Abstract
Plasmons in carbon nanotubes (CNTs) have attracted significant attention due to their strong spatial confinement and high-quality factors. However, constrained by CNTs’ intrinsic electronic characteristics, modulation of their plasmon dispersion relations remains a significant challenge. Here, we report frequency-dependent topological polaritons arising from the coupling between hyperbolic plasmons and phonon polaritons in CNT-array/hexagonal boron nitride (hBN) heterostructures. In particular, we achieved a controllable topological transition of the polariton wavefront from hyperbolic to elliptical. Moreover, we demonstrated a whispering-gallery polaritonic mode confined in closed-loop CNT array on hBN. Our findings provide fundamental insights into optical topological transitions in low-dimensional heterostructures, and a promising route to manipulate light propagation and energy transfer at the nanoscale.
Similar content being viewed by others
Data availability
Relevant data supporting the key findings of this study are available within the article and the Supplementary Information file. All raw data generated during the current study are available from the corresponding authors upon request.
References
Basov, D. N., Fogler, M. M. & García de Abajo, F. J. Polaritons in van der Waals materials. Science 354, aag1992 (2016).
Gramotnev, D. K. & Bozhevolnyi, S. I. Plasmonics beyond the diffraction limit. Nat. Photonics 4, 83–91 (2010).
Low, T. et al. Polaritons in layered two-dimensional materials. Nat. Mater. 16, 182–194 (2017).
Dai, S. et al. Tunable phonon polaritons in atomically thin van der Waals crystals of boron nitride. Science 343, 1125–1129 (2014).
Alfaro-Mozaz, F. J. et al. Nanoimaging of resonating hyperbolic polaritons in linear boron nitride antennas. Nat. Commun. 8, 15624 (2017).
Caldwell, J. D. et al. Sub-diffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride. Nat. Commun. 5, 5221 (2014).
Duan, J. et al. Launching phonon polaritons by natural boron nitride wrinkles with modifiable dispersion by dielectric environments. Adv. Mater. 29, 1702494 (2017).
Jacob, Z. Hyperbolic phonon–polaritons. Nat. Mater. 13, 1081–1083 (2014).
Li, P. et al. Infrared hyperbolic metasurface based on nanostructured van der Waals materials. Science 359, 892–896 (2018).
Ma, W. et al. In-plane anisotropic and ultra-low-loss polaritons in a natural van der Waals crystal. Nature 562, 557–562 (2018).
Dai, Z. et al. Edge-oriented and steerable hyperbolic polaritons in anisotropic van der Waals nanocavities. Nat. Commun. 11, 6086 (2020).
Qu, Y. et al. Tunable planar focusing based on hyperbolic phonon polaritons in α-MoO3. Adv. Mater. 34, 2105590 (2022).
Martín-Sánchez, J. et al. Focusing of in-plane hyperbolic polaritons in van der Waals crystals with tailored infrared nanoantennas. Sci. Adv. 7, eabj0127 (2021).
Zheng, Z. et al. A mid-infrared biaxial hyperbolic van der Waals crystal. Sci. Adv. 5, eaav8690 (2019).
Duan, J. et al. Multiple and spectrally robust photonic magic angles in reconfigurable α-MoO3 trilayers. Nat. Mater. 22, 867–872 (2023).
Hu, H. et al. Gate-tunable negative refraction of mid-infrared polaritons. Science 379, 558–561 (2023).
Terán-García, E. et al. Real-space visualization of canalized ray polaritons in a single Van der Waals thin slab. Nano Lett. 25, 2203–2209 (2025).
Wang, K. et al. Observation of canalized phonon polaritons in a single α-MoO3 flake. Optica 12, 343–349 (2025).
Álvarez-Cuervo, J. et al. Unidirectional ray polaritons in twisted asymmetric stacks. Nat. Commun. 15, 9042 (2024).
Duan, J. et al. Twisted nano-optics: manipulating light at the nanoscale with twisted phonon polaritonic slabs. Nano Lett. 20, 5323–5329 (2020).
Zheng, Z. et al. Phonon polaritons in twisted double-layers of hyperbolic van der Waals crystals. Nano Lett. 20, 5301–5308 (2020).
Chen, M. et al. Configurable phonon polaritons in twisted α-MoO3. Nat. Mater. 19, 1307–1311 (2020).
Hu, G. et al. Topological polaritons and photonic magic angles in twisted α-MoO3 bilayers. Nature 582, 209–213 (2020).
Hu, H. et al. Doping-driven topological polaritons in graphene/α-MoO3 heterostructures. Nat. Nanotechnol. 17, 940–946 (2022).
Ruta, F. L. et al. Surface plasmons induce topological transition in graphene/α-MoO3 heterostructures. Nat. Commun. 13, 3719 (2022).
Capote-Robayna, N. et al. Twist-tunable in-plane anisotropic polaritonic crystals. Nanophotonics 13, 4761–4770 (2024).
Shao, Y. et al. Infrared plasmons propagate through a hyperbolic nodal metal. Sci. Adv. 8, eadd6169 (2022).
Ruta, F. L. et al. Good plasmons in a bad metal. Science 387, 786–791 (2025).
Shi, Z. et al. Observation of a Luttinger-liquid plasmon in metallic single-walled carbon nanotubes. Nat. Photonics 9, 515–519 (2015).
Wang, S. et al. Nonlinear Luttinger liquid plasmons in semiconducting single-walled carbon nanotubes. Nat. Mater. 19, 986–991 (2020).
