Violation of the condon approximation in semiconducting carbon nanotubes

ACS Nano

Volumn 5, Issue 6, 2011, Pages 5233-5241

  Duque, Juan G ^a,b   Chen, Hang ^c   Swan, Anna K ^c   Shreve, Andrew P ^a   Kilina, Svetlana ^a   Tretiak, Sergei ^a   Tu, Xiaomin ^d   Zheng, Ming ^d   Doorn, Stephen K ^a  

^a CENTER FOR INTEGRATED NANOTECHNOLOGIES   (United States)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

^c Boston University   (United States)

^d NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

Author keywords

carbon nanotube; exciton phonon coupling; G band; Raman; spectroscopy

Indexed keywords

CONDENSED MATTER SPECTROSCOPY; CONDON APPROXIMATION; ELECTRONIC TRANSITION; EXCITON-PHONON COUPLINGS; FRANCK-CONDON PRINCIPLE; G BAND; NON-CONDON EFFECT; NUCLEAR MOTIONS; NUCLEAR POSITIONS; QUANTUM CHEMICAL CALCULATIONS; RAMAN; RAMAN EXCITATION PROFILE; SCATTERED PHOTONS; SEMICONDUCTING CARBON NANOTUBES; SEMICONDUCTING CHIRALITIES; TIME-SCALES;

BEHAVIORAL RESEARCH; CHIRALITY; ENANTIOMERS; MOLECULAR SPECTROSCOPY; QUANTUM CHEMISTRY; RAMAN SPECTROSCOPY; RESONANCE; STEREOCHEMISTRY;

CARBON NANOTUBES;

EID: 79959773652     PISSN: 19360851     EISSN: 1936086X     Source Type: Journal    
DOI: 10.1021/nn201430z     Document Type: Article

References (54)

