Theory of Graphene Raman Scattering

ACS Nano

Volumn 10, Issue 2, 2016, Pages 2803-2818

  Heller, Eric J ^a,b   Yang, Yuan ^b   Kocia, Lucas ^b   Chen, Wei ^a   Fang, Shiang ^a   Borunda, Mario ^c   Kaxiras, Efthimios ^a  

^a HARVARD UNIVERSITY   (United States)

^b HARVARD UNIVERSITY   (United States)

^c OKLAHOMA STATE UNIVERSITY   (United States)

Author keywords

quantum chemistry; Raman spectroscopy; resonance theory; theoretical chemistry; UV vis spectroscopy

Indexed keywords

DEFECT DENSITY; QUANTUM CHEMISTRY; QUANTUM THEORY; RAMAN SCATTERING; RAMAN SPECTROSCOPY; ULTRAVIOLET VISIBLE SPECTROSCOPY;

BAND INTENSITY; DIRAC THEORY; LASER FREQUENCY; OVERTONE BANDS; QUANTUM DYNAMICS; RESONANCE THEORY; THEORETICAL CHEMISTRY; UV-VIS SPECTROSCOPY;

GRAPHENE;

EID: 84960193517     PISSN: 19360851     EISSN: 1936086X     Source Type: Journal    
DOI: 10.1021/acsnano.5b07676     Document Type: Article

References (34)

