[en] We present a Raman study of the collective vibrations arising from the homogeneous bundling of single-walled carbon nanotubes and analyze the dependence of their vibrational coupling on the tube diameter using two systems, single-walled carbon nanotube coils and a monochiral carbon nanotube film. We report on two breathing-like modes for quasi-infinite bundles, compared to the single radial breathing mode characteristic for isolated tubes. The exciton-phonon coupling in these modes is probed with resonant Raman spectroscopy, revealing the same resonance energy for both breathing-like peaks. Our experimental findings align well with previously reported theoretical studies, demonstrating a 1/d scaling for all modes, as well as confirming the relative shift of the modes dependent on intertube interaction. These vibrations provide insight into the role of intertube lattice dynamics in two-dimensional THz-range phononic crystals.
Disciplines :
Physics
Author, co-author :
Berrezueta-Palacios, Charlotte ; Department of Physics, Freie Universität Berlin, Berlin, Germany
Nakar, Dekel ; Department of Molecular Chemistry and Materials Science, Weizmann Institute of Science, Rehovot, Israel
Wroblewska, Anna ; Faculty of Physics, Warsaw University of Technology, Warsaw, Poland
Garrity, Oisín ; Department of Physics, Freie Universität Berlin, Berlin, Germany
Li, Han; Institute of Nanotechnology, Karlsruhe Institute of Technology, Karlsruhe, Germany ; Department of Mechanical and Materials Engineering, University of Turku, Turku, Finland
Shadmi, Nitzan; Department of Molecular Chemistry and Materials Science, Weizmann Institute of Science, Rehovot, Israel
Flavel, Benjamin S.; Institute of Nanotechnology, Karlsruhe Institute of Technology, Karlsruhe, Germany
Joselevich, Ernesto; Department of Molecular Chemistry and Materials Science, Weizmann Institute of Science, Rehovot, Israel
Reich, Stephanie; Department of Physics, Freie Universität Berlin, Berlin, Germany
GORDEEV, Georgy ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS) ; Department of Physics, Freie Universität Berlin, Berlin, Germany
External co-authors :
yes
Language :
English
Title :
Collective radial breathing modes in homogeneous nanotube bundles
Kushwaha, M.S., Halevi, P., Dobrzynski, L., Djafari-Rouhani, B., Acoustic band structure of periodic elastic composites. Phys. Rev. Lett. 71 (1993), 2022–2025.
Veselago, V.G., The electrodynamics of substances with simultaneously negative values of ϵ and μ. Sov. Phys. Uspekhi 10 (1968), 509–514.
Zhang, X., Liu, Z., Negative refraction of acoustic waves in two-dimensional phononic crystals. Appl. Phys. Lett. 85:2 (2004), 341–343.
Khelif, A., Aoubiza, B., Mohammadi, S., Adibi, A., Laude, V., Complete band gaps in two-dimensional phononic crystal slabs. Phys. Rev. E 74:4 (2006), 1–5.
Prodan, E., Prodan, C., Topological phonon modes and their role in dynamic instability of microtubules. Phys. Rev. Lett., 103(24), 2009, 248101.
Mohammadi, S., Eftekhar, A.A., Khelif, A., Hunt, W.D., Adibi, A., Evidence of large high frequency complete phononic band gaps in silicon phononic crystal plates. Appl. Phys. Lett., 92, 2008, 221905.
Kirchhof, J.N., Weinel, K., Heeg, S., Deinhart, V., Kovalchuk, S., Höflich, K., Bolotin, K.I., Tunable Graphene Phononic Crystal. Nano Lett. 21:5 (2021), 2174–2182.
Paulose, J., Chen, B.G.G., Vitelli, V., Topological modes bound to dislocations in mechanical metamaterials. Nat. Phys. 11:2 (2015), 153–156.
ge Chen, B.G., Liu, B., Evans, A.A., Paulose, J., Cohen, I., Vitelli, V., Santangelo, C.D., Topological mechanics of Origami and Kirigami. Phys. Rev. Lett., 116, 2016, 135501.