1. Novoselov, K. S.; Geim, A. K.; Morozov, S. V.; Jiang, D.; Katsnelson, M. I.; Grigorieva, I. V.; Dubonos, S. V.; Firsov, A. A. Two Dimensional Gas of Massless Dirac Fermions in Graphene Nature 2005, 438, 197-200 (Pubitemid 41599867)
2. Zhou, S. Y.; Gweon, G. H.; Graf, J.; Fedorov, A. V.; Spataru, C. D.; Diehl, R. D.; Kopelevich, Y.; Lee, D. H.; Louie, S. G.; Lanzara, A. First Direct Observation of Dirac Fermions in Graphite Nat. Phys. 2006, 2, 595-599 (Pubitemid 44328344)
3. Geim, A. K.; Novoselov, K. S. The Rise of Graphene Nat. Mater. 2007, 6, 183-191 (Pubitemid 46353764)
4. Castro Neto, A. H.; Guinea, F.; Peres, N. M. R.; Novoselov, K. S.; Geim, A. K. The Electronic Properties of Graphene Rev. Mod. Phys. 2009, 81, 109-162
5. Saito, R.; Fujita, M.; Dresselhaus, G.; Dresselhaus, M. S. Electronic Structure of Chiral Graphene Tubules Appl. Phys. Lett. 1992, 60, 2204-2206
6. Gabor, N. M.; Zhong, Z.; Bosnick, K.; Park, J.; McEuen, P. L. Extremely Efficient Multiple Electron-Hole Pair Generation in Carbon Nanotube Photodiodes Science 2009, 325, 1367-1371
7. Wang, S.; Khafizov, M.; Tu, X.; Zheng, M.; Krauss, T. D. Multiple Exciton Generation in Single-Walled Carbon Nanotubes Nano Lett. 2010, 10, 2381-2386
8. Jiang, J.; Saito, R.; Gruneis, A.; Chou, S. G.; Samsonidze, Ge. G.; Jorio, A.; Dresselhaus, G.; Dresselhaus, M. S. Intensity of the Resonance Raman Excitation Spectra of Single-Walled Carbon Nanotubes Phys. Rev. B 2005, 71, 205420
9. Machon, M.; Reich, S.; Telg, H.; Maultzsch, J.; Ordejon, P.; Thomsen, C. Strength of Radial Breathing Mode in Single-Walled Carbon Nanotubes Phys. Rev. B 2005, 71, 035416
10. Goupalov, S. V.; Satishkumar, B. C.; Doorn, S. K. Chirality and Excitation Dependence of Exciton-Phonon Coupling in Carbon Nanotubes Phys. Rev. B 2006, 73, 115401
11. Yin, Y.; Vamivakas, A. N.; Walsh, A. G.; Cronin, S. B.; Unlu, M. S.; Goldberg, B. B.; Swan, A. K. Optical Determination of Electron-Phonon Coupling in Carbon Nanotubes Phys. Rev. Lett. 2007, 98, 037404
12. Shreve, A. P.; Haroz, E. H.; Bachilo, S. M.; Weisman, R. B.; Tretiak, S.; Kilina, S.; Doorn, S. K. Determination of Exciton-Phonon Coupling Elements in Single-Walled Carbon Nanotubes via Raman Overtone Analysis Phys. Rev. Lett. 2007, 98, 037405
13. Steiner, M.; Freitag, M.; Perebeinos, V.; Tsang, J. C.; Small, J. P.; Kinoshita, M.; Yuan, D. N.; Liu, J.; Avouris, P. Phonon Populations and Electrical Power Dissipation in Carbon Nanotube Transistors Nat. Nanotechnol. 2009, 4, 320-324
14. Lim, Y. S.; Yee, K. J.; Kim, J. H.; Haroz, E. H.; Shaver, J.; Kono, J.; Doorn, S. K.; Hauge, R. H.; Smalley, R. E. Coherent Lattice Vibrations in Single-Walled Carbon Nanotubes Nano Lett. 2006, 6, 2696-2700 (Pubitemid 46131337)
15. Luer, L.; Gadermaier, C.; Crochet, J.; Hertel, T.; Brida, D.; Lanzani, G. Coherent Phonon Dynamics in Semiconducting Carbon Nanotubes: A Quantitative Study of Electron-Phonon Coupling Phys. Rev. Lett. 2009, 102, 127401
16. 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 (Pubitemid 46353766)
17. Piscanec, S.; Lazzeri, M.; Robertson, J.; Ferrari, A. C.; Mauri, F. Optical Phonons in Carbon Nanotubes: Kohn Anomalies, Peierls Distortions, and Dynamic Effects Phys. Rev. B 2007, 75, 035427
18. Bushmaker, A. W.; Deshpande, V. V.; Hsieh, S.; Bockrath, M. W.; Cronin, S. B. Direct Observation of Born-Oppenheimer Approximation Breakdown in Carbon Nanotubes Nano Lett. 2009, 9, 607-611
