拓扑材料等离激元谱学研究

王冲; 邢巧霞; 谢元钢; 晏湖根

doi:10.7498/aps.68.20191098

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摘要

等离激元光子学是现代光电子科学重要的组成部分. 除了传统的基于贵金属的等离激元研究, 随着新材料的快速发展, 越来越多具有新颖的等离激元性质的材料被发现. 典型的例子是具有高局域性和可调节性的石墨烯等离激元. 随着拓扑理论和实验的快速发展, 与石墨烯一样具有狄拉克线性色散的拓扑材料的等离激元光谱研究也取得了长足的进步. 本文首先介绍拓扑绝缘体和拓扑半金属的等离激元的谱学实验进展, 特别是光谱方面的进展. 随后对更多的有潜力适合二维等离激元研究的拓扑材料进行了展望.

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作者及机构信息

复旦大学物理系, 上海　200438

通信作者: 王冲, wangchong_01@126.com ; 晏湖根, hgyan@fudan.edu.cn

基金项目: 国家自然科学基金青年科学基金(批准号: 11704075)和中国博士后科学基金资助的课题

文章全文

参考文献

[1]	Brongersma M L, Shalaev V M 2010 Science 328 440
[2]	West P R, Ishii S, Naik G V, Emani N K, Shalaev V M, Boltasseva A 2010 Laser Photonics Rev. 4 795
[3]	Huang S, Song C, Zhang G, Yan H 2016 Nanophotonics 6 1191
[4]	Low T, Avouris P 2014 ACS Nano 8 1086
[5]	Chen J, Badioli M, Alonso-Gonzalez P, Thongrattanasiri S, Huth F, Osmond J, Spasenovic M, Centeno A, Pesquera A, Godignon P, Elorza A Z, Camara N, Garcia de Abajo F J, Hillenbrand R, Koppens F H 2012 Nature 487 77
[6]	Fei Z, Rodin A S, Andreev G O, Bao W, McLeod A S, Wagner M, Zhang L M, Zhao Z, Thiemens M, Dominguez G, Fogler M M, Castro Neto A H, Lau C N, Keilmann F, Basov D N 2012 Nature 487 82
[7]	Ju L, Geng B, Horng J, Girit C, Martin M, Hao Z, Bechtel H A, Liang X, Zettl A, Shen Y R, Wang F 2011 Nat. Nanotechnol. 6 630
[8]	Jia W, Ren P W, Tian Y C, Fan C Z 2019 Chin. Phys. B 28 026102
[9]	Ding G W, Liu S B, Zhang H F, Kong X K, Li H M, Li B X, Liu S Y, Li H 2015 Chin. Phys. B 24 118103
[10]	Das Sarma S, Hwang E H 2009 Phys. Rev. Lett. 102 206412
[11]	Zhang H, Liu C X, Qi X L, Dai X, Fang Z, Zhang S C 2009 Nat. Phys. 5 438
[12]	Wang Z H, Gao X P A, Zhang Z D 2018 Chin. Phys. B 27 107901
[13]	Liu Z K, Zhou B, Zhang Y, Wang Z J, Weng H M, Prabhakaran D, Mo S K, Shen Z X, Fang Z, Dai X, Hussain Z, Chen Y L 2014 Science 343 864
[14]	Borisenko S, Gibson Q, Evtushinsky D, Zabolotnyy V, Büchner B, Cava R J 2014 Phys. Rev. Lett. 113 027603
[15]	Neupane M, Xu S Y, Sankar R, Alidoust N, Bian G, Liu C, Belopolski I, Chang T R, Jeng H T, Lin H, Bansil A, Chou F, Hasan M Z 2014 Nat. Commun. 5 3786
[16]	Liu Z K, Jiang J, Zhou B, Wang Z J, Zhang Y, Weng H M, Prabhakaran D, Mo S K, Peng H, Dudin P, Kim T, Hoesch M, Fang Z, Dai X, Shen Z X, Feng D L, Hussain Z, Chen Y L 2014 Nat. Mater. 13 677
[17]	Li Q, Kharzeev D E, Zhang C, Huang Y, Pletikosić I, Fedorov A V, Zhong R D, Schneeloch J A, Gu G D, Valla T 2016 Nat. Phys. 12 550
[18]	Wang Z, Sun Y, Chen X Q, Franchini C, Xu G, Weng H, Dai X, Fang Z 2012 Phys. Rev. B 85 195320
[19]	Burkov A A, Balents L 2011 Phys. Rev. Lett. 107 127205
[20]	Halász G B, Balents L 2012 Phys. Rev. B 85 035103
[21]	Huang S M, Xu S Y, Belopolski I, Lee C C, Chang G, Wang B, Alidoust N, Bian G, Neupane M, Zhang C, Jia S, Bansil A, Lin H, Hasan M Z 2015 Nat. Commun. 6 7373
[22]	Weng H, Fang C, Fang Z, Bernevig B A, Dai X 2015 Phys. Rev. X 5 011029
[23]	Souma S, Wang Z, Kotaka H, Sato T, Nakayama K, Tanaka Y, Kimizuka H, Takahashi T, Yamauchi K, Oguchi T, Segawa K, Ando Y 2016 Phys. Rev. B 93 161112
[24]	Lv B Q, Weng H M, Fu B B, Wang X P, Miao H, Ma J, Richard P, Huang X C, Zhao L X, Chen G F, Fang Z, Dai X, Qian T, Ding H 2015 Phys. Rev. X 5 031013
[25]	Xu S Y, Belopolski I, Alidoust N, Neupane M, Bian G, Zhang C, Sankar R, Chang G, Yuan Z, Lee C C, Huang S M, Zheng H, Ma J, Sanchez D S, Wang B, Bansil A, Chou F, Shibayev P P, Lin H, Jia S, Hasan M Z 2015 Science 349 613
[26]	Xu S Y, Alidoust N, Belopolski I, Yuan Z, Bian G, Chang T-R, Zheng H, Strocov V N, Sanchez D S, Chang G, Zhang C, Mou D, Wu Y, Huang L, Lee C C, Huang S M, Wang B, Bansil A, Jeng H T, Neupert T, Kaminski A, Lin H, Jia S, Zahid Hasan M 2015 Nat. Phys. 11 748
