electrostatic doping of graphene.
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            The optical conductivity of graphene in the visible region of the spectrum

            We compute the optical conductivity of graphene beyond the usual Dirac cone approximation, giving results that are valid in the visible region of the conductivity spectrum. The effect of next nearest neighbor hoping is also discussed. Using the full expression for the optical conductivity, the transmission and reflection coefficients are given. We find that even in the optical regime the corrections to the Dirac cone approximation are surprisingly small (a few percent). Our results help in the interpretation of the experimental results reported by Nair {\it et al.} [Science {\bf 320}, 1308 (2008)].
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              Space-time dispersion of graphene conductivity

              We present an analytic calculation of the conductivity of pure graphene as a function of frequency \(\omega \), wave-vector \(k\), and temperature for the range where the energies related to all these parameters are small in comparison with the band parameter \(\gamma =3\) eV. The simple asymptotic expressions are given in various limiting cases. For instance, the conductivity for \(kv_{0}\ll T\ll \omega \) is equal to \(\sigma (\omega, k)=e^{2}/4\hbar \) and independent of the band structure parameters \(\gamma \) and \(v_{0}\). Our results are also used to explain the known dependence of the graphite conductivity on temperature and pressure.
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                Author and article information

                Journal
                16 January 2012
                2012-03-28
                Article
                10.1103/PhysRevB.85.115438
                1201.3175
                35080700-cda5-44e7-8da6-ae37ad1e96d4

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                Phys. Rev. B 85, 115438 (2012)
                10 pages, 8 figures. published version: minor revision
                cond-mat.mes-hall cond-mat.mtrl-sci

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