Savin, A.V., Korznikova, E.A., Dmitriev, S.V., Plane vibrational modes and localized nonlinear excitations in carbon nanotube bundle. J. Sound Vib., 520(November 2021), 2022, 116627.
Popov, V., Van Doren, V., Balkanski, M., Elastic properties of crystals of single-walled carbon nanotubes. Solid State Commun. 114:7 (2000), 395–399.
Popov, V.N., Henrard, L., Evidence for the existence of two breathinglike phonon modes in infinite bundles of single-walled carbon nanotubes. Phys. Rev. B, 63, 2001, 233407.
Nakar, D., Gordeev, G., Machado, L.D., Popovitz-Biro, R., Rechav, K., Oliveira, E.F., Kusch, P., Jorio, A., Galvao, D.S., Reich, S., et al. Few-wall carbon nanotube coils. Nano Lett. 20:2 (2019), 953–962.
Wroblewska, A., Gordeev, G., Duzynska, A., Reich, S., Zdrojek, M., Doping and plasmonic Raman enhancement in hybrid single walled carbon nanotubes films with embedded gold nanoparticles. Carbon 179 (2021), 531–540.
Geblinger, N., Ismach, A., Joselevich, E., Self-organized nanotube serpentines. Nature Nanotechnol. 3:4 (2008), 195–200.
Wen, Q., Qian, W., Nie, J., Cao, A., Ning, G., Wang, Y., Hu, L., Zhang, Q., Huang, J., Wei, F., Carbon nanotubes: 100 mm long, semiconducting triple-walled carbon nan- otubes (adv. mater. 16/2010). Adv. Mater., 22, 2010.
Li, H., Gordeev, G., Garrity, O., Reich, S., Flavel, B.S., Separation of Small-Diameter Single-Walled Carbon Nanotubes in One to Three Steps with Aqueous Two-Phase Extraction. ACS Nano 13:2 (2019), 2567–2578.
Jorio, A., Souza Filho, A.G., Dresselhaus, G., Dresselhaus, M.S., Swan, A.K., Ünlü, M.S., Goldberg, B.B., Pimenta, M.A., Hafner, J.H., Lieber, C.M., Saito, R., G-Band resonant Raman study of 62 isolated single-wall carbon nanotubes. Phys. Rev. B, 65, 2002, 155412.
Fantini, C., Jorio, A., Souza, M., Strano, M.S., Dresselhaus, M.S., Pimenta, M.A., Optical transition energies for carbon nanotubes from resonant Raman spectroscopy: Environment and temperature effects. Phys. Rev. Lett., 93, 2004, 147406.
Gordeev, G., Jorio, A., Kusch, P., Vieira, B.G., Flavel, B., Krupke, R., Barros, E.B., Reich, S., Resonant anti-Stokes Raman scattering in single-walled carbon nanotubes. Phys. Rev. B, 96, 2017, 245415.
Peter, Y., Cardona, M., Fundamentals of Semiconductors: Physics and Materials Properties. 2010, Springer Science & Business Media.
Kataura, H., Kumazawa, Y., Maniwa, Y., Umezu, I., Suzuki, S., Ohtsuka, Y., Achiba, Y., Optical properties of single-wall carbon nanotubes. Synth. Met. 103:1 (1999), 2555–2558 International Conference on Science and Technology of Synthetic Metals.
Henrard, L., Popov, V.N., Rubio, A., Influence of packing on the vibrational properties of infinite and finite bundles of carbon nanotubes. Phys. Rev. B, 64(20), 2001, 205403.
Rahmani, A., Sauvajol, J.-L., Cambedouzou, J., Benoit, C., Raman-active modes in finite and infinite double-walled carbon nanotubes. Phys. Rev. B, 71, 2005, 125402.
