Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Observation of charge dressing in Bi4Te3 topological insulator thin films: A terahertz and infrared spectroscopic study

Veronica Stopponi1,2, Johannes Schmidt3, Andrea Perucchi3, Gregor Mussler4, Abdur Rehman Jalil4, Alexander Grüneis5, Michele Zacchigna1, Stefano Lupi1,6, and Paola Di Pietro3

Phys. Rev. B 114, 185102 – Published 2 September, 2026

DOI: https://doi.org/10.1103/6kv9-46kx

Abstract

Bi4Te3 has been first realized as an element of the adaptive series (Bi2)m(Bi2Te3)n—deriving from stacking metallic Bi and topological insulator Bi2Te3 blocks—and studied for its promising thermoelectric properties. Recently, Bi4Te3 has also been found as a dual topological insulator hosting a complex band structure with three Dirac cones in k space. Here we report measurements of the optical conductivity of five Bi4Te3 thin films with thickness varying from 11 to 32 nm. This extensive study, based on terahertz time-domain spectroscopy and Fourier-transform infrared spectroscopy, provides a broadband optical conductivity. By employing a Kramers-Kronig constrained Drude-Lorentz model, the spectral contributions to the optical conductivity of each sample have been singled out. In contrast to an ideal topological insulator—with perfectly insulating bulk—in Bi4Te3 far-infrared and mid-infrared bands indicate the presence of localized massive carriers, which dope the bulk system, as also observed in chemically compensated single crystals of other bismuth-based topological insulators. In addition, the localized bulk charges strongly renormalize the electronic mass. The charge dressing enhances as the thickness increases, indicating a trivial metallic behavior of Bi4Te3 thin films. This study elucidates the inner relationship between the optical properties of a dual topological insulator like Bi4Te3 and its complex band structure, since the detection of the topological massless carriers by optical measurements is prevented by the occurrence of novel and unusual conductive properties.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (30)

