Vibrational properties of graphene nanoribbons by first-principles calculations

被引:107
作者
Gillen, Roland [1 ]
Mohr, Marcel [1 ]
Thomsen, Christian [1 ]
Maultzsch, Janina [1 ]
机构
[1] Tech Univ Berlin, Inst Festkorperphys, D-10623 Berlin, Germany
来源
PHYSICAL REVIEW B | 2009年 / 80卷 / 15期
关键词
CARBON NANOTUBES; RIBBONS; EDGE;
D O I
10.1103/PhysRevB.80.155418
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We investigated the vibrational properties of graphene nanoribbons by means of first-principles calculations on the basis of density-functional theory. We confirm that the phonon modes of graphene nanoribbons with armchair- and zigzag-type edges can be interpreted as fundamental oscillations and their overtones. These show a characteristic dependence on the nanoribbon width. Furthermore, we demonstrate that a mapping of the calculated Gamma-point phonon frequencies of nanoribbons onto the phonon dispersion of graphene corresponds to an "unfolding" of nanoribbons' Brillouin zone onto that of graphene. We consider the influence of spin states with respect to the phonon spectra of zigzag nanoribbons and provide comparisons of our results with past studies.
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页数:9
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共 36 条
[1]   Electronic structure and stability of semiconducting graphene nanoribbons [J].
Barone, Veronica ;
Hod, Oded ;
Scuseria, Gustavo E. .
NANO LETTERS, 2006, 6 (12) :2748-2754
[2]   Electronic confinement and coherence in patterned epitaxial graphene [J].
Berger, Claire ;
Song, Zhimin ;
Li, Xuebin ;
Wu, Xiaosong ;
Brown, Nate ;
Naud, Cecile ;
Mayou, Didier ;
Li, Tianbo ;
Hass, Joanna ;
Marchenkov, Atexei N. ;
Conrad, Edward H. ;
First, Phillip N. ;
de Heer, Wait A. .
SCIENCE, 2006, 312 (5777) :1191-1196
[3]   Ex-MWNTs: Graphene Sheets and Ribbons Produced by Lithium Intercalation and Exfoliation of Carbon Nanotubes [J].
Cano-Marquez, Abraham G. ;
Rodriguez-Macias, Fernando J. ;
Campos-Delgado, Jessica ;
Espinosa-Gonzalez, Claudia G. ;
Tristan-Lopez, Ferdinando ;
Ramirez-Gonzalez, Daniel ;
Cullen, David A. ;
Smith, David J. ;
Terrones, Mauricio ;
Vega-Cantu, Yadira I. .
NANO LETTERS, 2009, 9 (04) :1527-1533
[4]   Phonon softening in metallic nanotubes by a Peierls-like mechanism [J].
Dubay, O ;
Kresse, G ;
Kuzmany, H .
PHYSICAL REVIEW LETTERS, 2002, 88 (23) :4
[5]   Peculiar width dependence of the electronic properties of carbon nanoribbons [J].
Ezawa, M .
PHYSICAL REVIEW B, 2006, 73 (04)
[6]   Raman spectrum of graphene and graphene layers [J].
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. .
PHYSICAL REVIEW LETTERS, 2006, 97 (18)
[7]   Peculiar localized state at zigzag graphite edge [J].
Fujita, M ;
Wakabayashi, K ;
Nakada, K ;
Kusakabe, K .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1996, 65 (07) :1920-1923
[8]   Energy band-gap engineering of graphene nanoribbons [J].
Han, Melinda Y. ;
Oezyilmaz, Barbaros ;
Zhang, Yuanbo ;
Kim, Philip .
PHYSICAL REVIEW LETTERS, 2007, 98 (20)
[9]   Narrow graphene nanoribbons from carbon nanotubes [J].
Jiao, Liying ;
Zhang, Li ;
Wang, Xinran ;
Diankov, Georgi ;
Dai, Hongjie .
NATURE, 2009, 458 (7240) :877-880
[10]   Longitudinal unzipping of carbon nanotubes to form graphene nanoribbons [J].
Kosynkin, Dmitry V. ;
Higginbotham, Amanda L. ;
Sinitskii, Alexander ;
Lomeda, Jay R. ;
Dimiev, Ayrat ;
Price, B. Katherine ;
Tour, James M. .
NATURE, 2009, 458 (7240) :872-U5