[27]	Xu S Y, Belopolski I, Sanchez D S, Zhang C, Chang G, Guo C, Bian G, Yuan Z, Lu H, Chang T R, Shibayev P P, Prokopovych M L, Alidoust N, Zheng H, Lee C C, Huang S M, Sankar R, Chou F, Hsu C H, Jeng H T, Bansil A, Neupert T, Strocov V N, Lin H, Jia S, Hasan M Z 2015 Sci. Adv. 1 e1501092
[28]	Burkov A A, Hook M D, Balents L 2011 Phys. Rev. B 84 235126
[29]	Fang C, Weng H, Dai X, Fang Z 2016 Chin. Phys. B 25 117106
[30]	Wu Y, Wang L L, Mun E, Johnson D D, Mou D, Huang L, Lee Y, Bud’ko S L, Canfield P C, Kaminski A 2016 Nat. Phys. 12 667
[31]	Schoop L M, Ali M N, Strasser C, Topp A, Varykhalov A, Marchenko D, Duppel V, Parkin S S, Lotsch B V, Ast C R 2016 Nat. Commun. 7 11696
[32]	Neupane M, Belopolski I, Hosen M M, Sanchez D S, Sankar R, Szlawska M, Xu S Y, Dimitri K, Dhakal N, Maldonado P, Oppeneer P M, Kaczorowski D, Chou F, Hasan M Z, Durakiewicz T 2016 Phys. Rev. B 93 201104
[33]	Hu J, Tang Z, Liu J, Liu X, Zhu Y, Graf D, Myhro K, Tran S, Lau C N, Wei J, Mao Z 2016 Phys. Rev. Lett. 117 016602
[34]	Bian G, Chang T R, Sankar R, Xu S Y, Zheng H, Neupert T, Chiu C K, Huang S M, Chang G, Belopolski I, Sanchez D S, Neupane M, Alidoust N, Liu C, Wang B, Lee C C, Jeng H T, Zhang C, Yuan Z, Jia S, Bansil A, Chou F, Lin H, Hasan M Z 2016 Nat. Commun. 7 10556
[35]	Feng B, Fu B, Kasamatsu S, Ito S, Cheng P, Liu C C, Feng Y, Wu S, Mahatha S K, Sheverdyaeva P, Moras P, Arita M, Sugino O, Chiang T C, Shimada K, Miyamoto K, Okuda T, Wu K, Chen L, Yao Y, Matsuda I 2017 Nat. Commun. 8 1007
[36]	Song H D, Sheng D, Wang A Q, Li J G, Yu D P, Liao Z M 2017 Chin. Phys. B 26 037301
[37]	Wang H, Wang J 2018 Chin. Phys. B 27 107402
[38]	Ali M N, Xiong J, Flynn S, Tao J, Gibson Q D, Schoop L M, Liang T, Haldolaarachchige N, Hirschberger M, Ong N P, Cava R J 2014 Nature 514 205
[39]	Huang X, Zhao L, Long Y, Wang P, Chen D, Yang Z, Liang H, Xue M, Weng H, Fang Z, Dai X, Chen G 2015 Phys. Rev. X 5 031023
[40]	Xu X T, Jia S 2016 Chin. Phys. B 25 117204
[41]	Liang T, Lin J, Gibson Q, Kushwaha S, Liu M, Wang W, Xiong H, Sobota J A, Hashimoto M, Kirchmann P S, Shen Z X, Cava R J, Ong N P 2018 Nat. Phys. 14 451
[42]	Burkov A A 2014 Phys. Rev. Lett. 113 187202
[43]	Stauber T, Gómez-Santos G, Brey L 2013 Phys. Rev. B 88 205427
[44]	Stauber T, Gómez-Santos G, Brey L 2017 ACS Photonics 4 2978
[45]	Stauber T 2014 J. Phys. Condens. Matter 26 123201
[46]	Di Pietro P, Ortolani M, Limaj O, Di Gaspare A, Giliberti V, Giorgianni F, Brahlek M, Bansal N, Koirala N, Oh S, Calvani P, Lupi S 2013 Nat. Nanotechnol. 8 556
[47]	Autore M, Engelkamp H, D’Apuzzo F, Gaspare A D, Pietro P D, Vecchio I L, Brahlek M, Koirala N, Oh S, Lupi S 2015 ACS Photonics 2 1231
[48]	Autore M, D’Apuzzo F, Di Gaspare A, Giliberti V, Limaj O, Roy P, Brahlek M, Koirala N, Oh S, García de Abajo F J, Lupi S 2015 Adv. Opt. Mater. 3 1257
[49]	Ou J Y, So J K, Adamo G, Sulaev A, Wang L, Zheludev N I 2014 Nat. Commun. 5 5139
[50]	Ginley T P, Law S 2018 Adv. Opt. Mater. 6 1800113
[51]	Autore M, Giorgianni F, D’Apuzzo F, Di Gaspare A, Lo Vecchio I, Brahlek M, Koirala N, Oh S, Schade U, Ortolani M, Lupi S 2016 Nanoscale 8 4667
[52]	Nascimento V B, de Carvalho V E, Paniago R, Soares E A, Ladeira L O, Pfannes H D 1999 J. Electron. Spectrosc. Relat. Phenom. 104 99
[53]	Liou S C, Chu M W, Sankar R, Huang F T, Shu G J, Chou F C, Chen C H 2013 Phys. Rev. B 87 085126
[54]	Politano A, Silkin V M, Nechaev I A, Vitiello M S, Viti L, Aliev Z S, Babanly M B, Chiarello G, Echenique P M, Chulkov E V 2015 Phys. Rev. Lett. 115 216802
[55]	Kogar A, Vig S, Thaler A, Wong M H, Xiao Y, Reig-i-Plessis D, Cho G Y, Valla T, Pan Z, Schneeloch J, Zhong R, Gu G D, Hughes T L, MacDougall G J, Chiang T C, Abbamonte P 2015 Phys. Rev. Lett. 115 257402