1. Thomsen, C.; Reich, S. Double Resonant Raman Scattering in Graphite Phys. Rev. Lett. 2000, 85, 5214 10.1103/PhysRevLett.85.5214
2. Duque, J. G.; Chen, H.; Swan, A. K.; Shreve, A. P.; Kilina, S.; Tretiak, S.; Tu, X.; Zheng, M.; Doorn, S. K. Violation of the Condon Approximation in Semiconducting Carbon Nanotubes ACS Nano 2011, 5, 5233-5241 10.1021/nn201430z
3. Heller, E. J.; Yang, Y.; Kocia, L. Raman Scattering in Carbon Nanosystems: Solving Polyacetylene ACS Cent. Sci. 2015, 1, 40-49 10.1021/acscentsci.5b00021
4. Pisana, S.; Lazzeri, M.; Casiraghi, C.; Novoselov, K. S.; Geim, A. K.; Ferrari, A. C.; Mauri, F. Breakdown of the Adiabatic Born-Oppenheimer Approximation in Graphene Nat. Mater. 2007, 6, 198-201 10.1038/nmat1846
5. Ferrari, A. C. Raman Spectroscopy of Graphene and Graphite: Disorder, Electron-phonon Coupling, Doping and Nonadiabatic Effects Solid State Commun. 2007, 143, 47-57 10.1016/j.ssc.2007.03.052
6. Kramers, H. A.; Heisenberg, W. Über die Streuung von Strahlung durch Atome Z. Phys. 1925, 31, 681-708 10.1007/BF02980624
7. Lee, S.-Y. Placzek-type Polarizability Tensors for Raman and Resonance Raman Scattering J. Chem. Phys. 1983, 78, 723-734 10.1063/1.444775
8. Dirac, P. A. M. The Quantum Theory of the Emission and Absorption of Radiation Proc. R. Soc. London, Ser. A 1927, 114, 243-265 10.1098/rspa.1927.0039
9. Beams, R.; Cancądo, L. G.; Novotny, L. Low Temperature Raman Study of the Electron Coherence Length near Graphene Edges Nano Lett. 2011, 11, 1177-1181 10.1021/nl104134a
10. Lucchese, M. M.; Stavale, F.; Ferreira, E. M.; Vilani, C.; Moutinho, M.; Capaz, R. B.; Achete, C.; Jorio, A. Quantifying Ion-induced Defects and Raman Relaxation Length in Graphene Carbon 2010, 48, 1592-1597 10.1016/j.carbon.2009.12.057
11. Brida, D.; Tomadin, A.; Manzoni, C.; Kim, Y. J.; Lombardo, A.; Milana, S.; Nair, R. R.; Novoselov, K.; Ferrari, A. C.; Cerullo, G. et al. Ultrafast Collinear Scattering and Carrier Multiplication in Graphene Nat. Commun. 2013, 4, 1-8 10.1038/ncomms2987
12. Breusing, M.; Kuehn, S.; Winzer, T.; Malić, E.; Milde, F.; Severin, N.; Rabe, J.; Ropers, C.; Knorr, A.; Elsaesser, T. Ultrafast Nonequilibrium Carrier Dynamics in a Single Graphene Layer Phys. Rev. B: Condens. Matter Mater. Phys. 2011, 83, 153410 10.1103/PhysRevB.83.153410
13. Lui, C. H.; Mak, K. F.; Shan, J.; Heinz, T. F. Ultrafast Photoluminescence from Graphene Phys. Rev. Lett. 2010, 105, 127404 10.1103/PhysRevLett.105.127404
14. Reich, S.; Thomsen, C. Raman Spectroscopy of Graphite Philos. Trans. R. Soc., A 2004, 362, 2271-2288 10.1098/rsta.2004.1454
15. Mostofi, A. A.; Yates, J. R.; Lee, Y.-S.; Souza, I.; Vanderbilt, D.; Marzari, N. Wannier90: A Tool for Obtaining Maximally-localised Wannier Functions Comput. Phys. Commun. 2008, 178, 685-699 10.1016/j.cpc.2007.11.016
16. 13C Isotopes Phys. Rev. B: Condens. Matter Mater. Phys. 2012, 86, 085409 10.1103/PhysRevB.86.085409
17. Chen, C.-F.; Park, C.-H.; Boudouris, B. W.; Horng, J.; Geng, B.; Girit, C.; Zettl, A.; Crommie, M. F.; Segalman, R. A.; Louie, S. G. et al. Controlling inelastic light scattering quantum pathways in graphene Nature 2011, 471, 617-620 10.1038/nature09866
18. Tan, P.; Hu, C.; Dong, J.; Shen, W.; Zhang, B. Polarization Properties, High-order Raman Spectra, and Frequency Asymmetry Between Stokes and Anti-stokes Scattering of Raman Modes in a Graphite Whisker Phys. Rev. B: Condens. Matter Mater. Phys. 2001, 64, 214301 10.1103/PhysRevB.64.214301
19. Cancądo, L.; Pimenta, M.; Saito, R.; Jorio, A.; Ladeira, L.; Grueneis, A.; Souza-Filho, A.; Dresselhaus, G.; Dresselhaus, M. Stokes and Anti-stokes Double Resonance Raman Scattering in Two-dimensional Graphite Phys. Rev. B: Condens. Matter Mater. Phys. 2002, 66, 035415 10.1103/PhysRevB.66.035415
20. Ferrari, A. C.; Basko, D. M. Raman Spectroscopy as a Versatile Tool for Studying the Properties of Graphene Nat. Nanotechnol. 2013, 8, 235-246 10.1038/nnano.2013.46
21. Berciaud, S.; Li, X.; Htoon, H.; Brus, L. E.; Doorn, S. K.; Heinz, T. F. Intrinsic Line Shape of the Raman 2d-mode in Freestanding Graphene Monolayers Nano Lett. 2013, 13, 3517-3523 10.1021/nl400917e
22. Liu, H.-L.; Siregar, S.; Hasdeo, E. H.; Kumamoto, Y.; Shen, C.-C.; Cheng, C.-C.; Li, L.-J.; Saito, R.; Kawata, S. Deep-ultraviolet Raman Scattering Studies of Monolayer Graphene Thin Films Carbon 2015, 81, 807-813 10.1016/j.carbon.2014.10.028
23. Schäfer-Siebert, D.; Budrowski, C.; Kuzmany, H.; Roth, S. Influence of the Conjugation Length of Polyacetylene Chains on the DC-Conductivity in Electronic Properties of Conjugated Polymers Synth. Met. 1987, 21, 285-291 10.1016/0379-6779(87)90100-7
24. Childres, I.; Jauregui, L. A.; Tian, J.; Chen, Y. P. Effect of Oxygen Plasma Etching on Graphene Studied Using Raman Spectroscopy and Electronic Transport Measurements New J. Phys. 2011, 13, 025008 10.1088/1367-2630/13/2/025008
25. Cancądo, L.; Takai, K.; Enoki, T.; Endo, M.; Kim, Y.; Mizusaki, H.; Jorio, A.; Coelho, L.; Magalhaes-Paniago, R.; Pimenta, M. General Equation for the Determination of the Crystallite Size La of Nanographite by Raman Spectroscopy Appl. Phys. Lett. 2006, 88, 163106-163106 10.1063/1.2196057
26. Childres, I.; Jauregui, L. A.; Park, W.; Cao, H.; Chen, Y. P. Raman Spectroscopy of Graphene and Related Materials New J. Phys. 2013, 13, 978-981
27. Cooper, D. R.; D'Anjou, B.; Ghattamaneni, N.; Harack, B.; Hilke, M.; Horth, A.; Majlis, N.; Massicotte, M.; Vandsburger, L.; Whiteway, E. Experimental Review of Graphene ISRN Condens. Matter Phys. 2012, 2012, 1-56 10.5402/2012/501686
28. Ding, F.; Ji, H.; Chen, Y.; Herklotz, A.; Dörr, K.; Mei, Y.; Rastelli, A.; Schmidt, O. G. Stretchable Graphene: A Close Look at Fundamental Parameters Through Biaxial Straining Nano Lett. 2010, 10, 3453-3458 10.1021/nl101533x
29. Rao, R.; Tishler, D.; Katoch, J.; Ishigami, M. Multiphonon Raman Scattering in Graphene Phys. Rev. B: Condens. Matter Mater. Phys. 2011, 84, 113406 10.1103/PhysRevB.84.113406
30. May, P.; Lazzeri, M.; Venezuela, P.; Herziger, F.; Callsen, G.; Reparaz, J. S.; Hoffmann, A.; Mauri, F.; Maultzsch, J. Signature of the Two-dimensional Phonon Dispersion in Graphene Probed by Double-resonant Raman Scattering Phys. Rev. B: Condens. Matter Mater. Phys. 2013, 87, 075402 10.1103/PhysRevB.87.075402
31. Lazzeri, M.; Piscanec, S.; Mauri, F.; Ferrari, A.; Robertson, J. Phonon Linewidths and Electron-phonon Coupling in Graphite and Nanotubes Phys. Rev. B: Condens. Matter Mater. Phys. 2006, 73, 155426 10.1103/PhysRevB.73.155426
32. Kresse, G.; Furthmüller, J. Efficient Iterative Schemes for ab initio Total-energy Calculations Using a Plane-wave Basis Set Phys. Rev. B: Condens. Matter Mater. Phys. 1996, 54, 11169 10.1103/PhysRevB.54.11169
33. Kresse, G.; Furthmüller, J. Efficiency of ab-initio Total Energy Calculations for Metals and Semiconductors Using a Plane-wave Basis Set Comput. Mater. Sci. 1996, 6, 15-50 10.1016/0927-0256(96)00008-0
34. Perdew, J. P.; Burke, K.; Ernzerhof, M. Generalized Gradient Approximation Made Simple Phys. Rev. Lett. 1996, 77, 3865 10.1103/PhysRevLett.77.3865