Abstract

Plasmon induced transparency (PIT) has been numerically investigated and experimentally realized by two parallel gold strips on graphene for the mid-infrared (MIR) range. The PIT response is realized by the weak hybridization of two bright modes of the gold strips. The response of the device is adjusted with the lengths of two strips and tuned electrically in real time by changing the Fermi level (Ef) of the graphene. Ef is changed to tune the resonance frequency of the transparency window. A top gating is used to achieve high tunability and a 263 nm shift is obtained by changing the gate voltage from −0.6 V to 2.4 V. The spectral contrast ratio of our devices is up to 82%.

© 2018 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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    [Crossref]
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    [Crossref]
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    [Crossref]

2017 (5)

J. Xie, X. Zhu, X. Zang, Q. Cheng, Y. Ye, and Y. Zhu, “High extinction ratio electromagnetically induced transparency analogue based on the radiation suppression of dark modes,” Sci. Rep. 7(1), 11291 (2017).
[Crossref] [PubMed]

X. Yan, T. Wang, S. Xiao, T. Liu, H. Hou, L. Cheng, and X. Jiang, “Dynamically controllable plasmon induced transparency based on hybrid metal-graphene metamaterials,” Sci. Rep. 7(1), 13917 (2017).
[Crossref] [PubMed]

H. Zhang, Y. Cao, Y. Liu, Y. Li, and Y. Zhang, “A novel graphene metamaterial design for tunable terahertz plasmon induced transparency by two bright mode coupling,” Opt. Commun. 391, 9–15 (2017).
[Crossref]

X. Zhou, T. Zhang, X. Yin, L. Chen, and X. Li, “Dynamically tunable electromagnetically induced transparency in graphene-based coupled micro-ring resonators,” IEEE Photonics J. 9(2), 1–9 (2017).
[Crossref]

S. Xiao, T. Wang, X. Jiang, X. Yan, L. Cheng, B. Wang, and C. Xu, “Strong interaction between graphene layer and Fano resonance in terahertz metamaterials,” J. Phys. D: Appl. Phys. 50(19), 195101 (2017).
[Crossref]

2016 (6)

S. Xiao, T. Wang, Y. Liu, C. Xu, X. Han, and X. Yan, “Tunable light trapping and absorption enhancement with graphene ring arrays,” Phys. Chem. Chem. Phys. 18(38), 26661–26669 (2016).
[Crossref] [PubMed]

H. Li, L. Wang, and X. Zhai, “Tunable graphene-based mid-infrared plasmonic wide-angle narrowband perfect absorber,” Sci. Rep. 6(1), 36651 (2016).
[Crossref] [PubMed]

H. Zhang, Y. Cao, Y. Liu, Y. Li, and Y. Zhang, “Electromagnetically induced transparency based on cascaded pi-shaped graphene nanostructure,” Plasmonics 12(6), 1833–1839 (2016).
[Crossref]

O. Ozdemir, A. M. Aygar, O. Balci, C. Kocabas, H. Caglayan, and E. Ozbay, “Enhanced tunability of V-shaped plasmonic structures using ionic liquid gating and graphene,” Carbon 108, 515–520 (2016).
[Crossref]

A. M. Aygar, S. Cakmakyapan, O. Balci, C. Kocabas, H. Caglayan, and E. Ozbay, “Comparison of back and top gating schemes with tunable graphene fractal metasurfaces,” ACS Photonics 3(12), 2303–2307 (2016).
[Crossref]

X. Zhao, C. Yuan, L. Zhu, and J. Yao, “Graphene-based tunable terahertz plasmon-induced transparency metamaterial,” Nanoscale 8(33), 15273–15280 (2016).
[Crossref] [PubMed]

2015 (1)

2014 (1)

S. Cakmakyapan, H. Caglayan, and E. Ozbay, “Coupling enhancement of split ring resonators on graphene,” Carbon 80, 351–355 (2014).
[Crossref]

2013 (2)

2012 (2)

