%0 Journal Article %T Study of collective radial breathing-like modes in double-walled carbon nanotubes: combination of continuous two-dimensional membrane theory and Raman spectroscopy %+ Southern Federal University [Rostov-on-Don] (SFEDU) %+ Laboratoire Charles Coulomb (L2C) %+ Instituto de Nanociencia de Aragón [Saragoza, España] (INA) %A Levshov, Dmitry I. %A Avramenko, Marina V. %A Than, Xuan-Tinh %A Michel, Thierry %A Arenal, Raul %A Paillet, Matthieu %A Rybkovskiy, Dmitry V. %A Osadchy, Alexander V. %A Rochal, Sergei B. %A Yuzyuk, Yuri I. %A Sauvajol, Jean-Louis %< avec comité de lecture %Z L2C:16-062 %@ 1934-2608 %J Journal of Nanophotonics %I Society of Photo-optical Instrumentation Engineers %V 10 %N 1 %P 012502 %8 2016-01 %D 2016 %R 10.1117/1.JNP.10.012502 %K individual double-walled carbon nanotubes %K radial breathing-like modes %K interlayer coupling %K Raman spectroscopy %Z Physics [physics]/Condensed Matter [cond-mat]/Materials Science [cond-mat.mtrl-sci]Journal articles %X In this paper, we present an alternative way to study theoretically low-frequency collective modes of DWNTs based on the continuous 2D membrane theory. We obtain aωRBLM (do , di) relation being an equivalent of the conventional formulas established for individual SWNTs. We compare our theoretical predictions with Raman data measured on individual index-identified suspended DWNTs. A good agreement between the experiment and the predictions of the continuous theory is found. We show that the coupling in individual DWNTs strongly depends on the interlayer distance, which is manifested in the frequency shifts of the radial breathing-like modes (RBLMs) with respect to the radial breathing modes (RBM) of the individual inner and outer tubes. In terms of characterization, the combination of Ramanspectroscopy data and the predictions of continuous membrane theory may give additional criteria for the index-identification of DWNTs. %G English %L hal-01324441 %U https://hal.science/hal-01324441 %~ CNRS %~ L2C %~ MIPS %~ UNIV-MONTPELLIER %~ UM-2015-2021