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双层石墨烯位于18002150 cm-1频率范围内的和频拉曼模

厉巧巧 张昕 吴江滨 鲁妍 谭平恒 冯志红 李佳 蔚翠 刘庆斌

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双层石墨烯位于18002150 cm-1频率范围内的和频拉曼模

厉巧巧, 张昕, 吴江滨, 鲁妍, 谭平恒, 冯志红, 李佳, 蔚翠, 刘庆斌

The second-order combination Raman modes of bilayer graphene in the range of 1800-2150 cm-1

Li Qiao-Qiao, Zhang Xin, Wu Jiang-Bin, Lu Yan, Tan Ping-Heng, Feng Zhi-Hong, Li Jia, Wei Cui, Liu Qing-Bin
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  • 文章利用拉曼光谱研究了双层石墨烯在18002150 cm-1范围内的和频拉曼模. 基于双共振拉曼散射理论,利用多波长激光拉曼散射结合声子色散曲线分别从实验上和理论上分析发现,双层石墨烯在此频率范围内主要存在4个拉曼模,它们主要由LO和LA或iTA按不同共振散射方式所组成的4个和频模,而iTO 和oTO 参与和频的可能性很小. 文章澄清了学术界在18002150 cm-1频率范围内和频模的解释,有助于进一步深入理解多层石墨烯在此范围内的和频模.
    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.
    • 基金项目: 国家重点基础研究发展计划(批准号:2009CB929301)、国家自然科学基金(批准号:11225421,10934007)资助的课题.
    • Funds: Project supported by the National Basic Research Program of China (Grant No. G2009CB929301), and the National Natural Science Foundation of China (Grant Nos. 11225421, 10934007).
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    [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

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    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

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    Cong C X, Yu T, Saito R, Dresselhaus G F, Dresselhaus M S 2011 ACS Nano 5 1600

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    Rao R, Podila R, Tsuchikawa R, Katoch J, Tishler D, Rao A M, Ishigami M 2011 ACS Nano 5 1594

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    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

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    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 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 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

  • [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 61 214209]

    [17]

    Niu Z Q, Fang Y 2007 Acta Phys. Sin. 56 1796 (in Chinese) [牛志强, 方炎 2007 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 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 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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出版历程
  • 收稿日期:  2014-04-22
  • 修回日期:  2014-05-08
  • 刊出日期:  2014-07-05

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