19. Spataru, C. D.; Ismail-Beigi, S.; Capaz, R. B.; Louie, S. G. Theory and Ab Initio Calculation of Radiative Lifetimes in Semiconducting Carbon Nanotubes Phys. Rev. Lett. 2005, 95, 247402
20. Cognet, L.; Tsyboulski, D. A.; Rocha, J. D. R.; Doyle, C. D.; Tour, J. M.; Weisman, R. B. Step-Wise Quenching of Exciton Fluorescence in Carbon Nanotubes by Single-Molecule Reactions Science 2007, 316, 1465-1468 (Pubitemid 46906610)
21. Carlson, L. J.; Maccagnano, S. E.; Zheng, M.; Silcox, J.; Krauss, T. D. Fluorescence Efficiency of Individual Carbon Nanoubes Nano Lett. 2007, 7, 3698-3703
22. Rajan, A.; Strano, M. S.; Heller, D. A.; Hertel, T.; Schulten, K. Length-Dependent Optical Effects in Single-Walled Carbon Nanotubes J. Phys. Chem. B 2008, 112, 6211-6213
23. Wang, F.; Dukovic, G.; Brus, L. E.; Heinz, T. F. Time-Resolved Fluorescence of Carbon Nanotubes and Its Implications for Radiative Lifetimes Phys. Rev. Lett. 2004, 92, 177401
24. Bunker, P. R.; Moss, R. E. Breakdown of Born-Oppenheimer Approximation: Effective Vibration-Rotation Hamiltonian for a Diatomic Molecule Mol. Phys. 1977, 33, 417-424
25. Kumble, R.; Rush, T. S.; Blackwood, M. E.; Kozlowski, P. M.; Spiro, T. G. Simulation of Non-Condon Enhancement and Interference Effects in the Resonance Raman Intensities of Metalloporphyrins J. Phys. Chem. B 1998, 102, 7280-7286 (Pubitemid 128586731)
26. Huang, K.; Rhys, A. Theory of Light Absorption and Non-radiative Transitions in F-Centres Proc. R. Soc. A 1950, 204, 406-423
27. Dexter, D. L. Theory of Optical Properties of Imperfections in Nonmetals. In Solid State Physics: Advances in Research and Applications; Seitz, F.; Turnbull, D., Eds.; Academic Press: San Diego, CA, 1958; Vol. 6, pp 353-411.
28. Rao, A. M. et al. Diameter Selective Raman Scattering from Vibrational Modes in Carbon Nanotubes Science 1997, 275, 187-191 (Pubitemid 127696277)
29. Telg, H.; Maultzsch, J.; Reich, S.; Hennrich, F.; Thomsen, C. Chirality Distribution and Transition Energies of Carbon Nanotubes Phys. Rev. Lett. 2004, 93, 177401
30. Araujo, P. T.; Doorn, S. K.; Kilina, S.; Tretiak, S.; Einarsson, E.; Maruyama, S.; Chacham, H.; Pimenta, M. A.; Jorio, A. Third and Fourth Optical Transitions in Semiconducting Carbon Nanotubes Phys. Rev. Lett. 2007, 98, 067401
31. Strano, M. S.; Doorn, S. K.; Haroz, E.; Kittrell, C.; Hauge, R. H.; Smalley, R. E. Assignment of (n, m) Raman and Optical Features of Metallic Single-Walled Carbon Nanotubes Nano Lett. 2003, 3, 1091-1096 (Pubitemid 37289302)
32. Fantini, C.; Jorio, A.; Souza, M.; Strano, M. S.; Dresselhaus, M. S.; Pimenta, M. A. Optical Transition Energies for Carbon Nanotubes from Resonant Raman Spectroscopy: Environment and Temperature Effects Phys. Rev. Lett. 2004, 93, 147406
33. Yao, Z.; Kane, C. L.; Dekker, C. High-Field Electrical Transport in Single-Walled Carbon Nanotubes Phys. Rev. Lett. 2000, 84, 2941-2944 (Pubitemid 40598935)
34. Suzuura, H.; Ando, T. Phonons and Electron-Phonon Scattering in Carbon Nanotubes Phys. Rev. B 2002, 65, 235412
35. Perebeinos, V.; Tersoff, J.; Avouris, P. Electron-Phonon Interaction and Transport in Semiconducting Carbon Nanotubes Phys. Rev. Lett. 2005, 94, 086802
