Graphene-plasmon polaritons: From fundamental properties to potential applications

Abstract

With unique possibilities for controlling light in nanoscale devices, graphene plasmonics has opened new perspectives to the nanophotonics community with potential applications in metamaterials, modulators, photodetectors, and sensors. In this paper, we briefly review the recent exciting progress in graphene plasmonics. We begin with a general description of the optical properties of graphene, particularly focusing on the dispersion of graphene-plasmon polaritons. The dispersion relation of graphene-plasmon polaritons of spatially extended graphene is expressed in terms of the local response limit with an intraband contribution. With this theoretical foundation of graphene-plasmon polaritons, we then discuss recent exciting progress, paying specific attention to the following topics: excitation of graphene plasmon polaritons, electron-phonon interactions in graphene on polar substrates, and tunable graphene plasmonics with applications in modulators and sensors. Finally, we address some of the apparent challenges and promising perspectives of graphene plasmonics.

Keywords

graphene / plasmonics / graphene-plasmon polariton / plasmon-phonon interaction / tunability

References

[1] S. A. Maier, Plasmonics: Fundamentals and Applications, New York: Springer, 2007

[2] M. L. Brongersma, Introductory lecture: Nanoplasmonics, Faraday Discuss. 178, 9 (2015)

[3] J. A. Schuller, E. S. Barnard, W. Cai, Y. C. Jun, J. S. White, and M. L. Brongersma, Plasmonics for extreme light concentration and manipulation, Nat. Mater. 9(3), 193 (2010)

[4] Editorial, Focusing in on applications, Nature Nanotechnol. 10, 1 (2015)

[5] A. Baev, P. N. Prasad, H. Ågren, M. Samoć, and M. Wegener, Metaphotonics: An emerging field with opportunities and challenges, Phys. Rep. 594, 1 (2015)

[6] D. K. Gramotnev and S. I. Bozhevolnyi, Plasmonics beyond the diffraction limit, Nat. Photonics 4(2), 83 (2010)

[7] D. K. Gramotnev and S. I. Bozhevolnyi, Nanofocusing of electromagnetic radiation, Nat. Photonics 8, 13 (2014)

[8] S. Xiao and N. A. Mortensen, Surface-plasmon-polariton-induced suppressed transmission through ultrathin metal disk arrays, Opt. Lett. 36(1), 37 (2011)

[9] S. Xiao, J. Zhang, L. Peng, C. Jeppesen, R. Malureanu, A. Kristensen, and N. A. Mortensen, Nearly zero transmission through periodically modulated ultrathin metal films, Appl. Phys. Lett. 97(7), 071116 (2010)

[10] C. L. C. Smith, N. Stenger, A. Kristensen, N. A. Mortensen, and S. I. Bozhevolnyi, Gap and channeled plasmons in tapered grooves: A review, Nanoscale 7(21), 9355 (2015)

[11] S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J. Y. Laluet, and T. W. Ebbesen, Channel plasmon subwavelength waveguide components including interferometers and ring resonators, Nature 440(7083), 508 (2006)

[12] D. Ansell, I. P. Radko, Z. Han, F. J. Rodriguez, S. I. Bozhevolnyi, and A. N. Grigorenko, Hybrid graphene plasmonic waveguide modulators, Nat. Commun. 6, 8846 (2015)

[13] S. Xiao, L. Liu, and M. Qiu, Resonator channel drop filters in a plasmon-polaritons metal, Opt. Express 14(7), 2932 (2006)

[14] H. Xu, E. J. Bjerneld, M. Käll, and L. Börjesson, Spectroscopy of single hemoglobin molecules by surface enhanced Raman scattering, Phys. Rev. Lett. 83(21), 4357 (1999)

[15] D. Punj, M. Mivelle, S. B. Moparthi, T. S. van Zanten, H. Rigneault, N. F. van Hulst, M. F. García-Parajó, and J. Wenger, A plasmonic “antenna-in-box” platform for enhanced single-molecule analysis at micromolar concentrations, Nat. Nanotechnol. 8(7), 512 (2013)