[56]	Jia X, Zhang S, Sankar R, Chou F C, Wang W, Kempa K, Plummer E W, Zhang J, Zhu X, Guo J 2017 Phys. Rev. Lett. 119 136805
[57]	Zhu X, Cao Y, Zhang S, Jia X, Guo Q, Yang F, Zhu L, Zhang J, Plummer E W, Guo J 2015 Rev. Sci. Instrum. 86 083902
[58]	Hofmann J, Das Sarma S 2016 Phys. Rev. B 93 241402
[59]	Zhou J, Chang H R, Xiao D 2015 Phys. Rev. B 91 035114
[60]	Politano A, Chiarello G, Ghosh B, Sadhukhan K, Kuo C N, Lue C S, Pellegrini V, Agarwal A 2018 Phys. Rev. Lett. 121 086804
[61]	Chiarello G, Hofmann J, Li Z, Fabio V, Guo L, Chen X, Das Sarma S, Politano A 2019 Phys. Rev. B 99 121401
[62]	Ashish Chanana N L, Hugo O, Condori Quispe, Prashanth Gopalan, Joshua R, Winger S B, Ajay Nahata, Vikram Deshpande, Michael A Scarpulla, Berardi, Sensale-Rodriguez 2018 arXiv:1811.04306
[63]	Frenzel A J, Homes C C, Gibson Q D, Shao Y M, Post K W, Charnukha A, Cava R J, Basov D N 2017 Phys. Rev. B 95 245140
[64]	Basov D N, Fogler M M, García de Abajo F J 2016 Science 354 aag1992
[65]	Soluyanov A A, Gresch D, Wang Z, Wu Q, Troyer M, Dai X, Bernevig B A 2015 Nature 527 495
[66]	Deng K, Wan G, Deng P, Zhang K, Ding S, Wang E, Yan M, Huang H, Zhang H, Xu Z, Denlinger J, Fedorov A, Yang H, Duan W, Yao H, Wu Y, Fan S, Zhang H, Chen X, Zhou S 2016 Nat. Phys. 12 1105
[67]	Haubold E, Koepernik K, Efremov D, Khim S, Fedorov A, Kushnirenko Y, van den Brink J, Wurmehl S, Büchner B, Kim T K, Hoesch M, Sumida K, Taguchi K, Yoshikawa T, Kimura A, Okuda T, Borisenko S V 2017 Phys. Rev. B 95 241108
[68]	Yankowitz M, Ma Q, Jarillo-Herrero P, LeRoy B J 2019 Nat. Rev. Phys. 1 112
[69]	Wang L, Meric I, Huang P Y, Gao Q, Gao Y, Tran H, Taniguchi T, Watanabe K, Campos L M, Muller D A, Guo J, Kim P, Hone J, Shepard K L, Dean C R 2013 Science 342 614
[70]	Ni G X, McLeod A S, Sun Z, Wang L, Xiong L, Post K W, Sunku S S, Jiang B Y, Hone J, Dean C R, Fogler M M, Basov D N 2018 Nature 557 530
[71]	Yan Z, Huang P W, Wang Z 2016 Phys. Rev. B 93 085138
[72]	Long Z, Wang Y, Erukhimova M, Tokman M, Belyanin A 2018 Phys. Rev. Lett. 120 037403
[73]	Song J C W, Rudner M S 2017 Phys. Rev. B 96 205443
[74]	Hofmann J, Das Sarma S 2015 Phys. Rev. B 91 241108
[75]	Lai J, Liu X, Ma J, Wang Q, Zhang K, Ren X, Liu Y, Gu Q, Zhuo X, Lu W, Wu Y, Li Y, Feng J, Zhou S, Chen J H, Sun D 2018 Adv. Mater. 30 e1707152
[76]	Ma J, Gu Q, Liu Y, Lai J, Yu P, Zhuo X, Liu Z, Chen J H, Feng J, Sun D 2019 Nat. Mater. 18 476
[77]	Nemilentsau A, Low T, Hanson G 2016 Phys. Rev. Lett. 116 066804
[78]	Zhou J, Liu F, Lin J, Huang X, Xia J, Zhang B, Zeng Q, Wang H, Zhu C, Niu L, Wang X, Fu W, Yu P, Chang T R, Hsu C H, Wu D, Jeng H T, Huang Y, Lin H, Shen Z, Yang C, Lu L, Suenaga K, Zhou W, Pantelides S T, Liu G, Liu Z 2016 Adv. Mater. 29 1603471
[79]	Zhou L, Zubair A, Wang Z, Zhang X, Ouyang F, Xu K, Fang W, Ueno K, Li J, Palacios T, Kong J, Dresselhaus M S 2016 Adv. Mater. 28 9526
[80]	Li J, Cheng S, Liu Z, Zhang W, Chang H 2018 J. Phys. Chem. C 122 7005
[81]	Naylor C H, Parkin W M, Gao Z, Kang H, Noyan M, Wexler R B, Tan L Z, Kim Y, Kehayias C E, Streller F, Zhou Y R, Carpick R, Luo Z, Park Y W, Rappe A M, Drndić M, Kikkawa J M, Johnson A T C 2017 2D Mater. 4 021008
[82]	Chen K, Chen Z, Wan X, Zheng Z, Xie F, Chen W, Gui X, Chen H, Xie W, Xu J 2017 Adv. Mater. 29 1700704
[83]	Yang L, Zhang W, Li J, Cheng S, Xie Z, Chang H 2017 ACS Nano 11 1964
[84]	Xu X, Chen S, Liu S, Cheng X, Xu W, Li P, Wan Y, Yang S, Gong W, Yuan K, Gao P, Ye Y, Dai L 2019 J. Am. Chem. Soc. 141 2128
[85]	Zhou L, Xu K, Zubair A, Liao A D, Fang W, Ouyang F, Lee Y H, Ueno K, Saito R, Palacios T, Kong J, Dresselhaus M S 2015 J. Am. Chem. Soc. 137 11892