Y. Zou, P. Tassin, T. Koschny, and C. M. Soukoulis, “Interaction between graphene and metamaterials: split rings vs. wire pairs,” Opt. Express 20(11), 12198–12204 (2012).
[Crossref] [PubMed]

K. F. Mak, L. Ju, F. Wang, and T. F. Heinz, “Optical spectroscopy of graphene: from the far infrared to the ultraviolet,” Solid State Comm. 152(15), 1341–1349 (2012).
[Crossref]

2010 (3)

V. E. Dorgan, M. H. Bae, and E. Pop, “Mobility and saturation velocity in graphene on SiO2,” Appl. Phys. Lett. 97(8), 082112 (2010).
[Crossref]

N. Papasimakis, Z. Luo, Z. X. Shen, F. D. Angelis, E. D. Fabrizio, A. E. Nikolaenko, and N. I. Zheludev, “Graphene in a photonic metamaterial,” Opt. Express 18(8), 8353–8359 (2010).
[Crossref] [PubMed]

R. D. Kekatpure, E. S. Barnard, W. Cai, and M. L. Brongersma, “Phase-coupled plasmon induced transparency,” Phys. Rev. Lett. 104(24), 243902 (2010).
[Crossref] [PubMed]

2009 (3)

V. Yannopapas, E. Paspalakis, and N. V. Vitanov, “Electromagnetically induced transparency and slow light in an array of metallic nanoparticles,” Phys. Rev. B 80(3), 035104 (2009).
[Crossref]

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Low-loss metamaterials based on classical electromagnetically induced transparency,” Phys. Rev. Lett. 102(5), 5595–5605 (2009).
[Crossref]

N. Liu, L. Langguth, T. Weiss, J. Kastel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8(9), 758–762 (2009).
[Crossref] [PubMed]

2008 (3)

S. N. Papasimakis, V. A. Fedotov, N. I. Zheludev, and S. L. Prosvirnin, “Metamaterial analog of electromagnetically induced transparency,” Phys. Rev. Lett. 101(25), 253903 (2008).
[Crossref] [PubMed]

T. F. Krauss, “Why do we need slow light?” Nat. Photonics 2(8), 448–450 (2008).
[Crossref]

Z. Q. Li, E. A. Henriksen, Z. Jiang, Z. Hao, M. C. Martin, P. Kim, H. L. Stormer, and D. N. Basov, “Dirac charge dynamics in graphene by infrared spectroscopy,” Nat. Phys. 4(7), 532–535 (2008).
[Crossref]

2007 (2)

2005 (3)

K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, M. I. Katsnelson, I. V. Grigorieva, S. V. Dubonos, and A. A. Firsov, “Two-dimensional gas of massless Dirac fermions in graphene,” Nature 438(7065), 197–200 (2005).
[Crossref] [PubMed]

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, “Electromagnetically induced transparency: Optics in coherent media,” Rev. Mod. Phys. 77(2), 633–673 (2005).
[Crossref]

Y. A. Vlasov, M. O. Boyle, H. F. Hamann, and S. J. McNab, “Active control of slow light on a chip with photonic crystal waveguides,” Nature 438(7064), 65–69 (2005).
[Crossref] [PubMed]

2004 (1)

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(5696), 666–669 (2004).
[Crossref] [PubMed]

2003 (1)

Y. Wu, J. Saldana, and Y. Zhu, “Large enhancement of four-wave mixing by suppression of photon absorption from electromagnetically induced transparency,” Phys. Rev. A 67(1), 013811 (2003).
[Crossref]

1998 (1)

J. P. Marangos, “Topical review electromagnetically induced transparency,” J. Mod. Opt. 45(3), 471–503 (1998).
[Crossref]

1995 (1)

A. Kasapi, M. Jain, G. Y. Yin, and S. E. Harris, “Electromagnetically induced transparency: propagation dynamics,” Phys. Rev. Lett. 74(13), 2447–2450 (1995).
[Crossref] [PubMed]

1992 (1)

S. E. Harris, J. E. Field, and A. Kasapi, “Dispersive properties of electromagnetically induced transparency,” Phys. Rev. A 46(1), R29–R32 (1992).
[Crossref] [PubMed]

1991 (1)

K. J. Boller, A. Imamoglu, and S. E. Harris, “Observation of electromagnetically induced transparency,” Phys. Rev. Lett. 66(20), 2593–2596 (1991).
[Crossref] [PubMed]

1980 (1)

H. H. Li, “Refractive index of alkaline earth halides and its wavelength and temperature derivatives,” J. Phys. Chem. Ref. Data 9(1), 161–290 (1980).
[Crossref]

Angelis, F. D.

