Recent advancements in metamaterials and plasmonics have promised a number of exciting applications, in particular at terahertz and optical frequencies. Unfortunately, the noble metals used in these photonic structures are not particularly good conductors at high frequencies, resulting in significant dissipative loss. Here, we address the question of what is a good conductor for metamaterials and plasmonics. For resonant metamaterials, we develop a figure-of-merit for conductors that allows for a straightforward classification of conducting materials according to the resulting dissipative loss in the metamaterial. Application of our method predicts that graphene and high-Tc superconductors are not viable alternatives for metals in metamaterials. We also provide an overview of a number of transition metals, alkali metals and transparent conducting oxides. For plasmonic systems, we predict that graphene and high-Tc superconductors cannot outperform gold as a platform for surface plasmon polaritons, because graphene has a smaller propagation length-to-wavelength ratio.
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Smith, D. R., Pendry, J. B. & Wiltshire, M. C. K. Metamaterials and negative refractive index. Science 305, 788–792 (2004).
Shalaev, V. M. Optical negative-index metamaterials. Nature Photon. 1, 41–48 (2006).
Soukoulis, C. M. & Wegener, M. Optical metamaterials—more bulky and less lossy. Science 330, 1633–1634 (2010).
Yen, T. J. et al. Terahertz magnetic response from artificial materials. Science 303, 1494–1496 (2004).
Linden, S. et al. Magnetic response of metamaterials at 100 terahertz. Science 306, 1351–1353 (2004).
Enkrich, C. et al. Magnetic metamaterials at telecommunication and visible frequencies. Phys. Rev. Lett. 95, 203901 (2005).
Shelby, R. A., Smith, D. R. & Schultz, S. Experimental verification of a negative index of refraction. Science 292, 77–79 (2001).
Zhang, S. et al. Experimental demonstration of near-infrared negative index metamaterials. Phys. Rev. Lett. 95, 137404 (2005).
Shalaev, V. M. et al. Negative index of refraction in optical metamaterials. Opt. Lett. 30, 3356–3358 (2005).
Plum, E. et al. Metamaterial with negative index due to chirality. Phys. Rev. B 79, 035407 (2009).
Economou, E. N. Surface plasmons in thin films. Phys. Rev. 182, 539–554 (1969).
Boardman, A. D. Electromagnetic Surface Modes (Wiley, 1982).
Maier, S. A. & Atwater, H. A. Plasmonics: localization and guiding of electromagnetic energy in metal/dielectric structures. J. Appl. Phys. 98, 011101 (2005).
Gramotnev, D. K. & Bozhevolnyi, S. I. Plasmonics beyond the diffraction limit. Nature Photon. 4, 83–91 (2010).
Catchpole, K. R. & Polman, A. Plasmonic solar cells. Opt. Express 16, 21793–21800 (2008).
Soukoulis, C. M., Zhou, J., Koschny, T., Kafesaki, M. & Economou, E. N. The science of negative index materials. J. Phys. Condens. Matter 20, 304217 (2008).
Bozhevolnyi, S. I., Volkov, V. S., Devaux, E. & Ebbesen T. W. Channel plasmon-polariton guiding by subwavelength metal grooves. Phys. Rev. Lett. 95, 046802 (2005).
Kolomenski, A., Kolomenskii, A., Noel, J., Peng, S. & Schuessler, H. Propagation length of surface plasmons in a metal film with roughness. Appl. Opt. 48, 5683–5691 (2009).
Boltasseva, A. & Atwater, H. A. Low-loss plasmonic metamaterials. Science 331, 290–291 (2011).
Vakil, A. & Engheta, N. Transformation optics using graphene. Science 332, 1291–1294 (2011).
Koppens, F. H. L., Chang, D. E. & García de Abajo, F. J. Graphene plasmonics: a platform for strong light–matter interactions. Nano Lett. 11, 3370–3377 (2011).
Chen, H.-T. et al. Tuning the resonance in high-temperature superconducting terahertz metamaterials. Phys. Rev. Lett. 105, 247402 (2010).
Pendry, J. B., Holden, A. J., Robbins, D. J. & Stewart, W. J. Magnetism from conductors and enhanced nonlinear phenomena. IEEE Trans. Microwave Theory Tech. 47, 2075–2084 (1999).
Gorkunov, M., Lapine, M., Shamonina, E. & Ringhofer, K. H. Effective magnetic properties of a composite material with circular conductive elements. Eur. Phys. J. B 28, 263–269 (2002).
Engheta, N. Circuits with light at nanoscales: optical nanocircuits inspired by metamaterials. Science 317, 1698–1702 (2007).
Koschny, T., Kafeski, M., Economou, E. N. & Soukoulis, C. M. Effective medium theory of left-handed materials. Phys. Rev. Lett. 93, 107402 (2004).