施引文献

图 1 石墨烯等离激元的电学调控^[7]　(a)器件示意图(上图)和石墨烯光栅结构AFM轮廓图(下图); (b)石墨烯光栅在不同门电压下的透射光谱图. 主图为入射光偏振垂直于光栅方向, 插图为偏振平行于光栅方向; (c)不同宽度光栅的等离激元频率随载流子浓度(费米面能量)的依赖关系

Fig. 1. Tunable plasmon resonance in gated plasmon ribbon array^[7]: (a) Schematic of the device (upper panel) and AFM image of a typical ribbon array (lower panel); (b) gate dependent plasmon resonance with light polarization perpendicular to the ribbon array. Inset shows the spectra with parallel light polarization; (c) normalized plasmon frequency as a function of Fermi energy and carrier density for different ribbon width.

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图 2 不同拓扑材料的能带示意图　(a)拓扑绝缘体(来自维基百科); (b)拓扑半金属(来自文献[37])

Fig. 2. Band structures for different types of topological materials: (a) Topological insulator [from Wikipedia]; (b) topological semimetals^[37].

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图 3 拓扑绝缘体薄膜上下表面狄拉克等离激元的混合模式^[43]　(a)拓扑绝缘体薄膜光学支和声学支等离激元振动示意图; (b) 6 nm厚拓扑绝缘体薄膜的两支(同相位和反相位)等离激元模式色散曲线

Fig. 3. Hybrid plasmon modes in topological insulator thin slabs^[43]: (a) Schematic of optical mode and acoustic mode; (b) plasmon dispersion in 6 nm topological insulator film.

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图 4 拓扑绝缘体等离激元的远红外和可见光远场光谱研究　(a)不同光栅宽度下拓扑绝缘体薄膜等离激元共振模式远红外吸收谱^[46]; (b)由(a)中实验得到的等离激元色散关系^[46]. 虚线和点线分别为考虑表面态电子和体载流子后计算的等离激元色散; (c)外加垂直于面的磁场后, 拓扑绝缘体薄膜光栅结构中磁性等离激元和回旋共振模式随磁场的变化关系^[47]; (d)圆环阵列结构下, 拓扑绝缘体薄膜等离激元色散关系^[48]; (e)可见到紫外波段拓扑绝缘体等离激元共振模式^[49]; (f)拓扑绝缘体薄膜光栅结构中等离激元共振模式随着薄膜厚度的依赖关系^[50]

Fig. 4. Far filed spectroscopic study of the plasmon modes in topological insulator films: (a) Extinction spectra of plasmon resonance modes in topological insulator ribbon arrays with different width; (b) plasmon dispersion extracted from Fig. (a). Fig. (a) and Fig. (b) from Ref. [46]; (c) magnetoplasmon mode and cyclotron resonance in topological insulator ribbon array as a function of external magnetic field^[47]; (d) plasmon dispersion in topological insulator microring array^[48]; (e) plasmon resonance modes of topological insulator ribbon array from visible to ultraviolet frequency range^[49]; (f) plasmon dispersion as a function of film thickness in topological insulator ribbon arrays^[50].