  1. M. Z. Hasan and C. L. Kane, Colloquium: Topological insulators, Rev. Mod. Phys. 82, 3045 (2010).
  2. S. Manzeli, D. Ovchinnikov, D. Pasquier, O. V. Yazyev, and A. Kis, 2D transition metal dichalcogenides, Nat. Rev. Mater. 2, 17033 (2017).
  3. F. Bonaccorso, Z. Sun, T. Hasan, and A. C. Ferrari, Graphene photonics and optoelectronics, Nat. Photonics 4, 611 (2010).
  4. J. S. Ponraj, Z. Q. Xu, S. C. Dhanabalan, H. Mu, Y. Wang, J. Yuan, P. Li, S. Thakur, M. Ashrafi, K. Mccoubrey, and Y. Zhang, Photonics and optoelectronics of two-dimensional materials beyond graphene, Nanotechnology 27, 462001 (2016).
  5. 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, 630 (2011).
  6. P. Di Pietro, M. Ortolani, O. Limaj, A. Di Gaspare, V. Giliberti, F. Giorgianni, M. Brahlek, N. Bansal, N. Koirala, S. Oh, P. Calvani, and S. Lupi, Observation of Dirac plasmons in a topological insulator, Nat. Nanotechnol. 8, 556 (2013).
  7. M. Autore, P. Di Pietro, A. Di Gaspare, F. D'Apuzzo, F. Giorgianni, M. Brahlek, N. Koirala, S. Oh, and S. Lupi, Terahertz plasmonic excitations in Bi2Se3 topological insulator, J. Phys. Condens. Matter 29, 183002 (2017).
  8. P. Di Pietro, N. Adhlakha, F. Piccirilli, A. Di Gaspare, J. Moon, S. Oh, S. Di Mitri, S. Spampinati, A. Perucchi, and S. Lupi, Terahertz tuning of Dirac plasmons in Bi2Se3 topological insulator, Phys. Rev. Lett. 124, 226403 (2020).
  9. X. Li, H. Lu, R. Li, Z. Wan, X. Wang, S. Macis, S. Lupi, M. Gu, H. Wang, and Z. Yue, Topological insulator materials for optics: Research progress and prospects, Appl. Phys. Rev. 13, 011301 (2026).
  10. R. V. Aguilar, A. V. Stier, W. Liu, L. S. Bilbro, D. K. George, N. Bansal, L. Wu, J. Cerne, A. G. Markelz, S. Oh, and N. P. Armitage, Terahertz response and colossal Kerr rotation from the surface states of the topological insulator Bi2Se3, Phys. Rev. Lett. 108, 087403 (2012).
  11. P. Di Pietro, F. M. Vitucci, D. Nicoletti, L. Baldassarre, P. Calvani, R. Cava, Y. S. Hor, U. Schade, and S. Lupi, Optical conductivity of bismuth-based topological insulators, Phys. Rev. B 86, 045439 (2012).
  12. A. Li Bassi, A. Bailini, C. S. Casari, F. Donati, A. Mantegazza, M. Passoni, V. Russo, and C. E. Bottani, Thermoelectric properties of Bi–Te films with controlled structure and morphology, J. Appl. Phys. 105, 124307 (2009).
  13. T. Chagas, O. A. Ashour, G. A. S. Ribeiro, W. S. Silva, Z. Li, S. G. Louie, R. Magalhães-Paniago, and Y. Petroff, Multiple strong topological gaps and hexagonal warping in Bi4Te3, Phys. Rev. B 105, L081409 (2022).
  14. J. W. G. Bos, H. W. Zandbergen, M. H. Lee, N. P. Ong, and R. J. Cava, Structures and thermoelectric properties of the infinitely adaptive series (Bi2)m(Bi2Te3)n, Phys. Rev. B 75, 195203 (2007).
  15. R. P. Pandeya, K. P. Shchukin, Y. Falke, G. Mussler, A. R. Jalil, N. Atodiresei, E. H. Hasdeo, A. Fedorov, B. V. Senkovskiy, D. Jansen, G. Di Santo, L. Petaccia, and A. Grüneis, Molecular order induced charge transfer in a C60-topological insulator moiré heterostructure, Nano Lett. 25, 1220 (2025).
  16. P. Di Pietro, N. Adhlakha, F. Piccirilli, L. Capasso, C. Svetina, S. Di Mitri, M. Veronese, F. Giorgianni, S. Lupi, and A. Perucchi, TeraFERMI: A superradiant beamline for THz nonlinear studies at the FERMI free electron laser facility, Synchrotron Radiat. News 30, 36 (2017).
  17. R. Kumar, F. Piccirilli, P. Di Pietro, J. Schmidt, G. Birarda, L. Vaccari, A. Perucchi, and P. K. Datta, Broadband terahertz signatures and vibrations of Phe–Phe peptide and its fibrils, Analyst 150, 2545 (2025).
  18. S. Lupi, A. Nucara, A. Perucchi, P. Calvani, M. Ortolani, L. Quaroni, and M. Kiskinova, Performance of SISSI, the infrared beamline of the ELETTRA storage ring, J. Opt. Soc. Am. B 24, 959 (2007).
  19. A. B. Kuzmenko, Kramers–Kronig constrained variational analysis of optical spectra, Rev. Sci. Instrum. 76, 083108 (2005).
  20. P. Di Pietro, J. Hoffman, A. Bhattacharya, S. Lupi, and A. Perucchi, Spectral weight redistribution in (LaNiO3)n/(LaMnO3)2 superlattices from optical spectroscopy, Phys. Rev. Lett. 114, 156801 (2015).
  21. T. Knispel, W. Jolie, N. Borgwardt, J. Lux, Z. Wang, Y. Ando, A. Rosch, T. Michely, and M. Grüninger, Charge puddles in the bulk and on the surface of the topological insulator BiSbTeSe2 studied by scanning tunneling microscopy and optical spectroscopy, Phys. Rev. B 96, 195135 (2017).
  22. R. Tediosi, N. P. Armitage, E. Giannini, D. van der Marel, Charge carrier interaction with a purely electronic collective mode: Plasmarons and the infrared response of elemental bismuth, Phys. Rev. Lett. 99, 016406 (2007).
  23. A. Dubroka, O. Caha, M. Hronček, P. Friš, M. Orlita, V. Holý, H. Steiner, G. Bauer, G. Springholz, and J. Humlíček, Interband absorption edge in the topological insulators Bi2(Te1−xSex)3, Phys. Rev. B 96, 235202 (2017).
  24. D. Nabok, M. Tas, S. Kusaka, E. Durgun, C. Friedrich, G. Bihlmayer, S. Blügel, T. Hirahara, and I. Aguilera, Bulk and surface electronic structure of Bi4Te3 from GW calculations and photoemission experiments, Phys. Rev. Mater. 6, 034204 (2022).
  25. Y. L. Chen, J. G. Analytis, J.-H. Chu, Z. K. Liu, S.-K. Mo, X. L. Qi, H. J. Zhang, D. H. Lu, X. Dai, Z. Fang, and S. C Zhang, et al., Experimental realization of a three-dimensional topological insulator, Bi2Te3, Science 325, 178 (2009).
  26. M. Dressel and G. Grüner, Electrodynamics of Solids: Optical Properties of Electrons in Matter (Cambridge University, New York, 2002).
  27. W. Richter and C. R. Becker, A Raman and far-infrared investigation of phonons in the rhombohedral V2–VI3 compounds Bi2Te3, Bi2Se3, Sb2Te3 and Bi2(Te1−xSex)3(0<x<1), (Bi1−ySby)2Te3(0<y<1), Phys. Status Solidi (B) 84, 619 (1977).
  28. P. Di Pietro, M. Golalikhani, K. Wijesekara, S. K. Chaluvadi, P. Orgiani, X. Xi, S. Lupi, and A. Perucchi, Spectroscopic evidence of a dimensionality-induced metal-to-insulator transition in the Ruddlesden–Popper Lan+1NinO3n+1 series, ACS Appl. Mater. Interfaces 13, 6813 (2021).
  29. D. N. Basov, A. M. Bratkovsky, P. F. Henning, B. Zink, F. Hellman, Y. J. Wang, C. C. Homes, and M. Strongin, Infrared probe of metal-insulator transition in Si1−xGdx and Si1−xYx amorphous alloys in magnetic field, Europhys. Lett. 57, 240 (2002).
  30. Y. S. Hor, J. G. Checkelsky, D. Qu, N. P. Ong, and R. J. Cava, Superconductivity and non-metallicity induced by doping the topological insulators Bi2Se3 and Bi2Te3, J. Phys. Chem. Solids 72, 572 (2011).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation