Abstract
AbstractElectrons with a linear energy/momentum dispersion are called massless Dirac electrons and represent the low-energy excitations in exotic materials such as graphene and topological insulators. Dirac electrons are characterized by notable properties such as a high mobility, a tunable density and, in topological insulators, a protection against backscattering through the spin–momentum locking mechanism. All those properties make graphene and topological insulators appealing for plasmonics applications. However, Dirac electrons are expected to present also a strong nonlinear optical behaviour. This should mirror in phenomena such as electromagnetic-induced transparency and harmonic generation. Here we demonstrate that in Bi2Se3 topological insulator, an electromagnetic-induced transparency is achieved under the application of a strong terahertz electric field. This effect, concomitantly determined by harmonic generation and charge-mobility reduction, is exclusively related to the presence of Dirac electron at the surface of Bi2Se3, and opens the road towards tunable terahertz nonlinear optical devices based on topological insulator materials.
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References
57
[1]
Boyd, R. W. Nonlinear Optics 3rd edn Academic (2008).
[2]
Fausti, D. et al. Light-induced superconductivity in a stripe-ordered cuprate. Science 331, 189–191 (2011). 10.1126/science.1197294
[3]
Rini, M. et al. Control of the electronic phase of a manganite by mode-selective vibrational excitation. Nature 449, 72–74 (2007). 10.1038/nature06119
[4]
Rulliere C. (ed.) Femtosecond Laser Pulses Springer (2005). 10.1007/b137908
[5]
Chen, Y.-C. et al. Ultrafast optical switching properties of single-wall carbon nanotube polymer composites at 1.55 m. App. Phys. Lett. 81, 975–977 (2002). 10.1063/1.1498007
[6]
US Department of Energy (ed.). Opportunities in THz Science. Report of a DOE-NSF-NIH Workshop, 12–14 February 2004 (Arlington, VA, USA, 2004), OSTI Identifier: 899222.
[7]
Hebling, J., Almási, G., Kozma, I. Z. & Kuhl, J. Velocity matching by pulse front tilting for large area THz-pulse generation. Opt. Express 10, 1161–1166 (2002). 10.1364/oe.10.001161
[8]
Matsuura, S., Tani, M. & Sakai, K. Generation of coherent terahertz radiation by photomixing in dipole photoconductive antennas. App. Phys. Lett. 70, 559–561 (1997). 10.1063/1.118337
[9]
Vicario, C. et al. High efficiency THz generation in DSTMS, DAST and OH1 pumped by Cr:forsterite laser. Opt. Express 23, 4573–4580 (2015). 10.1364/oe.23.004573
[10]
Carr, G. L. et al. High-power terahertz radiation from relativistic electrons. Nature 420, 153–156 (2002). 10.1038/nature01175
[11]
Chiadroni, E. et al. Characterization of the THz radiation source at the Frascati linear accelerator. Rev. Sci. Instrum. 84, 022703 (2013). 10.1063/1.4790429
[12]
Ferrario, M. et al. SPARC-LAB present and future. Nucl. Instrum. Methods Phys. Res. Sect. B 309, 183–188 (2013). 10.1016/j.nimb.2013.03.049
[13]
Ferrario, M. et al. Experimental demonstration of emittance compensation with velocity bunching. Phys. Rev. Lett. 104, 054801 (2010). 10.1103/physrevlett.104.054801
[14]
Chiadroni, E. et al. The SPARC linear accelerator based terahertz source. Appl. Phys. Lett 102, 09410 (2013). 10.1063/1.4794014
[15]
Perucchi, A. et al. The TeraFERMI terahertz source at the seeded FERMI free-electron-laser facility. Rev. Sci. Instrum. 84, 022702 (2013). 10.1063/1.4790428
[16]
Padilla, W. J. et al. Electrically resonant terahertz metamaterials: theoretical and experimental investigations. Phys. Rev. B 75, 041102 (2007). 10.1103/physrevb.75.041102
[17]
Limaj, O. et al. Superconductivity-induced transparency in terahertz metamaterials. ACS Photon. 1, 570–575 (2014). 10.1021/ph500104k
[18]
D’Apuzzo, F. et al. Resonating terahertz response of periodic arrays of subwavelength apertures. Plasmonics 10, 45–50 (2015). 10.1007/s11468-014-9775-3
[19]
Razzari, L. et al. Nonlinear ultrafast modulation of the optical absorption of intense few-cycle terahertz pulses in n-doped semiconductors. Phys. Rev. B 79, 19320 (2009). 10.1103/physrevb.79.193204
[20]
Hoffmann, M. C. & Turchinovich, D. Semiconductor saturable absorbers for ultrafast terahertz signals. App. Phys. Lett. 96, 151110 (2010). 10.1063/1.3386542
[21]
Hebling, J. et al. Observation of nonequilibrium carrier distribution in Ge, Si, and GaAs by terahertz pumpterahertz probe measurements. Phys. Rev. B 81, 035201 (2010). 10.1103/physrevb.81.035201
[22]
Dong, H., Conti, C. & Biancalana, F. Terahertz relativistic spatial solitons in doped graphene metamaterials. J. Phys. B At. Mol. Opt. Phys. 46, 155401 (2013). 10.1088/0953-4075/46/15/155401
[23]
Mikhalov, S. A. & Ziegler, K. Nonlinear electromagnetic response of graphene: frequency multiplication and the self-consistent-field effects. J. of Phys. Condens. Matter 20, 384204 (2008). 10.1088/0953-8984/20/38/384204
[24]
Mikhailov, S. A. Non-linear electromagnetic response of graphene. Europhys. Lett. 79, 27002 (2007). 10.1209/0295-5075/79/27002
[25]
Al-Naib, I., Poschmann, M. & Dignam, M. M. Optimizing third-harmonic generation at terahertz frequencies in graphene. Phys. Rev. B 91, 205407 (2015). 10.1103/physrevb.91.205407
[26]
Mikhailov, S. A. Quantum theory of third-harmonic generation in graphene. Phys. Rev. B 90, 241301 (2014). 10.1103/physrevb.90.241301
[27]
Cheng, J. L., Vermeulen, N. & Sipe, J. E. Third order nonlinearity of graphene: effects of phenomenological relaxation and finite temperature. Phys. Rev. B 91, 235320 (2015). 10.1103/physrevb.91.235320
[28]
Bowlan, P., Martinez-Moreno, E., Reimann, K., Elsaesser, T. & Woerner, M. Ultrafast terahertz response of multilayer graphene in the nonperturbative regime. Phys. Rev. B 89, 041408 (2014). 10.1103/physrevb.89.041408
[29]
Two-dimensional gas of massless Dirac fermions in graphene

