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In this paper, Raman modes of bi-layer graphene are investigated in detail in the frequency region between 1800 and 2150 cm-1. There are four dominant Raman modes in this frequency region. The frequencies of these modes dependent on excitation energy are revealed from the measurement with multi-wavelength lasers, which can be fully understood based on double resonance Raman scattering and the phonon dispersion relation of monolayer graphene. The results show that these Raman modes can be assigned to the combinational modes from the fundamental modes of iTA, LA and LO phonons, but not from iTO and oTO phonons as reported in the previous works. This study benefits us toward the full understanding of lattice dynamics of monolayer and multilayer graphenes.
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Keywords:
- graphene /
- Raman spectroscopy /
- double resonant scattering /
- laser-energy dispersion
[1] Novoselov K S, Geim A K, Morozov S V, Jiang D, Zhang Y, Dubonos S V, Grigorieva I V, Firsov A A 2004 Science 306 666
[2] Novoselov K S, Geim A K, Morozov S V, Jiang D, Katsnelson M I, Grigorieva I V, Dubonos S V, Firsov A A 2005 Nature 438 197
[3] Zhang Y B, Tan Y W, Stormer H L, Kim P 2005 Nature 438 201
[4] Wu H Q, Linghu C Y, L H M, Qian H 2013 Chin. Phys. B 22 098106
[5] Castro E V, Novoselov K S, Morozov S V, Peres N M R, Lopes dos Santos J M B, Nilsson J, Guinea F, Geim A K, Castro Neto A H 2007 Phys. Rev. Lett. 99 216802
[6] McCann E 2006 Phys. Rev. B 74 161403
[7] Min H, Sahu B, Banerjee S K, MacDonald A H 2007 Phys. Rev. B 75 155115
[8] Tuinstra F, Koenig J L 1970 J. Chem. Phys. 53 1126
[9] Tan P H, Deng Y M, Zhao Q 1998 Phys. Rev. B 58 5453
[10] Tan P H, Hu C Y, Dong J, Shen W C, Zhang B F 2001 Phys. Rev. B 64 214301
[11] Tan P H, An L, Liu L Q, Guo Z X, Czerw R, Carroll D L, Ajayan P M, Zhang N, Guo H L 2002 Phys. Rev. B 66 245410
[12] 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 2006 Phys. Rev. Lett. 97 187401
[13] Cong C X, Yu T, Saito R, Dresselhaus G F, Dresselhaus M S 2011 ACS Nano 5 1600
[14] Rao R, Podila R, Tsuchikawa R, Katoch J, Tishler D, Rao A M, Ishigami M 2011 ACS Nano 5 1594
[15] Sato K, Park J S, Saito R, Cong C, Yu T, Lui C H, Heinz T F, Dresselhaus G, Dresselhaus M S 2011 Phys. Rev. B 84 035419
[16] Zhang Q H, Han J H, Feng G Y, Xu Q X, Ding L Z, Lu X X 2012 Acta Phys. Sin. 61 214209 (in Chinese) [张秋慧, 韩敬华, 冯国英, 徐其兴, 丁立中, 卢晓翔 2012 物理学报 61 214209]
[17] Niu Z Q, Fang Y 2007 Acta Phys. Sin. 56 1796 (in Chinese) [牛志强, 方炎 2007 物理学报 56 1796]
[18] Tan P H, Han W P, Zhao W J, Wu Z H, Chang K, Wang H, Wang Y F, Bonini N, Marzari N, Pugno N, Savini G, Lombardo A, Ferrari A C 2012 Nat. Mater. 11 294
[19] Li Q Q, Han W P, Zhao W J, Lu Y, Zhang X, Tan P H, Feng Z H, Li J 2013 Acta Phys. Sin. 62 137801 (in Chinese) [厉巧巧, 韩文鹏, 赵伟杰, 鲁妍, 张昕, 谭平恒, 冯志红, 李佳 2013 物理学报 62 137801]
[20] Zhao W J, Tan P H, Zhang J, Liu J A 2010 Phys. Rev. B 82 245423
[21] Zhao W J, Tan P H, Liu J, Ferrari A C 2011 J. Am. Chem. Soc. 133 5941
[22] Ni Z H, Wang H M, Kasim J, Fan H M, Yu T, Wu Y H, Feng Y P, Shen Z X 2007 Nano Lett. 7 2758
[23] HanW P, Shi Y M, Li X L, Luo S Q, Lu Y, Tan P H 2013 Acta Phys. Sin. 62 110702 (in Chinese) [韩文鹏, 史衍猛, 李晓莉, 罗师强, 鲁妍, 谭平恒 2013 物理学报 62 110702]
[24] Tan P H, Deng Y M, Zhao Q, Cheng W C 1999 Appl. Phys. Lett. 74 1818
[25] Malard L M, Pimenta M A, Dresselhaus G, Dresselhaus M S 2009 Phys. Rep. 473 51
[26] Tan P H, Hu C Y, Dong J, Shen W C 2007 Physica E 37 93