[16] S. Kawata, Y. Inouye, and P. Verma, Plasmonics for near-field nano-imaging and superlensing, Nat. Photonics 3(7), 388 (2009)

[17] F. Wei, D. Lu, H. Shen, W. Wan, J. L. Ponsetto, E. Huang, and Z. Liu, Wide field super-resolution surface imaging through plasmonic structured illumination microscopy, Nano Lett. 14(8), 4634 (2014)

[18] H. A. Atwater and A. Polman, Plasmonics for improved photovoltaic devices, Nat. Mater. 9(3), 205 (2010)

[19] S. Xiao, E. Stassen, and N. A. Mortensen, Ultrathinsilicon solar cells with enhanced photocurrentsassisted by plasmonic nanostructures, J. Nanophot. 6, 061503 (2012)

[20] K. Kumar, H. Duan, R. S. Hegde, S. C. W. Koh, J. N. Wei, and J. K. W. Yang, Printing colour at the optical diffraction limit, Nat. Nanotechnol. 7(9), 557 (2012)

[21] J. S. Clausen, E. Højlund-Nielsen, A. B. Christiansen, S. Yazdi, M. Grajower, H. Taha, U. Levy, A. Kristensen, and N. A. Mortensen, Plasmonic metasurfaces for coloration of plastic consumer products, Nano Lett. 14(8), 4499 (2014)

[22] X. Zhu, C. Vannahme, E. Højlund-Nielsen, N. A. Mortensen, and A. Kristensen, Plasmonic colour laser printing, Nat. Nanotechnol.2016)

[23] J. N. Anker, W. P. Hall, O. Lyandres, N. C. Shah, J. Zhao, and R. P. Van Duyne, Biosensing with plasmonic nanosensors, Nat. Mater. 7(6), 442 (2008)

[24] M. Liu, X. Yin, E. Ulin-Avila, B. Geng, T. Zentgraf, L. Ju, F. Wang, and X. Zhang, A graphene-based broadband optical modulator,Nature 474(7349), 64 (2011)

[25] A. C. Ferrari, F. Bonaccorso, V. Fal’ko, K. S. Novoselov, S. Roche, , Science and technology roadmap for graphene, related two-dimensional crystals, and hybrid systems, Nanoscale 7(11), 4598 (2015)

[26] A. N. Grigorenko, M. Polini, and K. S. Novoselov, Graphene plasmonics, Nat. Photonics 6, 749 (2012)

[27] Y. V. Bludov, A. Ferreira, N. M. R. Peres, and M. I. Vasilevskiy, A primer on surface plasmon-polaritons in graphene, Int. J. Mod. Phys. B 27(10), 1341001 (2013)

[28] F. J. García de Abajo, Graphene plasmonics: Challenges and opportunities, ACS Photonics 1(3), 135 (2014)

[29] T. Low and P. Avouris, Graphene plasmonics for terahertz to mid-infrared applications, ACS Nano 8(2), 1086 (2014)

[30] A. Vakil and N. Engheta, Transformation optics using graphene, Science 332(6035), 1291 (2011)

[31] H. Raether, Surface Plasmons on Smooth and Rough Surfaces on Gratings, Berlin:Springer, 1988

[32] Y. Ding, X. Zhu, S. Xiao, H. Hu, L. H. Frandsen, N. A. Mortensen, and K. Yvind, Effective electro-optical modulation with high extinction ratio by a graphene-silicon microring resonator, Nano Lett. 15(7), 4393 (2015)

[33] C. T. Phare, Y.-H. D. Lee, J. Cardenas, and M. Lipson, Graphene electro-optic modulator with 30 GHz bandwidth, Nat. Photonics 9, 511 (2015)

[34] I. Goykhman, U. Sassi, B. Desiatov, N. Mazurski, S. Milana, D. de Fazio,A. Eiden, J. Khurgin, J. Shappir, U. Levy, and A. C. Ferrari,On-chip integrated, silicon-graphene plasmonic Schottky photodetector, with high responsivity and avalanche photogain, arXiv: 1512.08153