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图 5 拓扑绝缘体等离激元电子能量损失谱研究　(a)距离晶体边界不同位置处的能量损失谱(上图)和由上图黑线导出的介电常数(下图)^[53]; (b)高能量分辨EELS测量到的拓扑绝缘体等离激元色散模式^[54]; (c)高能量分辨EELS测量到的具有线性色散的声学支等离激元模式^[57]

Fig. 5. EELS study of plasmon modes in topological insulator: (a) EELS spectra at different spots from the edge (upper panel). Calculated permittivity from the black line (lower panel)^[53]; (b) plasmon dispersion derived from the EELS spectra with high energy resolution^[54]; (c) unusual acoustic plasmon modes with linear dispersion measured with high energy resolution EELS^[57].

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图 6 拓扑半金属等离激元研究 (a)利用EELS测量PtTe₂中体等离激元色散模式^[60]; (b)超高分辨EELS下测到的NbAs和TaAs表面等离激元模式^[61]; (c)太赫兹波段Cd₂As₃薄膜的光栅结构中等离激元的远场透射谱^[62]; (d)和(e)由WTe₂体材料单晶的反射谱得到的各向异性体等离激元频率(d)和有效质量比(e)随温度的变化^[63]

Fig. 6. Experiments of plasmons in topological semimetals: (a) Bulk plasmon dispersion in PtTe₂ measured by EELS^[60]; (b) energy loss spectra of plasmon modes in NbAs and TaAs measured by EELS^[61]; (c) transmission spectra of plasmon modes of Cd₂As₃ in THz range^[62]. (d) and (e) temperature dependence of the anisotropic bulk plasmon and effective mass ratio in WTe₂^[63].

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图 7 大面积高质量拓扑材料薄膜CVD生长　(a)—(c) CVD方法生长大面积WTe₂和MoTe₂单晶薄膜^[78]; (d), (e)利用Te化金属薄膜的方法生长大面积多晶MoTe₂薄膜^[79]

Fig. 7. Synthesis of topological material films with large area and high quality by CVD method: (a) to (c) CVD growth of large area single crystal films of WTe₂ and MoTe₂^[78]; (d) and (e) large area MoTe₂ film grown from Mo^[79].

