Abstract

We theoretically investigate the strong coupling of a topological photonic state (TPS) and Tamm plasmon polaritons (TPPs) in a graphene embedded one-dimensional topological photonic crystal (TPC)/Ag structure in visible range. It is shown that the strong interaction of a TPS at the TPC heterointerface and TPP at the Ag surface enables a large Rabi splitting up to 96.8 meV with a dual-narrow-band perfect absorption. A spectral linewidth of the hybrid mode can be 0.3 nm with a Q factor of 1078. The numerical results also reveal that mode coupling can be either tuned by adjusting the geometric parameters or actively controlled by the incident angle, offering a remarkable polarization-independent strong light-matter interaction. The coupled mode theory is employed to explain the strong TPS-TPP coupling. The polarization-independent and controllable strong mode coupling with a dual-narrow-band perfect absorption in this simple lamellar geometry offers new possibilities for developing various on-chip optical detection, sensing, filtering, and light-emitting devices.

© 2019 Optical Society of America

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References

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2019 (2)

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[Crossref]

C. Symonds, S. Azzini, G. Lheureux, A. Piednoir, J. M. Benoit, A. Lemaitre, P. Senellart, and J. Bellessa, Sci. Rep. 7, 3859 (2017).
[Crossref]

2016 (3)

2015 (1)

2014 (5)

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[Crossref]

M. Xiao, Z. Zhang, and C. Chan, Phys. Rev. X 4, 021017 (2014).
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[Crossref]

X. Liu, T. Galfsky, Z. Sun, F. Xia, E.-C. Lin, Y. H. Lee, S. Kéna-Cohen, and V. M. Menon, Nat. Photonics 9, 30 (2014).
[Crossref]

B. Peng, Ş. K. Özdemir, W. Chen, F. Nori, and L. Yang, Nat. Commun. 5, 5082 (2014).
[Crossref]

2013 (2)

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[Crossref]

C. Symonds, G. Lheureux, J. Hugonin, J. Greffet, J. Laverdant, G. Brucoli, A. Lemaitre, P. Senellart, and J. Bellessa, Nano Lett. 13, 3179 (2013).
[Crossref]

2012 (2)

X. Zhang, J. Song, X. Li, J. Feng, and H. Sun, Appl. Phys. Lett. 101, 243901 (2012).
[Crossref]

A. Salomon, R. J. Gordon, Y. Prior, T. Seideman, and M. Sukharev, Phys. Rev. Lett. 109, 073002 (2012).
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2009 (1)

M. Bruna and S. Borini, Appl. Phys. Lett. 94, 031901 (2009).
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2008 (1)

2007 (2)

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[Crossref]

V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, Phys. Rev. Lett. 99, 147401 (2007).
[Crossref]

1995 (1)

V. Savona, L. C. Andreani, P. Schwendimann, and A. Quattropani, Solid State Commun. 93, 733 (1995).
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Abram, R. A.

M. Kaliteevski, I. Iorsh, S. Brand, R. A. Abram, J. M. Chamberlain, A. V. Kavokin, and I. A. Shelykh, Phys. Rev. B 76, 165415 (2007).
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V. Savona, L. C. Andreani, P. Schwendimann, and A. Quattropani, Solid State Commun. 93, 733 (1995).
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Auffèves, A.

A. Auffèves, D. Gerace, M. Richard, S. Portolan, M. Santos, L. Kwek, and C. Miniatura, Strong Light-Matter Coupling: From Atoms to Solid-State Systems (World Scientific, 2014).

Azzini, S.

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Bellessa, J.

C. Symonds, S. Azzini, G. Lheureux, A. Piednoir, J. M. Benoit, A. Lemaitre, P. Senellart, and J. Bellessa, Sci. Rep. 7, 3859 (2017).
[Crossref]

C. Symonds, G. Lheureux, J. Hugonin, J. Greffet, J. Laverdant, G. Brucoli, A. Lemaitre, P. Senellart, and J. Bellessa, Nano Lett. 13, 3179 (2013).
[Crossref]

Benoit, J. M.

C. Symonds, S. Azzini, G. Lheureux, A. Piednoir, J. M. Benoit, A. Lemaitre, P. Senellart, and J. Bellessa, Sci. Rep. 7, 3859 (2017).
[Crossref]

Borini, S.

M. Bruna and S. Borini, Appl. Phys. Lett. 94, 031901 (2009).
[Crossref]

Brand, S.