Aygar, A. M.

O. Ozdemir, A. M. Aygar, O. Balci, C. Kocabas, H. Caglayan, and E. Ozbay, “Enhanced tunability of V-shaped plasmonic structures using ionic liquid gating and graphene,” Carbon 108, 515–520 (2016).
[Crossref]

A. M. Aygar, S. Cakmakyapan, O. Balci, C. Kocabas, H. Caglayan, and E. Ozbay, “Comparison of back and top gating schemes with tunable graphene fractal metasurfaces,” ACS Photonics 3(12), 2303–2307 (2016).
[Crossref]

Bae, M. H.

V. E. Dorgan, M. H. Bae, and E. Pop, “Mobility and saturation velocity in graphene on SiO2,” Appl. Phys. Lett. 97(8), 082112 (2010).
[Crossref]

Balci, O.

O. Ozdemir, A. M. Aygar, O. Balci, C. Kocabas, H. Caglayan, and E. Ozbay, “Enhanced tunability of V-shaped plasmonic structures using ionic liquid gating and graphene,” Carbon 108, 515–520 (2016).
[Crossref]

A. M. Aygar, S. Cakmakyapan, O. Balci, C. Kocabas, H. Caglayan, and E. Ozbay, “Comparison of back and top gating schemes with tunable graphene fractal metasurfaces,” ACS Photonics 3(12), 2303–2307 (2016).
[Crossref]

Barnard, E. S.

R. D. Kekatpure, E. S. Barnard, W. Cai, and M. L. Brongersma, “Phase-coupled plasmon induced transparency,” Phys. Rev. Lett. 104(24), 243902 (2010).
[Crossref] [PubMed]

Basov, D. N.

Z. Q. Li, E. A. Henriksen, Z. Jiang, Z. Hao, M. C. Martin, P. Kim, H. L. Stormer, and D. N. Basov, “Dirac charge dynamics in graphene by infrared spectroscopy,” Nat. Phys. 4(7), 532–535 (2008).
[Crossref]

Boller, K. J.

K. J. Boller, A. Imamoglu, and S. E. Harris, “Observation of electromagnetically induced transparency,” Phys. Rev. Lett. 66(20), 2593–2596 (1991).
[Crossref] [PubMed]

Boyle, M. O.

Y. A. Vlasov, M. O. Boyle, H. F. Hamann, and S. J. McNab, “Active control of slow light on a chip with photonic crystal waveguides,” Nature 438(7064), 65–69 (2005).
[Crossref] [PubMed]

Brongersma, M. L.

R. D. Kekatpure, E. S. Barnard, W. Cai, and M. L. Brongersma, “Phase-coupled plasmon induced transparency,” Phys. Rev. Lett. 104(24), 243902 (2010).
[Crossref] [PubMed]

Caglayan, H.

A. M. Aygar, S. Cakmakyapan, O. Balci, C. Kocabas, H. Caglayan, and E. Ozbay, “Comparison of back and top gating schemes with tunable graphene fractal metasurfaces,” ACS Photonics 3(12), 2303–2307 (2016).
[Crossref]

O. Ozdemir, A. M. Aygar, O. Balci, C. Kocabas, H. Caglayan, and E. Ozbay, “Enhanced tunability of V-shaped plasmonic structures using ionic liquid gating and graphene,” Carbon 108, 515–520 (2016).
[Crossref]

S. Cakmakyapan, H. Caglayan, and E. Ozbay, “Coupling enhancement of split ring resonators on graphene,” Carbon 80, 351–355 (2014).
[Crossref]

Cai, W.