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[1]	Brongersma M L, Shalaev V M 2010 Science 328 440
[2]	West P R, Ishii S, Naik G V, Emani N K, Shalaev V M, Boltasseva A 2010 Laser Photonics Rev. 4 795
[3]	Huang S, Song C, Zhang G, Yan H 2016 Nanophotonics 6 1191
[4]	Low T, Avouris P 2014 ACS Nano 8 1086
[5]	Chen J, Badioli M, Alonso-Gonzalez P, Thongrattanasiri S, Huth F, Osmond J, Spasenovic M, Centeno A, Pesquera A, Godignon P, Elorza A Z, Camara N, Garcia de Abajo F J, Hillenbrand R, Koppens F H 2012 Nature 487 77
[6]	Fei Z, Rodin A S, Andreev G O, Bao W, McLeod A S, Wagner M, Zhang L M, Zhao Z, Thiemens M, Dominguez G, Fogler M M, Castro Neto A H, Lau C N, Keilmann F, Basov D N 2012 Nature 487 82
[7]	Ju L, Geng B, Horng J, Girit C, Martin M, Hao Z, Bechtel H A, Liang X, Zettl A, Shen Y R, Wang F 2011 Nat. Nanotechnol. 6 630
[8]	Jia W, Ren P W, Tian Y C, Fan C Z 2019 Chin. Phys. B 28 026102
[9]	Ding G W, Liu S B, Zhang H F, Kong X K, Li H M, Li B X, Liu S Y, Li H 2015 Chin. Phys. B 24 118103
[10]	Das Sarma S, Hwang E H 2009 Phys. Rev. Lett. 102 206412
[11]	Zhang H, Liu C X, Qi X L, Dai X, Fang Z, Zhang S C 2009 Nat. Phys. 5 438
[12]	Wang Z H, Gao X P A, Zhang Z D 2018 Chin. Phys. B 27 107901
[13]	Liu Z K, Zhou B, Zhang Y, Wang Z J, Weng H M, Prabhakaran D, Mo S K, Shen Z X, Fang Z, Dai X, Hussain Z, Chen Y L 2014 Science 343 864
[14]	Borisenko S, Gibson Q, Evtushinsky D, Zabolotnyy V, Büchner B, Cava R J 2014 Phys. Rev. Lett. 113 027603
[15]	Neupane M, Xu S Y, Sankar R, Alidoust N, Bian G, Liu C, Belopolski I, Chang T R, Jeng H T, Lin H, Bansil A, Chou F, Hasan M Z 2014 Nat. Commun. 5 3786
[16]	Liu Z K, Jiang J, Zhou B, Wang Z J, Zhang Y, Weng H M, Prabhakaran D, Mo S K, Peng H, Dudin P, Kim T, Hoesch M, Fang Z, Dai X, Shen Z X, Feng D L, Hussain Z, Chen Y L 2014 Nat. Mater. 13 677
[17]	Li Q, Kharzeev D E, Zhang C, Huang Y, Pletikosić I, Fedorov A V, Zhong R D, Schneeloch J A, Gu G D, Valla T 2016 Nat. Phys. 12 550
[18]	Wang Z, Sun Y, Chen X Q, Franchini C, Xu G, Weng H, Dai X, Fang Z 2012 Phys. Rev. B 85 195320
[19]	Burkov A A, Balents L 2011 Phys. Rev. Lett. 107 127205
[20]	Halász G B, Balents L 2012 Phys. Rev. B 85 035103
[21]	Huang S M, Xu S Y, Belopolski I, Lee C C, Chang G, Wang B, Alidoust N, Bian G, Neupane M, Zhang C, Jia S, Bansil A, Lin H, Hasan M Z 2015 Nat. Commun. 6 7373
[22]	Weng H, Fang C, Fang Z, Bernevig B A, Dai X 2015 Phys. Rev. X 5 011029
[23]	Souma S, Wang Z, Kotaka H, Sato T, Nakayama K, Tanaka Y, Kimizuka H, Takahashi T, Yamauchi K, Oguchi T, Segawa K, Ando Y 2016 Phys. Rev. B 93 161112
[24]	Lv B Q, Weng H M, Fu B B, Wang X P, Miao H, Ma J, Richard P, Huang X C, Zhao L X, Chen G F, Fang Z, Dai X, Qian T, Ding H 2015 Phys. Rev. X 5 031013
[25]	Xu S Y, Belopolski I, Alidoust N, Neupane M, Bian G, Zhang C, Sankar R, Chang G, Yuan Z, Lee C C, Huang S M, Zheng H, Ma J, Sanchez D S, Wang B, Bansil A, Chou F, Shibayev P P, Lin H, Jia S, Hasan M Z 2015 Science 349 613
[26]	Xu S Y, Alidoust N, Belopolski I, Yuan Z, Bian G, Chang T-R, Zheng H, Strocov V N, Sanchez D S, Chang G, Zhang C, Mou D, Wu Y, Huang L, Lee C C, Huang S M, Wang B, Bansil A, Jeng H T, Neupert T, Kaminski A, Lin H, Jia S, Zahid Hasan M 2015 Nat. Phys. 11 748
[27]	Xu S Y, Belopolski I, Sanchez D S, Zhang C, Chang G, Guo C, Bian G, Yuan Z, Lu H, Chang T R, Shibayev P P, Prokopovych M L, Alidoust N, Zheng H, Lee C C, Huang S M, Sankar R, Chou F, Hsu C H, Jeng H T, Bansil A, Neupert T, Strocov V N, Lin H, Jia S, Hasan M Z 2015 Sci. Adv. 1 e1501092
[28]	Burkov A A, Hook M D, Balents L 2011 Phys. Rev. B 84 235126
[29]	Fang C, Weng H, Dai X, Fang Z 2016 Chin. Phys. B 25 117106