[35] F. H. Koppens, D. E. Chang, and F. J. García de Abajo, Graphene plasmonics: A platform for strong light-matter interactions, Nano Lett. 11(8), 3370 (2011)

[36] S. Thongrattanasiri, A. Manjavacas, and F. J. García de Abajo, Quantum finite-size effects in graphene plasmons, ACS Nano 6(2), 1766 (2012)

[37] T. Christensen, W. Wang, A.-P. Jauho, M. Wubs, and N. A.Mortensen, Classical and quantum plasmonics in graphene nanodisks: The role of edge states, Phys. Rev. B 90, 241414(R) (2014)

[38] S. H. Lee, M. Choi, T. T. Kim, S. Lee, M. Liu, X. Yin, H. K. Choi, S. S. Lee, C. G. Choi, S. Y. Choi, X. Zhang, and B. Min, Switching terahertz waves with gate-controlled active graphene metamaterials, Nat. Mater. 11(11), 936 (2012)

[39] B. Sensale-Rodriguez, R. Yan, M. M. Kelly, T. Fang, K. Tahy, W. S. Hwang, D. Jena, L. Liu, and H. G. Xing, Broadband graphene terahertz modulators enabled by intraband transitions, Nat. Commun. 3, 780 (2012)

[40] G. Liang, X. Hu, X. Yu, Y. Shen, L. H. Li, A. G. Davies, E. H. Linfield, H. K. Liang, Y. Zhang, S. F. Yu, and Q. J. Wang, Integrated terahertz graphene modulator with 100% modulation depth, ACS Photonics 2(11), 1559 (2015)

[41] L. Ju, B. Geng, J. Horng, C. Girit, M. Martin, Z. Hao, H. A. Bechtel, X. Liang, A. Zettl, Y. R. Shen, and F. Wang, Graphene plasmonics for tunable terahertz metamaterials, Nat. Nanotechnol. 6(10), 630 (2011)

[42] A. Marini, I. Silveiro, and F. J. García de Abajo,Molecular sensing with tunable graphene plasmons, ACS Photonics 2(7), 876 (2015)

[43] D. Rodrigo, O. Limaj, D. Janner, D. Etezadi, F. J. García de Abajo, V. Pruneri, and H. Altug, Mid-infrared plasmonic biosensing with graphene, Science 349(6244), 165 (2015)

[44] C. F. Chen, C. H. Park, B. W. Boudouris, J. Horng, B. Geng, C. Girit, A. Zettl, M. F. Crommie, R. A. Segalman, S. G. Louie, and F. Wang, Controlling inelastic light scattering quantum pathways in graphene, Nature 471(7340), 617 (2011)

[45] I. Khrapach, F. Withers, T. H. Bointon, D. K. Polyushkin, W. L. Barnes, S. Russo, and M. F. Craciun, Novel highly conductive and transparent graphene-based conductors, Adv. Mater. 24(21), 2844 (2012)

[46] T. Christensen, From classical to quantum plasmonics in three and two dimensions, PhD Thesis, Technical University of Denmark, 2015

[47] A. Bostwick, T. Ohta, T. Seyller, K. Horn, and E. Rotenberg, Quasiparticle dynamics in graphene, Nat. Phys. 3(1), 36 (2007)

[48] A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, The electronic properties of graphene, Rev. Mod. Phys. 81(1), 109 (2009)

[49] R. R. Nair, P. Blake, A. N. Grigorenko, K. S. Novoselov, T. J. Booth, T. Stauber, N. M. R. Peres, and A. K. Geim, Fine structure constant defines visual transparency of graphene, Science 320(5881), 1308 (2008)

[50] S. A. Mikhailov and K. Ziegler, New electromagnetic mode in graphene, Phys. Rev. Lett. 99(1), 016803 (2007)

[51] M. Jablan, H. Buljan, and M. Soljačić, Plasmonics in graphene at infrared frequencies, Phys. Rev. B 80(24), 245435 (2009)

[52] B. Wunsch, T. Stauber, F. Sols, and F. Guinea, Dynamical polarization of graphene at finite doping, New J. Phys. 8(12), 318 (2006)