M. Kaliteevski, I. Iorsh, S. Brand, R. A. Abram, J. M. Chamberlain, A. V. Kavokin, and I. A. Shelykh, Phys. Rev. B 76, 165415 (2007).
[Crossref]

Brucoli, G.

C. Symonds, G. Lheureux, J. Hugonin, J. Greffet, J. Laverdant, G. Brucoli, A. Lemaitre, P. Senellart, and J. Bellessa, Nano Lett. 13, 3179 (2013).
[Crossref]

Bruna, M.

M. Bruna and S. Borini, Appl. Phys. Lett. 94, 031901 (2009).
[Crossref]

Chai, Z.

Chamberlain, J. M.

M. Kaliteevski, I. Iorsh, S. Brand, R. A. Abram, J. M. Chamberlain, A. V. Kavokin, and I. A. Shelykh, Phys. Rev. B 76, 165415 (2007).
[Crossref]

Chan, C.

Chen, H.

Chen, W.

B. Peng, Ş. K. Özdemir, W. Chen, F. Nori, and L. Yang, Nat. Commun. 5, 5082 (2014).
[Crossref]

Chu, S.

C. Li, X. Hu, W. Gao, Y. Ao, S. Chu, H. Yang, and Q. Gong, Adv. Opt. Mater. 6, 1701071 (2018).
[Crossref]

Cui, T.

Dai, X.

X. Wang, Y. Liang, L. Wu, J. Guo, X. Dai, and Y. Xiang, Opt. Lett. 43, 4256 (2018).
[Crossref]

X. Wang, X. Jiang, Q. You, J. Guo, X. Dai, and Y. Xiang, Photonics Res. 5, 536 (2017).
[Crossref]

Fang, C.

L. Lu, C. Fang, L. Fu, S. Johnson, J. Joannopoulos, and M. Soljačić, Nat. Phys. 12, 337 (2016).
[Crossref]

Fedotov, V. A.

V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, Phys. Rev. Lett. 99, 147401 (2007).
[Crossref]

Feng, J.

X. Zhang, J. Song, X. Li, J. Feng, and H. Sun, Appl. Phys. Lett. 101, 243901 (2012).
[Crossref]

Fu, L.

L. Lu, C. Fang, L. Fu, S. Johnson, J. Joannopoulos, and M. Soljačić, Nat. Phys. 12, 337 (2016).
[Crossref]

Fung, K.

Galfsky, T.

X. Liu, T. Galfsky, Z. Sun, F. Xia, E.-C. Lin, Y. H. Lee, S. Kéna-Cohen, and V. M. Menon, Nat. Photonics 9, 30 (2014).
[Crossref]

Gan, X.

Gao, W.

W. Gao, X. Hu, C. Li, J. Yang, Z. Chai, J. Xie, and Q. Gong, Opt. Express 26, 8634 (2018).
[Crossref]

C. Li, X. Hu, W. Gao, Y. Ao, S. Chu, H. Yang, and Q. Gong, Adv. Opt. Mater. 6, 1701071 (2018).
[Crossref]

Gerace, D.

A. Auffèves, D. Gerace, M. Richard, S. Portolan, M. Santos, L. Kwek, and C. Miniatura, Strong Light-Matter Coupling: From Atoms to Solid-State Systems (World Scientific, 2014).

Gong, Q.

W. Gao, X. Hu, C. Li, J. Yang, Z. Chai, J. Xie, and Q. Gong, Opt. Express 26, 8634 (2018).
[Crossref]

C. Li, X. Hu, W. Gao, Y. Ao, S. Chu, H. Yang, and Q. Gong, Adv. Opt. Mater. 6, 1701071 (2018).
[Crossref]

Gordon, R. J.

A. Salomon, R. J. Gordon, Y. Prior, T. Seideman, and M. Sukharev, Phys. Rev. Lett. 109, 073002 (2012).
[Crossref]

Greffet, J.

C. Symonds, G. Lheureux, J. Hugonin, J. Greffet, J. Laverdant, G. Brucoli, A. Lemaitre, P. Senellart, and J. Bellessa, Nano Lett. 13, 3179 (2013).
[Crossref]

Guo, J.

X. Wang, Y. Liang, L. Wu, J. Guo, X. Dai, and Y. Xiang, Opt. Lett. 43, 4256 (2018).
[Crossref]

X. Wang, X. Jiang, Q. You, J. Guo, X. Dai, and Y. Xiang, Photonics Res. 5, 536 (2017).
[Crossref]

Hu, J.