36. Martin, R. M.; Falicov, L. M. Resonant Raman Scattering. In Light Scattering in Solids I, Topics in Applied Physics, 2 nd ed.; Cardona, M., Ed.; Springer-Verlag: Berlin, 1983; Vol. 8, pp 79-146.
37. Canonico, M.; Adams, G. B.; Poweleit, C.; Menendez, J.; Page, J. B.; Harris, G.; van der Meulen, H. P.; Calleja, J. M.; Rubio, J. Characterization of Carbon Nanotubes Using Raman Excitation Profiles Phys. Rev. B 2002, 65, 201402(R)
38. Thomsen, C.; Reich, S. Raman Scattering in Carbon Nanotubes. In Light Scattering in Solids IX, Topics in Applied Physics; Springer-Verlag, Berlin, 2007; Vol. 108, pp 115-232.
39. Pimenta, M. A.; Marucci, A.; Empedocles, S. A.; Bawendi, M. G.; Hanlon, E. B.; Rao, A. M.; Eklund, P. C.; Smalley, R. E.; Dresselhaus, G.; Dresselhaus, M. S. Raman Modes of Metallic Carbon Nanotubes Phys. Rev. B 1998, 58, 16016(R)
40. Vamivakas, A. N.; Walsh, A.; Yin, Y.; Unlu, M. S.; Goldberg, B. B.; Swan, A. K. Exciton-Mediated One-Phonon Resonant Raman Scattering from One-Dimensional Systems Phys. Rev. B 2006, 74, 205405
41. Doorn, S. K.; Heller, D. A.; Barone, P. W.; Usrey, M. L.; Strano, M. S. Resonant Raman Excitation Profiles of Individually Dispersed Single-Walled Carbon Nanotubes in Solution Appl. Phys. A: Mater. Sci. Process. 2004, 78, 1147-1155
42. Tu, X.; Manohar, S.; Jagota, A.; Zheng, M. DNA Sequence Motifs for Structure-Specific Recognition and Separation of Carbon Nanotubes Nature 2009, 460, 250-253
43. Albrecht, A. C. On the Theory of Raman Intensities J. Chem. Phys. 1961, 34, 1476-1484
44. Clark, R. J. H.; Dines, T. J. Interference between A-and B -Term Resonance Raman Scattering for Totally Symmetric Modes Chem. Phys. Lett. 1981, 79, 321
45. Bussi, G.; Menendez, J.; Ren, J.; Canonico, M.; Molinari, E. Quantum Interferences in the Raman Cross Section for the Radial Breathing Mode in Metallic Carbon Nanotubes Phys. Rev. B 2005, 71, R041404
46. Son, H.; Reina, A.; Samsonidze, G. G.; Saito, R.; Jorio, A.; Dresselhaus, M. S.; Kong, J. Raman Characterization of Electronic Transition Energies of Metallic Single-Wall Carbon Nanotubes Phys. Rev. B 2006, 74, 073406
47. Tretiak, S.; Saxena, A.; Martin, R. L.; Bishop, A. R. Conformational Dynamics of Photoexcited Conjugated Molecules Phys. Rev. Lett. 2002, 89, 097402
48. Kilina, S.; Tretiak, S. Excitonic and Vibrational Properties of Single-Walled Semiconducting Carbon Nanotubes Adv. Funct. Mater. 2007, 17, 3405-3420 (Pubitemid 350221691)
49. Jiang, J.; Saito, R.; Sato, K.; Park, J. S.; Samsonidze, Ge. G.; Jorio, A.; Dresselhaus, G.; Dresselhaus, M. S. Exciton-Photon, Exciton-Phonon Matrix Elements, and Resonant Raman Intensity of Single-Wall Carbon Nanotubes Phys. Rev. B 2007, 75, 035405
50. Saito, R.; Dresselhaus, G.; Dresselhaus, M. S. Trigonal Warping Effect of Carbon Nanotubes Phys. Rev. B 2000, 61, 2981-2990
51. Reich, S.; Thomsen, C. Chirality Dependence of the Density-of-States Singularities in Carbon Nanotubes Phys. Rev. B 2000, 62, 4273-4276
52. Zucker, J. E.; Pinczuk, A.; Chemla, D. S. Relation of Resonant Raman Line-Shape to Electronic Structure in Quantum Wells Phys. Rev. B 1988, 38, 4287-4290
53. 44 Exciton Transitions in Semiconducting Single-Walled Carbon Nanotubes Phys. Rev. B 2008, 77, 125405
54. Telg, H.; Maultzsch, J.; Reich, S.; Thomsen, C. Resonant Raman Intensities and Transition Energies of the E11 Transitions in Carbon Nanotubes Phys. Rev. B 2006, 74, 115415