[27] Thomsen C, Reich S 2000 Phys. Rev. Lett. 85 5214
[28] Saito R, Jorio A, Souza A G, Dresselhaus G, Dresselhaus M S, Pimenta M A 2002 Phys. Rev. Lett. 88 027401
[29] Malard L M, Guimarães M H D, Mafra D L, Mazzoni M S C, Jorio A 2009 Phys. Rev. B 79 125426
[30] Wang H, You J H, Wang L, Feng M, Wang Y F 2010 J. Raman Spectrosc. 41 125
[31] Piscanec S, Lazzeri M, Mauri F, Ferrari A C, Robertson J 2004 Phys. Rev. Lett. 93 185503
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[1] Novoselov K S, Geim A K, Morozov S V, Jiang D, Zhang Y, Dubonos S V, Grigorieva I V, Firsov A A 2004 Science 306 666
[2] Novoselov K S, Geim A K, Morozov S V, Jiang D, Katsnelson M I, Grigorieva I V, Dubonos S V, Firsov A A 2005 Nature 438 197
[3] Zhang Y B, Tan Y W, Stormer H L, Kim P 2005 Nature 438 201
[4] Wu H Q, Linghu C Y, L H M, Qian H 2013 Chin. Phys. B 22 098106
[5] Castro E V, Novoselov K S, Morozov S V, Peres N M R, Lopes dos Santos J M B, Nilsson J, Guinea F, Geim A K, Castro Neto A H 2007 Phys. Rev. Lett. 99 216802
[6] McCann E 2006 Phys. Rev. B 74 161403
[7] Min H, Sahu B, Banerjee S K, MacDonald A H 2007 Phys. Rev. B 75 155115
[8] Tuinstra F, Koenig J L 1970 J. Chem. Phys. 53 1126
[9] Tan P H, Deng Y M, Zhao Q 1998 Phys. Rev. B 58 5453
[10] Tan P H, Hu C Y, Dong J, Shen W C, Zhang B F 2001 Phys. Rev. B 64 214301
[11] Tan P H, An L, Liu L Q, Guo Z X, Czerw R, Carroll D L, Ajayan P M, Zhang N, Guo H L 2002 Phys. Rev. B 66 245410
[12] 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 2006 Phys. Rev. Lett. 97 187401
[13] Cong C X, Yu T, Saito R, Dresselhaus G F, Dresselhaus M S 2011 ACS Nano 5 1600
[14] Rao R, Podila R, Tsuchikawa R, Katoch J, Tishler D, Rao A M, Ishigami M 2011 ACS Nano 5 1594
[15] Sato K, Park J S, Saito R, Cong C, Yu T, Lui C H, Heinz T F, Dresselhaus G, Dresselhaus M S 2011 Phys. Rev. B 84 035419
[16] Zhang Q H, Han J H, Feng G Y, Xu Q X, Ding L Z, Lu X X 2012 Acta Phys. Sin. 61 214209 (in Chinese) [张秋慧, 韩敬华, 冯国英, 徐其兴, 丁立中, 卢晓翔 2012 物理学报 61 214209]
[17] Niu Z Q, Fang Y 2007 Acta Phys. Sin. 56 1796 (in Chinese) [牛志强, 方炎 2007 物理学报 56 1796]
[18] Tan P H, Han W P, Zhao W J, Wu Z H, Chang K, Wang H, Wang Y F, Bonini N, Marzari N, Pugno N, Savini G, Lombardo A, Ferrari A C 2012 Nat. Mater. 11 294
[19] Li Q Q, Han W P, Zhao W J, Lu Y, Zhang X, Tan P H, Feng Z H, Li J 2013 Acta Phys. Sin. 62 137801 (in Chinese) [厉巧巧, 韩文鹏, 赵伟杰, 鲁妍, 张昕, 谭平恒, 冯志红, 李佳 2013 物理学报 62 137801]
[20] Zhao W J, Tan P H, Zhang J, Liu J A 2010 Phys. Rev. B 82 245423
[21] Zhao W J, Tan P H, Liu J, Ferrari A C 2011 J. Am. Chem. Soc. 133 5941
[22] Ni Z H, Wang H M, Kasim J, Fan H M, Yu T, Wu Y H, Feng Y P, Shen Z X 2007 Nano Lett. 7 2758
[23] HanW P, Shi Y M, Li X L, Luo S Q, Lu Y, Tan P H 2013 Acta Phys. Sin. 62 110702 (in Chinese) [韩文鹏, 史衍猛, 李晓莉, 罗师强, 鲁妍, 谭平恒 2013 物理学报 62 110702]
[24] Tan P H, Deng Y M, Zhao Q, Cheng W C 1999 Appl. Phys. Lett. 74 1818
[25] Malard L M, Pimenta M A, Dresselhaus G, Dresselhaus M S 2009 Phys. Rep. 473 51
[26] Tan P H, Hu C Y, Dong J, Shen W C 2007 Physica E 37 93
[27] Thomsen C, Reich S 2000 Phys. Rev. Lett. 85 5214
[28] Saito R, Jorio A, Souza A G, Dresselhaus G, Dresselhaus M S, Pimenta M A 2002 Phys. Rev. Lett. 88 027401
[29] Malard L M, Guimarães M H D, Mafra D L, Mazzoni M S C, Jorio A 2009 Phys. Rev. B 79 125426
[30] Wang H, You J H, Wang L, Feng M, Wang Y F 2010 J. Raman Spectrosc. 41 125
[31] Piscanec S, Lazzeri M, Mauri F, Ferrari A C, Robertson J 2004 Phys. Rev. Lett. 93 185503
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