Zhang, S., Genov, D. A., Wang, Y., Liu, M. & Zhang, X. Plasmon-induced transparency in metamaterials. Phys. Rev. Lett. 101, 047401 (2008).
Papasimakis, N., Fedotov, V. A., Zheludev, N. I. & Prosvirnin, S. L. Metamaterial analog of electromagnetically induced transparency. Phys. Rev. Lett. 101, 253903 (2008).
Tassin, P., Zhang, L., Koschny, Th., Economou, E. N. & Soukoulis, C. M. Low-loss metamaterials based on classical electromagnetically induced transparency. Phys. Rev. Lett. 102, 053901 (2009).
Liu, N. et al. Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit. Nature Mater. 8, 758–762 (2009).
Penciu, R. S., Kafesaki, M., Koschny, Th., Economou, E. N. & Soukoulis, C. M. Magnetic response of nanoscale left-handed metamaterials. Phys. Rev. B 81, 235111 (2010).
Luan, P. G. Power loss and electromagnetic energy density in a dispersive metamaterial medium. Phys. Rev. E 80, 046601 (2009).
Zhou, J. et al. Saturation of the magnetic response of split-ring resonators at optical frequencies. Phys. Rev. Lett. 95, 223902 (2005).
Castro Neto, A. H., Guinea, F., Peres, N. M. R., Novoselov, K. S. & Geim, A. K., The electronic properties of graphene. Rev. Mod. Phys. 81, 109–162 (2009).
Bonaccorso, F., Sun, Z., Hasan, T. & Ferrari, A. C. Graphene photonics and optoelectronics. Nature Photon. 4, 611–622 (2010).
Li, Z. Q. et al. Dirac charge dynamics in graphene by infrared spectroscopy. Nature Phys. 4, 532–535 (2008).
Horng, J. et al., Drude conductivity of Dirac fermions in graphene. Phys. Rev. B 83, 165113 (2011).
Nair, R. R. et al. Fine structure constant defines visual transparency of graphene. Science 320, 1308–1308 (2008).
Papasimakis, N. et al. Graphene in a photonic metamaterial. Opt. Express 18, 8353–8358 (2010).
Hanson, G. W. Dyadic Green's functions and guided surface waves for a surface conductivity model of graphene. J. Appl. Phys. 103, 064302 (2008).
Jablan, M., Buljan, H. & Soljacic, M. Plasmonics in graphene at infrared frequencies. Phys. Rev. B 80, 245435 (2009).
Peres, N. M. R., Ribeiro, R. M. & Castro Neto, A. H. Excitonic effects in the optical conductivity of gated graphene. Phys. Rev. Lett. 105, 055501 (2010).
Grushin, A. G., Valenzuela, B. & Vozmediano, M. A. H. Effect of Coulomb interactions on the optical properties of doped graphene. Phys. Rev. B 80, 155417 (2009).
Anlage, S. M. The physics and applications of superconducting metamaterials. J. Opt. 13, 024001 (2011).
Ordal, M. A., Bell, R. J., Alexander, R. W., Long, L. L. & Querry, M. R. Optical properties of fourteen metals in the infrared and far infrared: Al, Co, Cu, Au, Fe, Pb, Mo, Ni, Pd, Pt, Ag, Ti, V, and W. Appl. Opt. 24, 4493–4499 (1985).
Kumar, A. R. et al. Far-infrared transmittance and reflectance of YBa2Cu3O7–δ films on Si substrates. J. Heat Transfer 121, 844–851 (1999).
Khurgin, J. B. & Sun, G., Scaling of losses with size and wavelength in nanoplasmonics and metamaterials. Appl. Phys. Lett. 99, 211106 (2011).
Blaber, M. G., Arnold, M. D. & Ford, M. J. Designing materials for plasmonic systems: the alkali-noble intermetallics. J. Phys. Condens. Matter 22, 095501 (2010).
Bobb, D. A. et al. Engineering of low-loss metal for nanoplasmonic and metamaterials applications. Appl. Phys. Lett. 95, 151102 (2009).
Work at Ames Laboratory was partially supported by the US Department of Energy, Office of Basic Energy Science, Division of Materials Sciences and Engineering (Ames Laboratory is operated for the US Department of Energy by Iowa State University under contract no. DE-AC02-07CH11358) (theoretical studies) and by the US Office of Naval Research (award no. N00014-10-1-0925, study of graphene). Work at FORTH was supported by the European Community's FP7 projects NIMNIL (grant agreement no. 228637, graphene) and ENSEMBLE (grant agreement no. 213669, study of oxides). P.T. acknowledges a fellowship from the Belgian American Educational Foundation.
The authors declare no competing financial interests.
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Tassin, P., Koschny, T., Kafesaki, M. et al. A comparison of graphene, superconductors and metals as conductors for metamaterials and plasmonics. Nature Photon 6, 259–264 (2012). https://doi.org/10.1038/nphoton.2012.27
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