R. D. Kekatpure, E. S. Barnard, W. Cai, and M. L. Brongersma, “Phase-coupled plasmon induced transparency,” Phys. Rev. Lett. 104(24), 243902 (2010).
[Crossref] [PubMed]

Cakmakyapan, S.

A. M. Aygar, S. Cakmakyapan, O. Balci, C. Kocabas, H. Caglayan, and E. Ozbay, “Comparison of back and top gating schemes with tunable graphene fractal metasurfaces,” ACS Photonics 3(12), 2303–2307 (2016).
[Crossref]

S. Cakmakyapan, H. Caglayan, and E. Ozbay, “Coupling enhancement of split ring resonators on graphene,” Carbon 80, 351–355 (2014).
[Crossref]

Cao, Y.

H. Zhang, Y. Cao, Y. Liu, Y. Li, and Y. Zhang, “A novel graphene metamaterial design for tunable terahertz plasmon induced transparency by two bright mode coupling,” Opt. Commun. 391, 9–15 (2017).
[Crossref]

H. Zhang, Y. Cao, Y. Liu, Y. Li, and Y. Zhang, “Electromagnetically induced transparency based on cascaded pi-shaped graphene nanostructure,” Plasmonics 12(6), 1833–1839 (2016).
[Crossref]

Chen, H.

Chen, L.

X. Zhou, T. Zhang, X. Yin, L. Chen, and X. Li, “Dynamically tunable electromagnetically induced transparency in graphene-based coupled micro-ring resonators,” IEEE Photonics J. 9(2), 1–9 (2017).
[Crossref]

Cheng, L.

X. Yan, T. Wang, S. Xiao, T. Liu, H. Hou, L. Cheng, and X. Jiang, “Dynamically controllable plasmon induced transparency based on hybrid metal-graphene metamaterials,” Sci. Rep. 7(1), 13917 (2017).
[Crossref] [PubMed]

S. Xiao, T. Wang, X. Jiang, X. Yan, L. Cheng, B. Wang, and C. Xu, “Strong interaction between graphene layer and Fano resonance in terahertz metamaterials,” J. Phys. D: Appl. Phys. 50(19), 195101 (2017).
[Crossref]

Cheng, Q.

J. Xie, X. Zhu, X. Zang, Q. Cheng, Y. Ye, and Y. Zhu, “High extinction ratio electromagnetically induced transparency analogue based on the radiation suppression of dark modes,” Sci. Rep. 7(1), 11291 (2017).
[Crossref] [PubMed]

Dai, Y. Y.

Deutsch, M.

Dorgan, V. E.

V. E. Dorgan, M. H. Bae, and E. Pop, “Mobility and saturation velocity in graphene on SiO2,” Appl. Phys. Lett. 97(8), 082112 (2010).
[Crossref]

Dubonos, S. V.

K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, M. I. Katsnelson, I. V. Grigorieva, S. V. Dubonos, and A. A. Firsov, “Two-dimensional gas of massless Dirac fermions in graphene,” Nature 438(7065), 197–200 (2005).
[Crossref] [PubMed]

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(5696), 666–669 (2004).
[Crossref] [PubMed]

Economou, E. N.

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Low-loss metamaterials based on classical electromagnetically induced transparency,” Phys. Rev. Lett. 102(5), 5595–5605 (2009).
[Crossref]

Fabrizio, E. D.

Fedotov, V. A.

S. N. Papasimakis, V. A. Fedotov, N. I. Zheludev, and S. L. Prosvirnin, “Metamaterial analog of electromagnetically induced transparency,” Phys. Rev. Lett. 101(25), 253903 (2008).
[Crossref] [PubMed]

Field, J. E.

S. E. Harris, J. E. Field, and A. Kasapi, “Dispersive properties of electromagnetically induced transparency,” Phys. Rev. A 46(1), R29–R32 (1992).
[Crossref] [PubMed]

Firsov, A. A.