K. S. Novoselov, A. K. Geim, S. V. Morozov et al.

Nature 2005 10.1038/nature04233
[30]
The rise of graphene

A. K. Geim, K. S. Novoselov

Nature Materials 2007 10.1038/nmat1849
[31]
Hendry, E., Hale, P. J., Moger, J., Savchenko, A. K. & Mikhailov, S. A. Coherent nonlinear optical response of graphene. Phys. Rev. Lett. 105, 097401 (2010). 10.1103/physrevlett.105.097401
[32]
Hwang, H. Y. et al. Nonlinear THz conductivity dynamics in p-type CVD-grown graphene. J. Phys. Chem. B 117, 15819–15824 (2013). 10.1021/jp407548a
[33]
Paul, M. J. et al. High-field terahertz response of graphene. New J. Phys. 15, 085019 (2013). 10.1088/1367-2630/15/8/085019
[34]
Dragoman, M. et al. Millimeter-wave generation via frequency multiplication in graphene. App. Phys. Lett. 97, 093101 (2010). 10.1063/1.3483872
[35]
Liang, T. et al. Ultrahigh mobility and giant magnetoresistance in the Dirac semimetal Cd3As2 . Nat. Mater. 14, 280–284 (2015). 10.1038/nmat4143
[36]
Liu, Z. K. et al. Discovery of a three-dimensional topological dirac semimetal, Na3Bi. Science 343, 864–867 (2014). 10.1126/science.1245085
[37]
Moore, J. E. The birth of topological insulators. Nature 464, 194–198 (2010). 10.1038/nature08916
[38]
Topological insulators in Bi2Se3, Bi2Te3 and Sb2Te3 with a single Dirac cone on the surface

Haijun Zhang, Chao-Xing Liu, Xiao-Liang Qi et al.

Nature Physics 2009 10.1038/nphys1270
[39]
Di Pietro, P. et al. Optical conductivity of bismuth-based topological insulators. Phys. Rev. B 86, 045439 (2012). 10.1103/physrevb.86.045439
[40]
Colloquium: Topological insulators

M. Z. Hasan, C. L. Kane

Reviews of Modern Physics 2010 10.1103/revmodphys.82.3045
[41]
Kitaev, A. & Laumann, C. Topological phases and quantum computation. Preprint at http://arxiv.org/abs/0904.2771 (2009).
[42]
Zhang, X., Wang, J. & Zhang, S. C. Topological insulators for high-performance terahertz to infrared applications. Phys. Rev. B 82, 245107 (2010). 10.1103/physrevb.82.245107
[43]
Pesin, D. & MacDonald, A. H. Spintronics and pseudospintronics in graphene and topological insulators. Nat. Mater. 11, 409–416 (2012). 10.1038/nmat3305
[44]
Shuvaev, A. M. et al. Giant magneto-optical Faraday effect in HgTe thin films in the terahertz spectral range. Phys. Rev. Lett. 106, 107404 (2011). 10.1103/physrevlett.106.107404
[45]
Hancock, J. N. et al. Surface state charge dynamics of a high-mobility three-dimensional topological insulator. Phys. Rev. Lett. 107, 136803 (2011). 10.1103/physrevlett.107.136803
[46]
Aguilar, R. V. et al. Terahertz response and colossal Kerr rotation from the surface states of the topological insulator Bi2Se3 . Phys. Rev. Lett. 108, 087403 (2012). 10.1103/physrevlett.108.087403
[47]
Wu, L. et al. A sudden collapse in the transport lifetime across the topological phase transition in (Bi1−xInx)2Se3 . Nat. Phys. 9, 410–414 (2013). 10.1038/nphys2647
[48]
Autore, M. et al. Plasmon-phonon interactions in topological insulator microrings. Adv. Opt. Mater. 3, 1257–1263 (2015). 10.1002/adom.201400513
[49]
Di Pietro, P. et al. Observation of Dirac plasmons in a topological insulator. Nat. Nanotechnol. 8, 556–560 (2013). 10.1038/nnano.2013.134
[50]
Autore, M. et al. Observation of magnetoplasmons in Bi2Se3 topological insulator. ACS Photon. 2, 1231–1235 (2015). 10.1021/acsphotonics.5b00036

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Published
Apr 26, 2016
Vol/Issue
7(1)
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Cite This Article
Flavio Giorgianni, Enrica Chiadroni, Andrea Rovere, et al. (2016). Strong nonlinear terahertz response induced by Dirac surface states in Bi2Se3 topological insulator. Nature Communications, 7(1). https://doi.org/10.1038/ncomms11421
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