[53] E. H. Hwang and S. Das Sarma, Dielectric function, screening, and plasmons in two-dimensional graphene, Phys. Rev. B 75(20), 205418 (2007)

[54] L. A. Falkovsky and A. A. Varlamov, Space-time dispersion of graphene conductivity, Eur. Phys. J. B 56(4), 281 (2007)

[55] S. Raza, S. I. Bozhevolnyi, M. Wubs, and N. A. Mortensen, Nonlocal optical response in metallic nanostructures, J. Phys.: Condens. Matter 27(18), 183204 (2015)

[56] J. Chen, M. Badioli, P. Alonso-González, S. Thongrattanasiri, F. Huth, J. Osmond, M. Spasenović, A. Centeno, A. Pesquera, P. Godignon, A. Z. Elorza, N. Camara, F. J. García de Abajo, R. Hillenbrand, and F. H. L. Koppens, Optical nano-imaging of gate-tunable graphene plasmons, Nature 487(7405), 77 (2012)

[57] Q. Zhang, X. Li, M. M. Hossain, Y. Xue, J. Zhang, J. Song, J. Liu, M. D. Turner, S. Fan, Q. Bao, and M. Gu, Graphene surface plasmons at the near-infrared optical regime, Sci. Rep. 4, 6559 (2014)

[58] X. Zhu, W. Yan, P. U. Jepsen, O. Hansen, N. A. Mortensen, and S. Xiao, Experimental observation of plasmons in a graphene monolayer resting on a two-dimensional subwavelength silicon grating, Appl. Phys. Lett. 102(13), 131101 (2013)

[59] M. Farhat, S. Guenneau, and H. Bağcı, Exciting graphene surface plasmon polaritons through light and sound interplay, Phys. Rev. Lett. 111(23), 237404 (2013)

[60] H. Yan, X. Li, B. Chandra, G. Tulevski, Y. Wu, M. Freitag, W. Zhu, P. Avouris, and F. Xia, Tunable infrared plasmonic devices using graphene/insulator stacks, Nat. Nanotechnol. 7(5), 330 (2012)

[61] Z. Fei, A. S. Rodin, G. O. Andreev, W. Bao, A. S. McLeod, M. Wagner, L. M. Zhang, Z. Zhao, M. Thiemens, G. Dominguez, M. M. Fogler, A. H. Castro Neto, C. N. Lau, F. Keilmann, and D. N. Basov, Gate-tuning of graphene plasmons revealed by infrared nano-imaging, Nature 487(7405), 82 (2012)

[62] Z. Fei, G. O. Andreev, W. Bao, L. M. Zhang, A. S. McLeod, C. Wang, M. K. Stewart, Z.Zhao, G. Dominguez, M. Thiemens, M. M. Fogler, M. J. Tauber, A. H. Castro-Neto, C. N. Lau, F. Keilmann, and D. N. Basov, Infrared nanoscopy of Dirac plasmons at the graphene-SiO₂ interface, Nano Lett. 11(11), 4701 (2011)

[63] G. X. Ni, H. Wang, J. S. Wu, Z. Fei, M. D. Goldflam, F. Keilmann, B. Özyilmaz, A. H. Castro Neto, X. M. Xie, M. M. Fogler, and D. N. Basov, Plasmons in graphene Moiré superlattices, Nat. Mater. 14(12), 1217 (2015)

[64] E. Yoxall, M. Schnell, A. Y. Nikitin, O. Txoperena, A. Woessner, M. B. Lundeberg, F. Casanova, L. E. Hueso, F. H. L. Koppens, and R. Hillenbrand, Direct observation of ultraslow hyperbolic polariton propagation with negative phase velocity, Nat. Photonics 9(10), 674 (2015)

[65] P. Li, M. Lewin, A. V. Kretinin, J. D. Caldwell, K. S. Novoselov, T. Taniguchi, K. Watanabe, F. Gaussmann, and T. Taubner, Hyperbolic phonon-polaritons in boron nitride for near-field optical imaging and focusing, Nat. Commun. 6, 7507 (2015)