Wang, S. et al. Metallic carbon nanotube nanocavities as ultracompact and low-loss Fabry–Perot plasmonic resonators. Nano Lett. 20, 2695–2702 (2020).
Luo, X. et al. Reflection phase shift of one-dimensional plasmon polaritons in carbon nanotubes. Phys. Rev. B 101, 041407 (2020).
Wang, S. et al. Logarithm diameter scaling and carrier density independence of one-dimensional Luttinger Liquid plasmon. Nano Lett. 19, 2360–2365 (2019).
Wang, S. et al. Gate-tunable plasmons in mixed-dimensional van der Waals heterostructures. Nat. Commun. 12, 5039 (2021).
Xie, Y. et al. Field-effect plasmonic transistors based on metallic–semiconducting carbon nanotube junctions. Nano Lett. 25, 5334–5341 (2025).
Zhang, Z. et al. Homochiral carbon nanotube van der Waals crystals. Science 387, 1310–1316 (2025).
Ma, S. et al. Hyperbolic plasmons in coupled Luttinger Liquids of homochiral carbon nanotube arrays. Chin. Phys. Lett. 42, 090710 (2025).
Nefedov, I. S. & Tretyakov, S. A. Effective medium model for two-dimensional periodic arrays of carbon nanotubes. Photonics Nanostruct. Fundam. Appl. 9, 374–380 (2011).
Franck, P., Baillargeat, D. & Tay, B. K. Mesoscopic model for the electromagnetic properties of arrays of nanotubes and nanowires: a bulk equivalent approach. IEEE Trans. Nanotechnol. 11, 964–974 (2012).
Nefedov, I. S. Electromagnetic waves propagating in a periodic array of parallel metallic carbon nanotubes. Phys. Rev. B 82, 155423 (2010).
Lou, S. et al. Tunable growth of one-dimensional graphitic materials: graphene nanoribbons, carbon nanotubes, and nanoribbon/nanotube junctions. Sci. Rep. 13, 4328 (2023).
Lyu, B. et al. Catalytic growth of ultralong graphene nanoribbons on insulating substrates. Adv. Mater. 34, 2200956 (2022).
Li, H. et al. Electrode-free anodic oxidation nanolithography of low-dimensional materials. Nano Lett. 18, 8011–8015 (2018).
Giles, A. J. et al. Ultralow-loss polaritons in isotopically pure boron nitride. Nat. Mater. 17, 134–139 (2018).
Dai, S. et al. Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial. Nat. Nanotechnol. 10, 682–686 (2015).
Guo, X. et al. Hyperbolic whispering-gallery phonon polaritons in boron nitride nanotubes. Nat. Nanotechnol. 18, 529–534 (2023).
Herzig Sheinfux, H. et al. High-quality nanocavities through multimodal confinement of hyperbolic polaritons in hexagonal boron nitride. Nat. Mater. 23, 499–505 (2024).
Kim, B. S. Y. et al. Ambipolar charge-transfer graphene plasmonic cavities. Nat. Mater. 22, 838–843 (2023).
Slepyan, G. Y., Maksimenko, S. A., Lakhtakia, A., Yevtushenko, O. & Gusakov, A. V. Electrodynamics of carbon nanotubes: dynamic conductivity, impedance boundary conditions, and surface wave propagation. Phys. Rev. B 60, 17136–17149 (1999).
Passler, N. C. & Paarmann, A. Generalized 4 × 4 matrix formalism for light propagation in anisotropic stratified media: study of surface phonon polaritons in polar dielectric heterostructures. J. Opt. Soc. Am. B 34, 2128–2139 (2017).
Acknowledgements
This work is supported by the National Key R&D Program of China (Nos. 2021YFA1202902 and 2022YFA1402702), the National Natural Science Foundation of China (Nos. T2525032, 12374292, 52472155, and 52522208), and Fundamental and Interdisciplinary Disciplines Breakthrough Plan of the Ministry of Education of China (JYB2025XDXM411). K.W. and T.T. acknowledge support from the JSPS KAKENHI (Grants 20H00354 and 23H02052) and the World Premier International Research Center Initiative (WPI), MEXT, Japan.
Author information
Authors and Affiliations
Contributions
Z.S. and Y.X. conceived the project. Z.S., X.G., and Q.D. supervised the project. Y.X. and Z.Z. grew the CNT array samples. Y.X. performed the s-SNOM measurements and carried out numerical simulations. K.F. and X.G. developed the theoretical model covering the dispersion relations and the iso-frequency contours. K.W. and T.T. grew the hBN crystals. Y.X., K.F., Z.Z., S.M., Z.W., Y.C., C.Z., L.W., Q.L., X.G., Q.D., and Z.S. discussed the data. Y.X., X.G., and Z.S. wrote the manuscript with input from all authors.
Corresponding authors
Ethics declarations
Competing interests
The authors declare no competing interests.
Peer review
Peer review information
Nature Communications thanks the anonymous reviewers for their contribution to the peer review of this work. A peer review file is available.
Additional information
Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Supplementary information
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
About this article
Cite this article
Xie, Y., Feng, K., Zhang, Z. et al. Frequency-dependent topological polaritons in carbon nanotube array/hBN heterostructures. Nat Commun (2026). https://doi.org/10.1038/s41467-026-71100-z
Received:
Accepted:
Published:
DOI: https://doi.org/10.1038/s41467-026-71100-z


