Please wait a minute...
Chin. Phys. B, 2013, Vol. 22(1): 017303    DOI: 10.1088/1674-1056/22/1/017303
CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES Prev   Next  

Optical conductivity of ABA-stacked trilayer graphene

Zhu Guo-Bao (朱国宝), Zhang Peng (章鹏)
Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
Abstract  In this paper, the optical conductivity of a trilayer graphene is studied using the Kubo-Greenwood formula. We calculate the real part of the diagonal optical conductivity of an ABA-stacked trilayer graphene with different Fermi energies. The optical conductivity arises from interband matrix elements of the electric current operator involving the transitions from the occupied states to the unoccupied ones. We study the dependence of the real part of the diagonal optical conductivity on the photon energy, and the role of the transitions.
Keywords:  graphene      optical conductivity      photon energy  
Received:  03 August 2012      Revised:  24 September 2012      Accepted manuscript online: 
PACS:  73.61.Wp (Fullerenes and related materials)  
  78.67.-n (Optical properties of low-dimensional, mesoscopic, and nanoscale materials and structures)  
  78.20.Ls (Magneto-optical effects)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10934010) and the National Basic Research Program of China (Grant Nos. 2011CB921502 and 2012CB821305).
Corresponding Authors:  Zhu Guo-Bao     E-mail:  zhuguobao@gmail.com

Cite this article: 

Zhu Guo-Bao (朱国宝), Zhang Peng (章鹏) Optical conductivity of ABA-stacked trilayer graphene 2013 Chin. Phys. B 22 017303