[30]	Wu Y, Wang L L, Mun E, Johnson D D, Mou D, Huang L, Lee Y, Bud’ko S L, Canfield P C, Kaminski A 2016 Nat. Phys. 12 667
[31]	Schoop L M, Ali M N, Strasser C, Topp A, Varykhalov A, Marchenko D, Duppel V, Parkin S S, Lotsch B V, Ast C R 2016 Nat. Commun. 7 11696
[32]	Neupane M, Belopolski I, Hosen M M, Sanchez D S, Sankar R, Szlawska M, Xu S Y, Dimitri K, Dhakal N, Maldonado P, Oppeneer P M, Kaczorowski D, Chou F, Hasan M Z, Durakiewicz T 2016 Phys. Rev. B 93 201104
[33]	Hu J, Tang Z, Liu J, Liu X, Zhu Y, Graf D, Myhro K, Tran S, Lau C N, Wei J, Mao Z 2016 Phys. Rev. Lett. 117 016602
[34]	Bian G, Chang T R, Sankar R, Xu S Y, Zheng H, Neupert T, Chiu C K, Huang S M, Chang G, Belopolski I, Sanchez D S, Neupane M, Alidoust N, Liu C, Wang B, Lee C C, Jeng H T, Zhang C, Yuan Z, Jia S, Bansil A, Chou F, Lin H, Hasan M Z 2016 Nat. Commun. 7 10556
[35]	Feng B, Fu B, Kasamatsu S, Ito S, Cheng P, Liu C C, Feng Y, Wu S, Mahatha S K, Sheverdyaeva P, Moras P, Arita M, Sugino O, Chiang T C, Shimada K, Miyamoto K, Okuda T, Wu K, Chen L, Yao Y, Matsuda I 2017 Nat. Commun. 8 1007
[36]	Song H D, Sheng D, Wang A Q, Li J G, Yu D P, Liao Z M 2017 Chin. Phys. B 26 037301
[37]	Wang H, Wang J 2018 Chin. Phys. B 27 107402
[38]	Ali M N, Xiong J, Flynn S, Tao J, Gibson Q D, Schoop L M, Liang T, Haldolaarachchige N, Hirschberger M, Ong N P, Cava R J 2014 Nature 514 205
[39]	Huang X, Zhao L, Long Y, Wang P, Chen D, Yang Z, Liang H, Xue M, Weng H, Fang Z, Dai X, Chen G 2015 Phys. Rev. X 5 031023
[40]	Xu X T, Jia S 2016 Chin. Phys. B 25 117204
[41]	Liang T, Lin J, Gibson Q, Kushwaha S, Liu M, Wang W, Xiong H, Sobota J A, Hashimoto M, Kirchmann P S, Shen Z X, Cava R J, Ong N P 2018 Nat. Phys. 14 451
[42]	Burkov A A 2014 Phys. Rev. Lett. 113 187202
[43]	Stauber T, Gómez-Santos G, Brey L 2013 Phys. Rev. B 88 205427
[44]	Stauber T, Gómez-Santos G, Brey L 2017 ACS Photonics 4 2978
[45]	Stauber T 2014 J. Phys. Condens. Matter 26 123201
[46]	Di Pietro P, Ortolani M, Limaj O, Di Gaspare A, Giliberti V, Giorgianni F, Brahlek M, Bansal N, Koirala N, Oh S, Calvani P, Lupi S 2013 Nat. Nanotechnol. 8 556
[47]	Autore M, Engelkamp H, D’Apuzzo F, Gaspare A D, Pietro P D, Vecchio I L, Brahlek M, Koirala N, Oh S, Lupi S 2015 ACS Photonics 2 1231
[48]	Autore M, D’Apuzzo F, Di Gaspare A, Giliberti V, Limaj O, Roy P, Brahlek M, Koirala N, Oh S, García de Abajo F J, Lupi S 2015 Adv. Opt. Mater. 3 1257
[49]	Ou J Y, So J K, Adamo G, Sulaev A, Wang L, Zheludev N I 2014 Nat. Commun. 5 5139
[50]	Ginley T P, Law S 2018 Adv. Opt. Mater. 6 1800113
[51]	Autore M, Giorgianni F, D’Apuzzo F, Di Gaspare A, Lo Vecchio I, Brahlek M, Koirala N, Oh S, Schade U, Ortolani M, Lupi S 2016 Nanoscale 8 4667
[52]	Nascimento V B, de Carvalho V E, Paniago R, Soares E A, Ladeira L O, Pfannes H D 1999 J. Electron. Spectrosc. Relat. Phenom. 104 99
[53]	Liou S C, Chu M W, Sankar R, Huang F T, Shu G J, Chou F C, Chen C H 2013 Phys. Rev. B 87 085126
[54]	Politano A, Silkin V M, Nechaev I A, Vitiello M S, Viti L, Aliev Z S, Babanly M B, Chiarello G, Echenique P M, Chulkov E V 2015 Phys. Rev. Lett. 115 216802
[55]	Kogar A, Vig S, Thaler A, Wong M H, Xiao Y, Reig-i-Plessis D, Cho G Y, Valla T, Pan Z, Schneeloch J, Zhong R, Gu G D, Hughes T L, MacDougall G J, Chiang T C, Abbamonte P 2015 Phys. Rev. Lett. 115 257402
[56]	Jia X, Zhang S, Sankar R, Chou F C, Wang W, Kempa K, Plummer E W, Zhang J, Zhu X, Guo J 2017 Phys. Rev. Lett. 119 136805
[57]	Zhu X, Cao Y, Zhang S, Jia X, Guo Q, Yang F, Zhu L, Zhang J, Plummer E W, Guo J 2015 Rev. Sci. Instrum. 86 083902
[58]	Hofmann J, Das Sarma S 2016 Phys. Rev. B 93 241402
[59]	Zhou J, Chang H R, Xiao D 2015 Phys. Rev. B 91 035114
