Symmetry of the carbon nanotube modes and their origin from the phonon branches of graphene

被引：10

作者：

Avramenko, M. V. ^{[1
]}

Rochal, S. B. ^{[1
]}

Yuzyuk, Yu. I. ^{[1
]}

机构：

[1] So Fed Univ, Fac Phys, Dept Nanotechnol, Rostov Na Donu 344090, Russia

来源：

PHYSICAL REVIEW B | 2013年 / 87卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

RAMAN-SPECTROSCOPY; ELECTRONIC-PROPERTIES; MOS2;

D O I：

10.1103/PhysRevB.87.035407

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A group-theory method to relate the spectra of tubular and parent planar structures is elaborated. The spectra correlation is obtained using a virtual intermediate planar periodic structure, which has a local symmetry coinciding with that of the tube surface. The method is applied to deduce the zone-center phonon modes of carbon nanotubes from the dispersion branches of the graphene monolayer. The results obtained open an additional way for experimental indexing of the carbon nanotubes by means of Raman spectroscopy, and the origin of the Raman-active modes in the achiral nanotubes is determined. We demonstrate that the number of modes in the G band and the relation between their frequencies are governed by the nanotube type. The proposed theory can be easily explored to understand the phonon and electron spectra of many other tubular structures (boron nitride, transition metal dichalcogenides) which have emerged in the past decade. DOI: 10.1103/PhysRevB.87.035407

引用

页数：8

共 26 条

[11] Fateley W.G., 1972, Infrared and Raman Selection Rules for Molecular and Lattice Vibrations
[12] Raman spectrum of graphene and graphene layers
Ferrari, A. C.
Meyer, J. C.
Scardaci, V.
Casiraghi, C.
Lazzeri, M.
Mauri, F.
Piscanec, S.
Jiang, D.
Novoselov, K. S.
Roth, S.
Geim, A. K.
[J]. PHYSICAL REVIEW LETTERS, 2006, 97 (18)
[13] Graphene: Status and Prospects
Geim, A. K.
[J]. SCIENCE, 2009, 324 (5934) : 1530 - 1534
[14] Kovalev O.V., 1993, REPRESENTATIONS CRYS
[15] Optical spectroscopy of graphene: From the far infrared to the ultraviolet
Mak, Kin Fai
Ju, Long
Wang, Feng
Heinz, Tony F.
[J]. SOLID STATE COMMUNICATIONS, 2012, 152 (15) : 1341 - 1349
[16] Raman spectroscopy in graphene
Malard, L. M.
Pimenta, M. A.
Dresselhaus, G.
Dresselhaus, M. S.
[J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2009, 473 (5-6): : 51 - 87
[17] Raman modes of index-identified freestanding single-walled carbon nanotubes -: art. no. 217401
Meyer, JC
Paillet, M
Michel, T
Moréac, A
Neumann, A
Duesberg, GS
Roth, S
Sauvajol, JL
[J]. PHYSICAL REVIEW LETTERS, 2005, 95 (21)
[18] Electric field effect in atomically thin carbon films
Novoselov, KS
Geim, AK
Morozov, SV
Jiang, D
Zhang, Y
Dubonos, SV
Grigorieva, IV
Firsov, AA
[J]. SCIENCE, 2004, 306 (5696) : 666 - 669
[19] Vanishing of the breit-wigner-fano component in individual single-wall carbon nanotubes
Paillet, M
Poncharal, P
Zahab, A
Sauvajol, JL
Meyer, JC
Roth, S
[J]. PHYSICAL REVIEW LETTERS, 2005, 94 (23)
[20] Popov V. N., 2005, PHYS REV B, V67

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