[1] Novoselov K S, Geim A K, Morozov S V, Jiang D, Zhang Y, Dubonos S V, Grigorieva I V and Firsov A A 2004 Science. 306 666
[2] Castro Neto A H, Guinea F, Peres N M R, Novoselov K S and Geim A K 2009 Rev. Mod. Phys. 81 109
[3] Zhang L J and Xia T S 2010 Chin. Phys. B 19 117106
[4] Xu X G, Xu G J, Cao J C and Zhang C 2011 Chin. Phys. B 20 027201
[5] Lin X, Wang H L, Pan H and Xu H Z 2011 Chin. Phys. B 20 047302
[6] Wang T, Guo Q, Liu Y and Sheng K 2012 Chin. Phys. B 21 067301
[7] Luo T, Zhu W, Shi Q W and Wang X P 2008 Acta Phys. Sin. 57 3775 (in Chinese)
[8] Ouyang F P, Li M J, Xiao J, Xu H and Wang H Y 2008 Acta Phys. Sin. 57 7132 (in Chinese)
[9] Hu H X, Zhang Z H, Liu X H, Qiu M and Ding K H 2009 Acta Phys. Sin. 58 7156 (in Chinese)
[10] Jin Z F, Tong G P and Jiang Y J 2009 Acta Phys. Sin. 58 8537 (in Chinese)
[11] Taychatanapat T, Watanabe K, Taniguchi T and Jarillo-Herrero P 2011 Nat. Phys. 7 621
[12] Kumar A, EscoffierW, Poumirol J M, Faugeras C, Arovas D P, Fogler M M, Guinea F, Roche S, Goiran M and Raquet B 2011 Phys. Rev. Lett. 107 126806
[13] Lui C H, Li Z, Mak K F, Cappelluti E and Heinz T F 2011 Nat. Phys. 7 944
[14] Bao W, Jing L, Lee Y, Velasco Jr J, Kratz P, Tran D, Standley B, Aykol M, Cronin S B, Smirnov D, Koshino M, McCann E, Bockrath M and Lau C 2011 Nat. Phys. 7 948
[15] Zhang L, Zhang Y, Camacho J, Khodas M and Zaliznyak I A 2011 Nat. Phys. 7 953
[16] Stauber T, Peres N M R and Geim A K 2008 Phys. Rev. B 78 085432
[17] Ando T, Zheng Y and Suzuura H 2002 J. Phys. Soc. Jpn. 71 1318
[18] Gusynin V P, Sharapov S G and Carbotte J P 2006 Phys. Rev. Lett. 96 256802
[19] Peres N M R, Guinea F and Castro Neto A H 2006 Phys. Rev. B 73 125411
[20] Li Z Q, Henriksen E A, Jiang Z, Hao Z, Martin M C, Kim P, Stormer H L and Basov D N 2008 Nat. Phys. 4 532
[21] Nair R R, Blake P, Grigorenko A N, Novoselov K S, Booth T J Stauber T, Peres N M R and Geim A K 2008 Science. 320 1308
[22] Dong J M and Shu Z H 2003 Acta Phys. Sin. 52 2918 (in Chinese)
[23] Qiu S D, Hu C Z, Wang A J and Zhou X 2006 Acta Phys. Sin. 55 743 (in Chinese)
[24] Gusynin V P, Sharapov S G and Carbotte J P 2007 Phys. Rev. B 75 165407
[25] Ingenhoven P, Bernád J Z, Zülicke U and Egger R 2010 Phys. Rev. B 81 035421
[26] Nicol E J and Carbotte J P 2008 Phys. Rev. B 77 155409
[27] Tse W K and MacDonald A H 2009 Phys. Rev. B 80 195417
[28] Morimoto T, Avishai Y and Aoki H 2010 Phys. Rev. B 82 081404
[29] Yan J A, Ruan W Y and Chou M Y 2011 Phys. Rev. B 83 245418
[30] Guinea F, Castro Neto A H and Peres N M R 2006 Phys. Rev. B 73 245426
[31] Koshino M and McCann E 2009 Phys. Rev. B 79 125443
[32] Yuan S, Roldán R and Katsnelson M I 2011 Phys. Rev. B 84 125455
[33] Gelderen R, Lim L and Smith C M 2011 Phys. Rev. B 84 155446
[34] Sena S H R, Pereira Jr J M, Peeters F M and Farias G A 2011 Phys. Rev. B 84 205448
[35] Koshino M and Ando T 2007 Phys. Rev. B 76 085425
[36] Koshino M and Ando T 2008 Phys. Rev. B 77 115313
[37] Peres N M R, Guinea F and Castro Neto A H 2005 Phys. Rev. B 72 174406
[38] Nilsson J, Castro Neto A H, Peres N M R and Guinea F 2006 Phys. Rev. B 73 214418
[39] Mahan G D 2000 Many-Particle Physics (New York: Kluwer Academic/Plenum)
[40] Schachinger E and Carbotte J P 2011 Phys. Rev. B 84 134522
[1] Polarization Raman spectra of graphene nanoribbons
Wangwei Xu(许望伟), Shijie Sun(孙诗杰), Muzi Yang(杨慕紫), Zhenliang Hao(郝振亮), Lei Gao(高蕾), Jianchen Lu(卢建臣), Jiasen Zhu(朱嘉森), Jian Chen(陈建), and Jinming Cai(蔡金明). Chin. Phys. B, 2023, 32(4): 046803.
