Double resonant Raman spectra in graphene and graphite: A two-dimensional explanation of the Raman amplitude

被引:64
作者
Narula, Rohit [1 ]
Reich, Stephanie
机构
[1] MIT, Dept Mat Sci & Engn, Cambridge, MA 02139 USA
来源
PHYSICAL REVIEW B | 2008年 / 78卷 / 16期
关键词
D O I
10.1103/PhysRevB.78.165422
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We report calculated Raman spectra of the D and 2D modes in graphene and graphite. Evaluating the Raman amplitude in the two-dimensional Brillouin zone, we reproduce the splitting of the modes when going from single-layer graphene to graphite. The energy dependence of the D mode in graphene is 24%-32% smaller than in graphite. We discuss the intensity of the D line and show that the double resonant phonons originate from the low-symmetry parts of the Brillouin zone.
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页数:6
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共 16 条
[1]   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)
[2]   Spatially resolved raman spectroscopy of single- and few-layer graphene [J].
Graf, D. ;
Molitor, F. ;
Ensslin, K. ;
Stampfer, C. ;
Jungen, A. ;
Hierold, C. ;
Wirtz, L. .
NANO LETTERS, 2007, 7 (02) :238-242
[3]   Double resonant Raman phenomena enhanced by van Hove singularities in single-wall carbon nanotubes -: art. no. 165433 [J].
Kürti, J ;
Zólyomi, V ;
Grüneis, A ;
Kuzmany, H .
PHYSICAL REVIEW B, 2002, 65 (16) :1654331-1654339
[4]   Impact of the electron-electron correlation on phonon dispersion: Failure of LDA and GGA DFT functionals in graphene and graphite [J].
Lazzeri, Michele ;
Attaccalite, Claudio ;
Wirtz, Ludger ;
Mauri, Francesco .
PHYSICAL REVIEW B, 2008, 78 (08)
[5]  
MARTIN RM, 1975, TOP APPL PHYS, V8, P79, DOI DOI 10.1007/978-3-540-37568-5_3
[6]   Origin of dispersive effects of the Raman D band in carbon materials [J].
Matthews, MJ ;
Pimenta, MA ;
Dresselhaus, G ;
Dresselhaus, MS ;
Endo, M .
PHYSICAL REVIEW B, 1999, 59 (10) :R6585-R6588
[7]   Double-resonant Raman scattering in graphite: Interference effects, selection rules, and phonon dispersion [J].
Maultzsch, J ;
Reich, S ;
Thomsen, C .
PHYSICAL REVIEW B, 2004, 70 (15) :155403-1
[8]   Phonon dispersion in graphite -: art. no. 075501 [J].
Maultzsch, J ;
Reich, S ;
Thomsen, C ;
Requardt, H ;
Ordejón, P .
PHYSICAL REVIEW LETTERS, 2004, 92 (07)
[9]   From graphene to graphite:: Electronic structure around the K point [J].
Partoens, B. ;
Peeters, F. M. .
PHYSICAL REVIEW B, 2006, 74 (07)
[10]   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