[66] P. Alonso-González, A. Y. Nikitin, F. Golmar, A. Centeno, A. Pesquera, S. Vélez, J. Chen, G. Navickaite, F. Koppens, A. Zurutuza, F. Casanova, L. E. Hueso, and R. Hillenbrand, Controlling graphene plasmons with resonant metal antennas and spatial conductivity patterns, Science 344(6190), 1369 (2014)

[67] A. Y. Nikitin, P. Alonso-González, and R. Hillenbrand, Efficient coupling of light to graphene plasmons by compressing surface polaritons with tapered bulk materials, Nano Lett. 14(5), 2896 (2014)

[68] K. Y. M. Yeung, J. Chee, H. Yoon, Y. Song, J. Kong, and D. Ham, Far-infrared graphene plasmonic crystals for plasmonic band engineering, Nano Lett. 14(5), 2479 (2014)

[69] W. Gao, J. Shu, C. Qiu, and Q. Xu, Excitation of plasmonic waves in graphene by guided-mode resonances, ACS Nano 6(9), 7806 (2012)

[70] W. Gao, G. Shi, Z. Jin, J. Shu, Q. Zhang, R. Vajtai, P. M. Ajayan, J. Kono, and Q. Xu, Excitation and active control of propagating surface plasmon polaritons in graphene, Nano Lett. 13(8), 3698 (2013)

[71] J. Schiefele, J. Pedrós, F. Sols, F. Calle, and F. Guinea, Coupling light into graphene plasmons through surface acoustic waves, Phys. Rev. Lett. 111(23), 237405 (2013)

[72] T. Christensen, A. P. Jauho, M. Wubs, and N. A. Mortensen, Localized plasmons in graphene-coated nanospheres, Phys. Rev. B 91(12), 125414 (2015)

[73] W. Wang, B. Li, E. Stassen, N. A. Mortensen, and J. Christensen, Localized surface plasmons in vibrating grapheme nanodisks, Nanoscale, 2016, arXiv: 1502.00535

[74] A. Reserbat-Plantey, K. G. Schädler, L. Gaudreau, G. Navickaite, J. Güttinger, D. Chang, C. Toninelli, A. Bachtold, and F. H. L. Koppens, Electromechanical control of nitrogen-vacancy defect emission using graphene NEMS, Nat. Commun. 7, 10218 (2016)

[75] D. Smirnova, S. H. Mousavi, Z. Wang, Y. S. Kivshar, and A. B. Khanikaev, Trapping and guiding surface plasmons in curved graphene landscapes, arXiv: 1508.02729

[76] M. Jablan, M. Soljačić, and H. Buljan, Unconventional plasmon-phonon coupling in graphene, Phys. Rev. B 83(16), 161409 (2011)

[77] Y. Liu and R. F. Willis, Plasmon-phonon strongly coupled mode in epitaxial graphene,Phys. Rev. B 81(8), 081406 (2010)

[78] H. Yan, T. Low, W. Zhu, Y. Wu, M. Freitag, X. Li, F. Guinea, P. Avouris, and F. Xia, Damping pathways of mid-infrared plasmons in graphene nanostructures, Nat. Photonics 7(5), 394 (2013)

[79] X. Zhu, W. Wang, W. Yan, M. B. Larsen, P. Bøggild, T. G. Pedersen, S. Xiao, J. Zi, and N. A. Mortensen, Plasmon-phonon coupling in large-area graphene dot and antidot arrays fabricated by nanosphere lithography, Nano Lett. 14(5), 2907 (2014)

[80] V. W. Brar, M. S. Jang, M. Sherrott, S. Kim, J. J. Lopez, L. B. Kim, M. Choi, and H. Atwater, Hybrid surface-phonon-plasmon polariton modes in graphene/monolayer h-BN heterostructures, Nano Lett. 14(7), 3876 (2014)

[81] K. Bolotin, K .Sikes, Z. Jiang, M. Klima, G. Fudenberg, J. Hone, P. Kim, and H. Stormer, Ultrahigh electron mobility in suspended graphene, Solid State Commun. 146(9-10), 351 (2008)