[2] Spin- and valley-polarized Goos-Hänchen-like shift in ferromagnetic mass graphene junction with circularly polarized light
Mei-Rong Liu(刘美荣), Zheng-Fang Liu(刘正方), Ruo-Long Zhang(张若龙), Xian-Bo Xiao(肖贤波), and Qing-Ping Wu(伍清萍). Chin. Phys. B, 2023, 32(3): 037301.
[3] Graphene metasurface-based switchable terahertz half-/quarter-wave plate with a broad bandwidth
Xiaoqing Luo(罗小青), Juan Luo(罗娟), Fangrong Hu(胡放荣), and Guangyuan Li(李光元). Chin. Phys. B, 2023, 32(2): 027801.
[4] Correlated states in alternating twisted bilayer-monolayer-monolayer graphene heterostructure
Ruirui Niu(牛锐锐), Xiangyan Han(韩香岩), Zhuangzhuang Qu(曲壮壮), Zhiyu Wang(王知雨), Zhuoxian Li(李卓贤), Qianling Liu(刘倩伶), Chunrui Han(韩春蕊), and Jianming Lu(路建明). Chin. Phys. B, 2023, 32(1): 017202.
[5] Adsorption dynamics of double-stranded DNA on a graphene oxide surface with both large unoxidized and oxidized regions
Mengjiao Wu(吴梦娇), Huishu Ma(马慧姝), Haiping Fang(方海平), Li Yang(阳丽), and Xiaoling Lei(雷晓玲). Chin. Phys. B, 2023, 32(1): 018701.
[6] Dynamically tunable multiband plasmon-induced transparency effect based on graphene nanoribbon waveguide coupled with rectangle cavities system
Zi-Hao Zhu(朱子豪), Bo-Yun Wang(王波云), Xiang Yan(闫香), Yang Liu(刘洋), Qing-Dong Zeng(曾庆栋), Tao Wang(王涛), and Hua-Qing Yu(余华清). Chin. Phys. B, 2022, 31(8): 084210.
[7] Precisely controlling the twist angle of epitaxial MoS2/graphene heterostructure by AFM tip manipulation
Jiahao Yuan(袁嘉浩), Mengzhou Liao(廖梦舟), Zhiheng Huang(黄智恒), Jinpeng Tian(田金朋), Yanbang Chu(褚衍邦), Luojun Du(杜罗军), Wei Yang(杨威), Dongxia Shi(时东霞), Rong Yang(杨蓉), and Guangyu Zhang(张广宇). Chin. Phys. B, 2022, 31(8): 087302.
[8] Longitudinal conductivity in ABC-stacked trilayer graphene under irradiating of linearly polarized light
Guo-Bao Zhu(朱国宝), Hui-Min Yang(杨慧敏), and Jie Yang(杨杰). Chin. Phys. B, 2022, 31(8): 088102.
[9] Dual-channel tunable near-infrared absorption enhancement with graphene induced by coupled modes of topological interface states
Zeng-Ping Su(苏增平), Tong-Tong Wei(魏彤彤), and Yue-Ke Wang(王跃科). Chin. Phys. B, 2022, 31(8): 087804.
[10] Recent advances of defect-induced spin and valley polarized states in graphene
Yu Zhang(张钰), Liangguang Jia(贾亮广), Yaoyao Chen(陈瑶瑶), Lin He(何林), and Yeliang Wang(王业亮). Chin. Phys. B, 2022, 31(8): 087301.
[11] Valley-dependent transport in strain engineering graphene heterojunctions
Fei Wan(万飞), X R Wang(王新茹), L H Liao(廖烈鸿), J Y Zhang(张嘉颜),M N Chen(陈梦南), G H Zhou(周光辉), Z B Siu(萧卓彬), Mansoor B. A. Jalil, and Yuan Li(李源). Chin. Phys. B, 2022, 31(7): 077302.
[12] Photoelectrochemical activity of ZnO:Ag/rGO photo-anodes synthesized by two-steps sol-gel method
D Ben Jemia, M Karyaoui, M A Wederni, A Bardaoui, M V Martinez-Huerta, M Amlouk, and R Chtourou. Chin. Phys. B, 2022, 31(5): 058201.
[13] Thermionic electron emission in the 1D edge-to-edge limit
Tongyao Zhang(张桐耀), Hanwen Wang(王汉文), Xiuxin Xia(夏秀鑫), Chengbing Qin(秦成兵), and Xiaoxi Li(李小茜). Chin. Phys. B, 2022, 31(5): 058504.
[14] TiS2-graphene heterostructures enabling polysulfide anchoring and fast electrocatalyst for lithium-sulfur batteries: A first-principles calculation
Wenyang Zhao(赵文阳), Li-Chun Xu(徐利春), Yuhong Guo(郭宇宏), Zhi Yang(杨致), Ruiping Liu(刘瑞萍), and Xiuyan Li(李秀燕). Chin. Phys. B, 2022, 31(4): 047101.
[15] Light-modulated electron retroreflection and Klein tunneling in a graphene-based n-p-n junction
Xingfei Zhou(周兴飞), Ziying Wu(吴子瀛), Yuchen Bai(白宇晨), Qicheng Wang(王起程), Zhentao Zhu(朱震涛), Wei Yan(闫巍), and Yafang Xu(许亚芳). Chin. Phys. B, 2022, 31(4): 047301.
No Suggested Reading articles found!