Boundary problems for Dirac electrons and edge-assisted Raman scattering in graphene

被引:64
作者
Basko, D. M. [1 ,2 ]
机构
[1] Univ Grenoble 1, Lab Phys & Modelisat Mileux Condenses, F-38042 Grenoble, France
[2] CNRS, F-38042 Grenoble, France
来源
PHYSICAL REVIEW B | 2009年 / 79卷 / 20期
关键词
carbon; nanostructured materials; Raman spectra; CRYSTALLITE SIZE; LIGHT-SCATTERING; ROUGH-SURFACE; QUANTUM DOTS; D-BAND; GRAPHITE; CARBON; SPECTROSCOPY; BACKSCATTERING; NANORIBBONS;
D O I
10.1103/PhysRevB.79.205428
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The paper reports a theoretical study of scattering of electrons by edges in graphene and its effect on Raman scattering. First, we discuss effective models for translationally invariant and rough edges. Second, we employ these models in the calculation of the edge-activated Raman D peak intensity and its dependence on the polarization of the incident/scattered light, as well as on the position of the excitation spot. Manifestations of the quasiclassical character of electron motion in Raman scattering are discussed.
引用
收藏
页数:22
相关论文
共 61 条
[41]   Symmetry of boundary conditions of the Dirac equation for electrons in carbon nanotubes [J].
McCann, E ;
Fal'ko, VI .
JOURNAL OF PHYSICS-CONDENSED MATTER, 2004, 16 (13) :2371-2379
[42]   LOCALIZATION EFFECTS IN THE SCATTERING OF LIGHT FROM A RANDOMLY ROUGH GRATING [J].
MCGURN, AR ;
MARADUDIN, AA ;
CELLI, V .
PHYSICAL REVIEW B, 1985, 31 (08) :4866-4871
[43]   Edge state in graphene ribbons: Nanometer size effect and edge shape dependence [J].
Nakada, K ;
Fujita, M ;
Dresselhaus, G ;
Dresselhaus, MS .
PHYSICAL REVIEW B, 1996, 54 (24) :17954-17961
[44]   Electric field effect in atomically thin carbon films [J].
Novoselov, KS ;
Geim, AK ;
Morozov, SV ;
Jiang, D ;
Zhang, Y ;
Dubonos, SV ;
Grigorieva, IV ;
Firsov, AA .
SCIENCE, 2004, 306 (5696) :666-669
[45]   Breakdown of the adiabatic Born-Oppenheimer approximation in graphene [J].
Pisana, Simone ;
Lazzeri, Michele ;
Casiraghi, Cinzia ;
Novoselov, Kostya S. ;
Geim, A. K. ;
Ferrari, Andrea C. ;
Mauri, Francesco .
NATURE MATERIALS, 2007, 6 (03) :198-201
[46]   Kohn anomalies and electron-phonon interactions in graphite [J].
Piscanec, S ;
Lazzeri, M ;
Mauri, F ;
Ferrari, AC ;
Robertson, J .
PHYSICAL REVIEW LETTERS, 2004, 93 (18) :185503-1
[47]   Chaotic dirac billiard in graphene quantum dots [J].
Ponomarenko, L. A. ;
Schedin, F. ;
Katsnelson, M. I. ;
Yang, R. ;
Hill, E. W. ;
Novoselov, K. S. ;
Geim, A. K. .
SCIENCE, 2008, 320 (5874) :356-358
[48]   Suppression of the orientation effects on bandgap in graphene nanoribbons in the presence of edge disorder [J].
Querlioz, D. ;
Apertet, Y. ;
Valentin, A. ;
Huet, K. ;
Bournel, A. ;
Galdin-Retailleau, S. ;
Dollfus, P. .
APPLIED PHYSICS LETTERS, 2008, 92 (04)
[49]  
Ritter KA, 2009, NAT MATER, V8, P235, DOI [10.1038/NMAT2378, 10.1038/nmat2378]
[50]   D-band Raman intensity of graphitic materials as a function of laser energy and crystallite size [J].
Sato, K. ;
Saito, R. ;
Oyama, Y. ;
Jiang, J. ;
Cancado, L. G. ;
Pimenta, M. A. ;
Jorio, A. ;
Samsonidze, Ge. G. ;
Dresselhaus, G. ;
Dresselhaus, M. S. .
CHEMICAL PHYSICS LETTERS, 2006, 427 (1-3) :117-121