[82] S. Fratini and F. Guinea, Substrate-limited electron dynamics in graphene, Phys. Rev. B 77(19), 195415 (2008)

[83] K. Hess and P. Vogl, Remote polar phonon scattering in silicon inversion layers, Solid State Commun. 30(12), 807 (1979)

[84] C. R. Dean, A. F. Young, I. Meric, C. Lee, L. Wang, S. Sorgenfrei, K. Watanabe, T. Taniguchi, P.Kim, K. L. Shepard, and J. Hone, Boron nitride substrates for high-quality graphene electronics, Nat. Nanotechnol. 5(10), 722 (2010)

[85] S. Pisana, M. Lazzeri, C. Casiraghi, K. S. Novoselov, A. K. Geim, A. C. Ferrari, and F. Mauri, Breakdown of the adiabatic Born-Oppenheimer approximation in graphene, Nat. Mater. 6(3), 198 (2007)

[86] A. Mooradian and G. B. Wright, Observation of the interaction of plasmons with longitudinal optical phonons in GaAs, Phys. Rev. Lett. 16(22), 999 (1966)

[87] E. H. Hwang, R. Sensarma, and S. Das Sarma, Plasmon-phonon coupling in graphene, Phys. Rev. B 82(19), 195406 (2010)

[88] R. J. Koch, T. Seyller, and J. A. Schaefer, Strong phonon-plasmon coupled modes in the graphene/silicon carbide heterosystem, Phys. Rev. B 82(20), 201413 (2010)

[89] I. Forbeaux, J. M. Themlin, and J. M. Debever, Heteroepitaxial graphite on 6H-SiC(0001): Interface formation through conduction-band electronic structure, Phys. Rev. B 58(24), 16396 (1998)

[90] Y. Ou, X. Zhu, V. Jokubavicius, R.Yakimova, N. A. Mortensen, M. Syväjärvi, S. Xiao, and H. Ou, Broadband antireflection and light extraction enhancement in fluorescent SiC with nanodome structures, Sci. Rep. 4, 4662 (2014)

[91] X. Zhu, Y. Ou, V. Jokubavicius, M. Syvajarvi, O. Hansen, H. Ou, N. A. Mortensen, and S. Xiao, Broadband light-extraction enhanced by arrays of whispering gallery resonators, Appl. Phys. Lett. 101(24), 241108 (2012)

[92] X. Zhu, C. Zhang, X. Liu, O. Hansen, S. Xiao, N. A. Mortensen, and J. Zi, Evaporation of water droplets on “lock-and-key” structures with nanoscale features, Langmuir 28(25), 9201 (2012)

[93] X. Zhu, F. Xie, L. Shi, X. Liu, N. A. Mortensen, S. Xiao, J. Zi, and W. Choy, Broadband enhancement of spontaneous emission in a photonic-plasmonic structure , Opt. Lett. 37(11), 2037 (2012)

[94] X. Zhu, S. Xiao, L. Shi, X. Liu, J. Zi, O. Hansen, and N. A. Mortensen, A stretch-tunable plasmonic structure with a polarization-dependent response, Opt. Express 20(5), 5237 (2012)

[95] Y. Li, H. Yan, D. B. Farmer, X. Meng, W. Zhu, R. M. Osgood, T. F. Heinz, and P. Avouris, Graphene plasmon enhanced vibrational sensing of surface-adsorbed layers, Nano Lett. 14(3), 1573 (2014)

[96] I. D. Barcelos, A. R. Cadore, L. C. Campos, A. Malachias, K. Watanabe, T. Taniguchi, F. C. Maia, R. Freitas, and C. Deneke, Graphene/h-BN plasmon-phonon coupling and plasmon delocalization observed by infrared nano-spectroscopy, Nanoscale 7(27), 11620 (2015)

[97] V. W. Brar, M. S. Jang, M. Sherrott, J. J. Lopez, and H. A. Atwater, Highly confined tunable mid-infrared plasmonics in graphene nanoresonators, Nano Lett. 13(6), 2541 (2013)