Hu, X.

W. Gao, X. Hu, C. Li, J. Yang, Z. Chai, J. Xie, and Q. Gong, Opt. Express 26, 8634 (2018).
[Crossref]

C. Li, X. Hu, W. Gao, Y. Ao, S. Chu, H. Yang, and Q. Gong, Adv. Opt. Mater. 6, 1701071 (2018).
[Crossref]

Hugonin, J.

C. Symonds, G. Lheureux, J. Hugonin, J. Greffet, J. Laverdant, G. Brucoli, A. Lemaitre, P. Senellart, and J. Bellessa, Nano Lett. 13, 3179 (2013).
[Crossref]

Iorsh, I.

M. Kaliteevski, I. Iorsh, S. Brand, R. A. Abram, J. M. Chamberlain, A. V. Kavokin, and I. A. Shelykh, Phys. Rev. B 76, 165415 (2007).
[Crossref]

Ivchenko, E. L.

A. V. Poshakinskiy, A. N. Poddubny, L. Pilozzi, and E. L. Ivchenko, Phys. Rev. Lett. 112, 107403 (2014).
[Crossref]

Jia, B.

Jiang, J.

Jiang, X.

X. Wang, X. Jiang, Q. You, J. Guo, X. Dai, and Y. Xiang, Photonics Res. 5, 536 (2017).
[Crossref]

Joannopoulos, J.

L. Lu, C. Fang, L. Fu, S. Johnson, J. Joannopoulos, and M. Soljačić, Nat. Phys. 12, 337 (2016).
[Crossref]

L. Lu, J. Joannopoulos, and M. Soljačić, Nat. Photonics 8, 821 (2014).
[Crossref]

Johnson, S.

L. Lu, C. Fang, L. Fu, S. Johnson, J. Joannopoulos, and M. Soljačić, Nat. Phys. 12, 337 (2016).
[Crossref]

Kaliteevski, M.

M. Kaliteevski, I. Iorsh, S. Brand, R. A. Abram, J. M. Chamberlain, A. V. Kavokin, and I. A. Shelykh, Phys. Rev. B 76, 165415 (2007).
[Crossref]

Kavokin, A. V.

M. Kaliteevski, I. Iorsh, S. Brand, R. A. Abram, J. M. Chamberlain, A. V. Kavokin, and I. A. Shelykh, Phys. Rev. B 76, 165415 (2007).
[Crossref]

Kéna-Cohen, S.

X. Liu, T. Galfsky, Z. Sun, F. Xia, E.-C. Lin, Y. H. Lee, S. Kéna-Cohen, and V. M. Menon, Nat. Photonics 9, 30 (2014).
[Crossref]

Kim, H.

Kwek, L.

A. Auffèves, D. Gerace, M. Richard, S. Portolan, M. Santos, L. Kwek, and C. Miniatura, Strong Light-Matter Coupling: From Atoms to Solid-State Systems (World Scientific, 2014).

Laverdant, J.

C. Symonds, G. Lheureux, J. Hugonin, J. Greffet, J. Laverdant, G. Brucoli, A. Lemaitre, P. Senellart, and J. Bellessa, Nano Lett. 13, 3179 (2013).
[Crossref]

Lee, B.

Lee, Y. H.

X. Liu, T. Galfsky, Z. Sun, F. Xia, E.-C. Lin, Y. H. Lee, S. Kéna-Cohen, and V. M. Menon, Nat. Photonics 9, 30 (2014).
[Crossref]

Lemaitre, A.

C. Symonds, S. Azzini, G. Lheureux, A. Piednoir, J. M. Benoit, A. Lemaitre, P. Senellart, and J. Bellessa, Sci. Rep. 7, 3859 (2017).
[Crossref]

C. Symonds, G. Lheureux, J. Hugonin, J. Greffet, J. Laverdant, G. Brucoli, A. Lemaitre, P. Senellart, and J. Bellessa, Nano Lett. 13, 3179 (2013).
[Crossref]

Lheureux, G.

C. Symonds, S. Azzini, G. Lheureux, A. Piednoir, J. M. Benoit, A. Lemaitre, P. Senellart, and J. Bellessa, Sci. Rep. 7, 3859 (2017).
[Crossref]

C. Symonds, G. Lheureux, J. Hugonin, J. Greffet, J. Laverdant, G. Brucoli, A. Lemaitre, P. Senellart, and J. Bellessa, Nano Lett. 13, 3179 (2013).
[Crossref]

Li, C.