K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, M. I. Katsnelson, I. V. Grigorieva, S. V. Dubonos, and A. A. Firsov, “Two-dimensional gas of massless Dirac fermions in graphene,” Nature 438(7065), 197–200 (2005).
[Crossref] [PubMed]

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(5696), 666–669 (2004).
[Crossref] [PubMed]

Fleischhauer, M.

N. Liu, L. Langguth, T. Weiss, J. Kastel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8(9), 758–762 (2009).
[Crossref] [PubMed]

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, “Electromagnetically induced transparency: Optics in coherent media,” Rev. Mod. Phys. 77(2), 633–673 (2005).
[Crossref]

Geim, A. K.

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H. Zhang, Y. Cao, Y. Liu, Y. Li, and Y. Zhang, “Electromagnetically induced transparency based on cascaded pi-shaped graphene nanostructure,” Plasmonics 12(6), 1833–1839 (2016).
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Zhang, L.

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Low-loss metamaterials based on classical electromagnetically induced transparency,” Phys. Rev. Lett. 102(5), 5595–5605 (2009).
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Zhang, T.

X. Zhou, T. Zhang, X. Yin, L. Chen, and X. Li, “Dynamically tunable electromagnetically induced transparency in graphene-based coupled micro-ring resonators,” IEEE Photonics J. 9(2), 1–9 (2017).
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Zhang, Y.

H. Zhang, Y. Cao, Y. Liu, Y. Li, and Y. Zhang, “A novel graphene metamaterial design for tunable terahertz plasmon induced transparency by two bright mode coupling,” Opt. Commun. 391, 9–15 (2017).
[Crossref]

H. Zhang, Y. Cao, Y. Liu, Y. Li, and Y. Zhang, “Electromagnetically induced transparency based on cascaded pi-shaped graphene nanostructure,” Plasmonics 12(6), 1833–1839 (2016).
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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(5696), 666–669 (2004).
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Zhao, X.

X. Zhao, C. Yuan, L. Zhu, and J. Yao, “Graphene-based tunable terahertz plasmon-induced transparency metamaterial,” Nanoscale 8(33), 15273–15280 (2016).
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X. Zhou, T. Zhang, X. Yin, L. Chen, and X. Li, “Dynamically tunable electromagnetically induced transparency in graphene-based coupled micro-ring resonators,” IEEE Photonics J. 9(2), 1–9 (2017).
[Crossref]

Zhu, L.

X. Zhao, C. Yuan, L. Zhu, and J. Yao, “Graphene-based tunable terahertz plasmon-induced transparency metamaterial,” Nanoscale 8(33), 15273–15280 (2016).
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Zhu, X.

J. Xie, X. Zhu, X. Zang, Q. Cheng, Y. Ye, and Y. Zhu, “High extinction ratio electromagnetically induced transparency analogue based on the radiation suppression of dark modes,” Sci. Rep. 7(1), 11291 (2017).
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Zhu, Y.

J. Xie, X. Zhu, X. Zang, Q. Cheng, Y. Ye, and Y. Zhu, “High extinction ratio electromagnetically induced transparency analogue based on the radiation suppression of dark modes,” Sci. Rep. 7(1), 11291 (2017).
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Zhuang, H.

Zi, J.

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IEEE Photonics J. (1)

X. Zhou, T. Zhang, X. Yin, L. Chen, and X. Li, “Dynamically tunable electromagnetically induced transparency in graphene-based coupled micro-ring resonators,” IEEE Photonics J. 9(2), 1–9 (2017).
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Nanoscale (1)

X. Zhao, C. Yuan, L. Zhu, and J. Yao, “Graphene-based tunable terahertz plasmon-induced transparency metamaterial,” Nanoscale 8(33), 15273–15280 (2016).
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Z. Q. Li, E. A. Henriksen, Z. Jiang, Z. Hao, M. C. Martin, P. Kim, H. L. Stormer, and D. N. Basov, “Dirac charge dynamics in graphene by infrared spectroscopy,” Nat. Phys. 4(7), 532–535 (2008).
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Nature (2)

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Opt. Commun. (1)