[98] M. M. Jadidi, A. B. Sushkov, R. L. Myers-Ward, A. K. Boyd, K. M. Daniels, D. K. Gaskill, M. S. Fuhrer, H. D. Drew, and T. E. Murphy, Tunable terahertz hybrid metal-graphene plasmons, Nano Lett . 15(10), 7099 (2015)

[99] M. K. Hedayati, A. U. Zillohu, T. Strunskus, F. Faupel, and M. Elbahri, Plasmonic tunable metamaterial absorber as ultraviolet protection film, Appl. Phys. Lett. 104(4), 041103 (2014)

[100] D. Franklin, Y. Chen, A.Vazquez-Guardado, S. Modak, J. Boroumand, D. Xu, S. T. Wu, and D. Chanda, Polarization-independent actively tunable colour generation on imprinted plasmonic surfaces, Nat. Commun. 6, 7337 (2015

[101] A. Yang, T. B. Hoang, M. Dridi, C. Deeb, M. H. Mikkelsen, G. C. Schatz, and T. W. Odom, Real-time tunable lasing from plasmonic nanocavity arrays, Nat. Commun. 6, 6939 (2015)

[102] G. C.Dyer, G. R.Aizin, S. J.Allen, A. D.Grine, D.Bethke, J. L.Reno, and E. A. Shaner, Induced transparency by coupling of Tamm and defect states in tunable terahertz plasmonic crystals, Nat. Photonics 7(11), 925 (2013)

[103] B. Fluegel, A. Mascarenhas, D. W. Snoke, L. N. Pfeiffer, and K. West, Plasmonic all-optical tunable wavelength shifter, Nat. Photonics 1(12), 701 (2007)

[104] Z. Fang, S. Thongrattanasiri, A. Schlather, Z. Liu, L. Ma, Y. Wang, P. M. Ajayan, P. Nordlander, N. J. Halas, and F. J.García de Abajo, Gated tunability and hybridization of localized plasmons in nanostructured graphene, ACS Nano 7(3), 2388 (2013)

[105] V. W. Brar, M. C. Sherrott, M. S. Jang, S. Kim, L. Kim, M. Choi, L. A. Sweatlock, and H. A. Atwater, Electronic modulation of infrared radiation in graphene plasmonic resonators, Nat. Commun. 6, 7032 (2015)

[106] N. A. Mortensen, S. Xiao, and J. Pedersen, Liquid-infiltrated photonic crystals: Enhanced light-matter interactions for lab-on-a-chip applications, Microfluid. Nanofluidics 4(1), 117 (2008)

[107] L. J. Sherry, R. Jin, C. A. Mirkin, G. C. Schatz, and R. P. Van Duyne, Localized surface plasmon resonance spectroscopy of single silver triangular nanoprisms, Nano Lett. 6(9), 2060 (2006)

[108] C. Jeppesen, S. Xiao, N. A. Mortensen, and A. Kristensen, Metamaterial localized resonance sensors: Prospects and limitations, Opt. Express 18(24), 25075 (2010)

[109] M. Freitag, T. Low, W. Zhu, H. Yan, F. Xia, and P. Avouris, Photocurrent in graphene harnessed by tunable intrinsic plasmons, Nat. Commun. 4, 1951 (2013)

[110] X. Zhu, L. Shi, M. S. Schmidt, A. Boisen, O. Hansen, J. Zi, S. Xiao, and N. A. Mortensen, Enhanced light-matter interactions in graphene-covered gold nanovoid arrays, Nano Lett. 13(10), 4690 (2013)

[111] J. Kim, H. Son, D. J. Cho, B. Geng, W. Regan, S. Shi, K. Kim, A. Zettl, Y. R. Shen, and F. Wang, Electrical control of optical plasmon resonance with graphene, Nano Lett. 12(11), 5598 (2012)

[112] S. H. Mousavi, I. Kholmanov, K. B. Alici, D. Purtseladze, N. Arju, K. Tatar, D. Y. Fozdar, J. W. Suk, Y. Hao, A. B. Khanikaev, R. S. Ruoff, and G. Shvets, Inductive tuning of Fano-resonant metasurfaces using plasmonic response of graphene in the mid-infrared, Nano Lett. 13(3), 1111 (2013)

