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Interrelation of Elasticity and Thermal Bath in Nanotube Cantilevers

S. Tepsic, G. Gruber, C. B. Møller, C. Magén, P. Belardinelli, E. R. Hernández, F. Alijani, P. Verlot, and A. Bachtold
Phys. Rev. Lett. 126, 175502 – Published 26 April 2021
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Abstract

We report the first study on the thermal behavior of the stiffness of individual carbon nanotubes, which is achieved by measuring the resonance frequency of their fundamental mechanical bending modes. We observe a reduction of the Young’s modulus over a large temperature range with a slope (173±65)ppm/K in its relative shift. These findings are reproduced by two different theoretical models based on the thermal dynamics of the lattice. These results reveal how the measured fundamental bending modes depend on the phonons in the nanotube via the Young’s modulus. An alternative description based on the coupling between the measured mechanical modes and the phonon thermal bath in the Akhiezer limit is discussed.

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  • Received 14 January 2021
  • Accepted 16 March 2021

DOI:https://doi.org/10.1103/PhysRevLett.126.175502

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

S. Tepsic1, G. Gruber1, C. B. Møller1, C. Magén2,3, P. Belardinelli4, E. R. Hernández5, F. Alijani6, P. Verlot7, and A. Bachtold1

  • 1ICFO—Institut De Ciencies Fotoniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels (Barcelona), Spain
  • 2Instituto de Nanociencia y Materiales de Aragón (INMA), CSIC-Universidad de Zaragoza, 50009 Zaragoza, Spain
  • 3Laboratorio de Microscopías Avanzadas (LMA), Universidad de Zaragoza, 50018 Zaragoza, Spain
  • 4DICEA, Polytechnic University of Marche, 60131 Ancona, Italy
  • 5Instituto de Ciencia de Materiales de Madrid (ICMM-CSIC), 28049 Madrid, Spain
  • 6Department of Precision and Microsystems Engineering, 3ME, Mekelweg 2, (2628 CD) Delft, The Netherlands
  • 7School of Physics and Astronomy—The University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom

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Issue

Vol. 126, Iss. 17 — 30 April 2021

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