C. Li, X. Hu, W. Gao, Y. Ao, S. Chu, H. Yang, and Q. Gong, Adv. Opt. Mater. 6, 1701071 (2018).
[Crossref]

W. Gao, X. Hu, C. Li, J. Yang, Z. Chai, J. Xie, and Q. Gong, Opt. Express 26, 8634 (2018).
[Crossref]

Li, D.

Li, X.

X. Zhang, J. Song, X. Li, J. Feng, and H. Sun, Appl. Phys. Lett. 101, 243901 (2012).
[Crossref]

Liang, Y.

Lin, E.-C.

X. Liu, T. Galfsky, Z. Sun, F. Xia, E.-C. Lin, Y. H. Lee, S. Kéna-Cohen, and V. M. Menon, Nat. Photonics 9, 30 (2014).
[Crossref]

Ling, C.

Liu, W.

Liu, X.

X. Liu, T. Galfsky, Z. Sun, F. Xia, E.-C. Lin, Y. H. Lee, S. Kéna-Cohen, and V. M. Menon, Nat. Photonics 9, 30 (2014).
[Crossref]

Longhi, S.

Lu, H.

Lu, L.

L. Lu, C. Fang, L. Fu, S. Johnson, J. Joannopoulos, and M. Soljačić, Nat. Phys. 12, 337 (2016).
[Crossref]

L. Lu, J. Joannopoulos, and M. Soljačić, Nat. Photonics 8, 821 (2014).
[Crossref]

Lu, Y.

Ma, H.

Mao, D.

Menon, V. M.

X. Liu, T. Galfsky, Z. Sun, F. Xia, E.-C. Lin, Y. H. Lee, S. Kéna-Cohen, and V. M. Menon, Nat. Photonics 9, 30 (2014).
[Crossref]

Miniatura, C.

A. Auffèves, D. Gerace, M. Richard, S. Portolan, M. Santos, L. Kwek, and C. Miniatura, Strong Light-Matter Coupling: From Atoms to Solid-State Systems (World Scientific, 2014).

Nori, F.

B. Peng, Ş. K. Özdemir, W. Chen, F. Nori, and L. Yang, Nat. Commun. 5, 5082 (2014).
[Crossref]

Özdemir, S. K.

B. Peng, Ş. K. Özdemir, W. Chen, F. Nori, and L. Yang, Nat. Commun. 5, 5082 (2014).
[Crossref]

Papasimakis, N.

V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, Phys. Rev. Lett. 99, 147401 (2007).
[Crossref]

Park, J.

Peng, B.

B. Peng, Ş. K. Özdemir, W. Chen, F. Nori, and L. Yang, Nat. Commun. 5, 5082 (2014).
[Crossref]

Piednoir, A.

C. Symonds, S. Azzini, G. Lheureux, A. Piednoir, J. M. Benoit, A. Lemaitre, P. Senellart, and J. Bellessa, Sci. Rep. 7, 3859 (2017).
[Crossref]

Pilozzi, L.

A. V. Poshakinskiy, A. N. Poddubny, L. Pilozzi, and E. L. Ivchenko, Phys. Rev. Lett. 112, 107403 (2014).
[Crossref]

Poddubny, A. N.

A. V. Poshakinskiy, A. N. Poddubny, L. Pilozzi, and E. L. Ivchenko, Phys. Rev. Lett. 112, 107403 (2014).
[Crossref]

Portolan, S.

A. Auffèves, D. Gerace, M. Richard, S. Portolan, M. Santos, L. Kwek, and C. Miniatura, Strong Light-Matter Coupling: From Atoms to Solid-State Systems (World Scientific, 2014).

Poshakinskiy, A. V.

A. V. Poshakinskiy, A. N. Poddubny, L. Pilozzi, and E. L. Ivchenko, Phys. Rev. Lett. 112, 107403 (2014).
[Crossref]

Prior, Y.

A. Salomon, R. J. Gordon, Y. Prior, T. Seideman, and M. Sukharev, Phys. Rev. Lett. 109, 073002 (2012).
[Crossref]

Prosvirnin, S. L.

V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, Phys. Rev. Lett. 99, 147401 (2007).
[Crossref]

Qing, Y.

Quattropani, A.

V. Savona, L. C. Andreani, P. Schwendimann, and A. Quattropani, Solid State Commun. 93, 733 (1995).
[Crossref]

Richard, M.