[113] J. Cai, P. Ruffieux, R. Jaafar, M. Bieri, T. Braun, S. Blankenburg, M. Muoth, A. P. Seitsonen, M. Saleh, X. Feng, K. Müllen, and R. Fasel, Atomically precise bottom-up fabrication of graphene nanoribbons, Nature 466(7305), 470 (2010)

[114] X. Li, X. Wang, L. Zhang, S. Lee, and H. Dai, Chemically derived, ultrasmooth graphene nanoribbon semiconductors, Science 319(5867), 1229 (2008)

[115] S. Rasappa, J. M. Caridad, L. Schulte, A. Cagliani, D. Borah, M. A. Morris, P. Bøggild, and S.Ndoni, High quality sub-10 nm graphene nanoribbons by on-chip PS-b-PDMS block copolymer lithography, RSC Adv. 5, 66711 (2015)  

[116] W. Wang, T.Christensen, A. P.Jauho, K. S. Thygesen, M. Wubs, and N. A. Mortensen, Plasmonic eigenmodes in individual and bow-tie graphene nanotriangles, Sci. Rep. 5, 9535 (2015)

[117] A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K.Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. L. Koppens, Highly confined low-loss plasmons in graphene-boron nitride heterostructures, Nat. Mater. 14(4), 421 (2015)

[118] K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, Y. Zhang, S. V. Dubonos, I. V. Grigorieva, and A. A. Firsov, Electric field effect in atomically thin carbon films, Science 306, 666 (2004)

[119] Y. Zhang, Y. W. Tan, H. L. Stormer, and P. Kim, Experimental observation of the quantum Hall effect and Berry’s phase in graphene, Nature 438(7065), 201 (2005)

[120] Y. Hao, M. S.Bharathi, L. Wang, Y. Liu, H. Chen, S. Nie, X. Wang, H. Chou, C. Tan, B. Fallahazad, H. Ramanarayan, C. W. Magnuson, E. Tutuc, B. I. Yakobson, K. F. McCarty, Y. W. Zhang, P. Kim, J. Hone, L. Colombo, and R. S. Ruoff, The role of surface oxygen in the growth of large single-crystal graphene on copper, Science 342(6159), 720 (2013)

[121] T. Wu, X. Zhang, Q. Yuan, J. Xue, G. Lu, Z. Liu, H. Wang, H. Wang, F. Ding, Q. Yu, X. Xie, and M. Jiang, Fast growth of inch-sized single-crystalline graphene from a controlled single nucleus on Cu-Ni alloys, Nat. Mater. 15(1), 43 (2016) PMID:26595118

[122] J. L.Cheng, N. Vermeulen, and J. E. Sipe, Third order optical nonlinearity of graphene, New J. Phys. 16(5), 053014 (2014)

[123] N. M. R. Peres, Y. V. Bludov, J. E. Santos, A. P. Jauho, and M. I. Vasilevskiy, Optical bistability of graphene in the terahertz range, Phys. Rev. B 90(12), 125425 (2014)

[124] D. A. Smirnova, I. V. Shadrivov, A. E. Miroshnichenko, A. I. Smirnov, and Y. S. Kivshar, Second-harmonic generation by a graphene nanoparticle, Phys. Rev. B 90(3), 035412 (2014)

[125] T. Christensen, W. Yan, A.-P.Jauho, M. Wubs, and N. A. Mortensen, Kerr nonlinearity and plasmonic bistability in graphene nanoribbons, Phys. Rev. B 92, 121407(R) (2015) http://dx.doi.org/10.1103/PhysRevB.92.121407

[126] J. D. Cox and F. Javier García de Abajo, Electrically tunable nonlinear plasmonics in graphene nanoislands, Nat. Commun. 5, 5725 (2014)

[127] J. D. Cox and F. J. García de Abajo, Plasmon-enhanced nonlinear wave mixing in nanostructured graphene, ACS Photonics 2(2), 306 (2015)

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2014 Higher Education Press and Springer-Verlag Berlin Heidelberg