H. Zhang, Y. Cao, Y. Liu, Y. Li, and Y. Zhang, “A novel graphene metamaterial design for tunable terahertz plasmon induced transparency by two bright mode coupling,” Opt. Commun. 391, 9–15 (2017).
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Opt. Express (3)

Opt. Lett. (1)

Phys. Chem. Chem. Phys. (1)

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Phys. Rev. A (2)

Y. Wu, J. Saldana, and Y. Zhu, “Large enhancement of four-wave mixing by suppression of photon absorption from electromagnetically induced transparency,” Phys. Rev. A 67(1), 013811 (2003).
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[Crossref] [PubMed]

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Low-loss metamaterials based on classical electromagnetically induced transparency,” Phys. Rev. Lett. 102(5), 5595–5605 (2009).
[Crossref]

Plasmonics (1)

H. Zhang, Y. Cao, Y. Liu, Y. Li, and Y. Zhang, “Electromagnetically induced transparency based on cascaded pi-shaped graphene nanostructure,” Plasmonics 12(6), 1833–1839 (2016).
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M. Fleischhauer, A. Imamoglu, and J. P. Marangos, “Electromagnetically induced transparency: Optics in coherent media,” Rev. Mod. Phys. 77(2), 633–673 (2005).
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Sci. Rep. (3)

J. Xie, X. Zhu, X. Zang, Q. Cheng, Y. Ye, and Y. Zhu, “High extinction ratio electromagnetically induced transparency analogue based on the radiation suppression of dark modes,” Sci. Rep. 7(1), 11291 (2017).
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X. Yan, T. Wang, S. Xiao, T. Liu, H. Hou, L. Cheng, and X. Jiang, “Dynamically controllable plasmon induced transparency based on hybrid metal-graphene metamaterials,” Sci. Rep. 7(1), 13917 (2017).
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Science (2)

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(5696), 666–669 (2004).
[Crossref] [PubMed]

P. Tassin, T. Koschny, and C. M. Soukoulis, “Graphene for terahertz applications,” Science 341(6146), 620–621 (2013).
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Solid State Comm. (1)

K. F. Mak, L. Ju, F. Wang, and T. F. Heinz, “Optical spectroscopy of graphene: from the far infrared to the ultraviolet,” Solid State Comm. 152(15), 1341–1349 (2012).
[Crossref]

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Figures (4)

Fig. 1
Fig. 1 (a) Unit cell of PIT structure. Two Au strips (golden) with lengths of L1 and L2 on graphene (grey) are presented. Two devices are designed with two different lengths of strips. Px and Py show periodicity of unit cell. (b) Schematic of ionic gating of PIT device. Two BaF2 substrates are used. The first one with Au strips on graphene (purple), which is connected to the source by conductive tape (black). The second one with a window for FTIR measurements and coated with Ti/Au (golden), which is connected to second terminal of the source. Ionic liquid (light blue) is injected between these two substrates. (c) SEM image of PIT structure.
Fig. 2
Fig. 2 Simulated and FTIR measurement of PIT structures. Simulated results of (a) shorter dimension and (b) longer dimension for different Ef. Normalized transmission for (c) shorter dimension and (d) longer dimension at −0.6 V, 0.9 V and 2.4 V, SEM image with dimension in the inset.
Fig. 3
Fig. 3 E-field magnitude at 0.5 eV for (a) 7.75 µm. (b) 8.22 µm (c) 9.06 µm.
Fig. 4
Fig. 4 Simulation results of reflection and absorption at 0.5 eV for shorter dimension.

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

E f = ν F π n
σ ( ω ) = e 2 ω i π [ + | ϵ | ω 2 d f 0 ( ϵ ) d ϵ d ϵ 0 + f 0 ( ϵ ) f 0 ( ϵ ) ( ω + i δ ) 2 4 ϵ 2 d ϵ ]
σ i n t r a ( ω ) = 2 i e 2 T π ( ω + i τ 1 ) l n [ 2 c o s h ( μ c 2 T ) ]
S con = ( T peak T dip ) ( T peak + T dip ) × 100

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