A. Auffèves, D. Gerace, M. Richard, S. Portolan, M. Santos, L. Kwek, and C. Miniatura, Strong Light-Matter Coupling: From Atoms to Solid-State Systems (World Scientific, 2014).

Rose, M.

V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, Phys. Rev. Lett. 99, 147401 (2007).
[Crossref]

Salomon, A.

A. Salomon, R. J. Gordon, Y. Prior, T. Seideman, and M. Sukharev, Phys. Rev. Lett. 109, 073002 (2012).
[Crossref]

Santos, M.

A. Auffèves, D. Gerace, M. Richard, S. Portolan, M. Santos, L. Kwek, and C. Miniatura, Strong Light-Matter Coupling: From Atoms to Solid-State Systems (World Scientific, 2014).

Savona, V.

V. Savona, L. C. Andreani, P. Schwendimann, and A. Quattropani, Solid State Commun. 93, 733 (1995).
[Crossref]

Schwendimann, P.

V. Savona, L. C. Andreani, P. Schwendimann, and A. Quattropani, Solid State Commun. 93, 733 (1995).
[Crossref]

Seideman, T.

A. Salomon, R. J. Gordon, Y. Prior, T. Seideman, and M. Sukharev, Phys. Rev. Lett. 109, 073002 (2012).
[Crossref]

Senellart, P.

C. Symonds, S. Azzini, G. Lheureux, A. Piednoir, J. M. Benoit, A. Lemaitre, P. Senellart, and J. Bellessa, Sci. Rep. 7, 3859 (2017).
[Crossref]

C. Symonds, G. Lheureux, J. Hugonin, J. Greffet, J. Laverdant, G. Brucoli, A. Lemaitre, P. Senellart, and J. Bellessa, Nano Lett. 13, 3179 (2013).
[Crossref]

Shelykh, I. A.

M. Kaliteevski, I. Iorsh, S. Brand, R. A. Abram, J. M. Chamberlain, A. V. Kavokin, and I. A. Shelykh, Phys. Rev. B 76, 165415 (2007).
[Crossref]

Soljacic, M.

L. Lu, C. Fang, L. Fu, S. Johnson, J. Joannopoulos, and M. Soljačić, Nat. Phys. 12, 337 (2016).
[Crossref]

L. Lu, J. Joannopoulos, and M. Soljačić, Nat. Photonics 8, 821 (2014).
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Song, J.

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Figures (4)

Fig. 1.
Fig. 1. Schematic of a 1D TPC heterostructure on an Ag slab for strong TPS-TPP coupling: (a) top view and (b) side view. (c) Energy band diagram for PhC1 and PhC2. (d) Reflection (blue) and absorption (red) spectrum of the plain PhC1/PhC2 and PhC2/Ag structures. The | E | field distribution at the reflection dip (522.1 nm) and the absorption peak (521.8 nm) in (d) are displayed in (e) and (f).
Fig. 2.
Fig. 2. (a) Absorption curve of the coupled PCHS on a thick Ag substrate, where the solid line and circles correspond to the simulated and analytical results; the left and right insets show the | E | distributions for the hybrid modes. (b) Coupled oscillator model and (c) energy diagram for strong coupling of the TPS and TPP modes.
Fig. 3.
Fig. 3. (a) Absorption spectra of the hybrid structure as a function of d in PhC1; | E | field distributions at points of (1)–(3) are indicated on the right side. (b) Absorption spectra as t in PhC2; (c) absorption lines at t = 185 , 195, 205, 215, 225 nm in (b); (d) absorption spectra for the structure with different pair numbers N in PhC2; (e) Rabi energy as N . Other parameters of the structure are the same as those in Fig. 2(a).
Fig. 4.
Fig. 4. (a), (c) Absorption spectra versus the incident angle of light θ and (b), (d) the absorption curves at θ = 0 ° , 15°, and 30° for TM- and TE-polarized illumination, respectively. The geometric parameters of the structure are the same as those used in Fig. 2.

Equations (3)

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r m r PhC exp ( 2 i δ ) = 1 .
( E TPS + i Γ TPS V V E TPP + i Γ TPP ) ( α β ) = E ( α β ) ,
ω ( d ) = 1 2 ( ω TPS ( d ) + ω TPP ± 4 ω Ω 2 + [ ω TPS ( d ) ω TPP ] 2 ) ,