[60]	Politano A, Chiarello G, Ghosh B, Sadhukhan K, Kuo C N, Lue C S, Pellegrini V, Agarwal A 2018 Phys. Rev. Lett. 121 086804
[61]	Chiarello G, Hofmann J, Li Z, Fabio V, Guo L, Chen X, Das Sarma S, Politano A 2019 Phys. Rev. B 99 121401
[62]	Ashish Chanana N L, Hugo O, Condori Quispe, Prashanth Gopalan, Joshua R, Winger S B, Ajay Nahata, Vikram Deshpande, Michael A Scarpulla, Berardi, Sensale-Rodriguez 2018 arXiv:1811.04306
[63]	Frenzel A J, Homes C C, Gibson Q D, Shao Y M, Post K W, Charnukha A, Cava R J, Basov D N 2017 Phys. Rev. B 95 245140
[64]	Basov D N, Fogler M M, García de Abajo F J 2016 Science 354 aag1992
[65]	Soluyanov A A, Gresch D, Wang Z, Wu Q, Troyer M, Dai X, Bernevig B A 2015 Nature 527 495
[66]	Deng K, Wan G, Deng P, Zhang K, Ding S, Wang E, Yan M, Huang H, Zhang H, Xu Z, Denlinger J, Fedorov A, Yang H, Duan W, Yao H, Wu Y, Fan S, Zhang H, Chen X, Zhou S 2016 Nat. Phys. 12 1105
[67]	Haubold E, Koepernik K, Efremov D, Khim S, Fedorov A, Kushnirenko Y, van den Brink J, Wurmehl S, Büchner B, Kim T K, Hoesch M, Sumida K, Taguchi K, Yoshikawa T, Kimura A, Okuda T, Borisenko S V 2017 Phys. Rev. B 95 241108
[68]	Yankowitz M, Ma Q, Jarillo-Herrero P, LeRoy B J 2019 Nat. Rev. Phys. 1 112
[69]	Wang L, Meric I, Huang P Y, Gao Q, Gao Y, Tran H, Taniguchi T, Watanabe K, Campos L M, Muller D A, Guo J, Kim P, Hone J, Shepard K L, Dean C R 2013 Science 342 614
[70]	Ni G X, McLeod A S, Sun Z, Wang L, Xiong L, Post K W, Sunku S S, Jiang B Y, Hone J, Dean C R, Fogler M M, Basov D N 2018 Nature 557 530
[71]	Yan Z, Huang P W, Wang Z 2016 Phys. Rev. B 93 085138
[72]	Long Z, Wang Y, Erukhimova M, Tokman M, Belyanin A 2018 Phys. Rev. Lett. 120 037403
[73]	Song J C W, Rudner M S 2017 Phys. Rev. B 96 205443
[74]	Hofmann J, Das Sarma S 2015 Phys. Rev. B 91 241108
[75]	Lai J, Liu X, Ma J, Wang Q, Zhang K, Ren X, Liu Y, Gu Q, Zhuo X, Lu W, Wu Y, Li Y, Feng J, Zhou S, Chen J H, Sun D 2018 Adv. Mater. 30 e1707152
[76]	Ma J, Gu Q, Liu Y, Lai J, Yu P, Zhuo X, Liu Z, Chen J H, Feng J, Sun D 2019 Nat. Mater. 18 476
[77]	Nemilentsau A, Low T, Hanson G 2016 Phys. Rev. Lett. 116 066804
[78]	Zhou J, Liu F, Lin J, Huang X, Xia J, Zhang B, Zeng Q, Wang H, Zhu C, Niu L, Wang X, Fu W, Yu P, Chang T R, Hsu C H, Wu D, Jeng H T, Huang Y, Lin H, Shen Z, Yang C, Lu L, Suenaga K, Zhou W, Pantelides S T, Liu G, Liu Z 2016 Adv. Mater. 29 1603471
[79]	Zhou L, Zubair A, Wang Z, Zhang X, Ouyang F, Xu K, Fang W, Ueno K, Li J, Palacios T, Kong J, Dresselhaus M S 2016 Adv. Mater. 28 9526
[80]	Li J, Cheng S, Liu Z, Zhang W, Chang H 2018 J. Phys. Chem. C 122 7005
[81]	Naylor C H, Parkin W M, Gao Z, Kang H, Noyan M, Wexler R B, Tan L Z, Kim Y, Kehayias C E, Streller F, Zhou Y R, Carpick R, Luo Z, Park Y W, Rappe A M, Drndić M, Kikkawa J M, Johnson A T C 2017 2D Mater. 4 021008
[82]	Chen K, Chen Z, Wan X, Zheng Z, Xie F, Chen W, Gui X, Chen H, Xie W, Xu J 2017 Adv. Mater. 29 1700704
[83]	Yang L, Zhang W, Li J, Cheng S, Xie Z, Chang H 2017 ACS Nano 11 1964
[84]	Xu X, Chen S, Liu S, Cheng X, Xu W, Li P, Wan Y, Yang S, Gong W, Yuan K, Gao P, Ye Y, Dai L 2019 J. Am. Chem. Soc. 141 2128
[85]	Zhou L, Xu K, Zubair A, Liao A D, Fang W, Ouyang F, Lee Y H, Ueno K, Saito R, Palacios T, Kong J, Dresselhaus M S 2015 J. Am. Chem. Soc. 137 11892

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拓扑材料等离激元谱学研究

复旦大学物理系, 上海　200438

通信作者: 王冲, wangchong_01@126.com ; 晏湖根, hgyan@fudan.edu.cn

基金项目: 国家自然科学基金青年科学基金(批准号: 11704075)和中国博士后科学基金资助的课题

收稿日期: 2019-07-17

修回日期: 2019-10-08

上网日期: 2019-11-01

刊出日期: 2019-11-20

摘要: 等离激元光子学是现代光电子科学重要的组成部分. 除了传统的基于贵金属的等离激元研究, 随着新材料的快速发展, 越来越多具有新颖的等离激元性质的材料被发现. 典型的例子是具有高局域性和可调节性的石墨烯等离激元. 随着拓扑理论和实验的快速发展, 与石墨烯一样具有狄拉克线性色散的拓扑材料的等离激元光谱研究也取得了长足的进步. 本文首先介绍拓扑绝缘体和拓扑半金属的等离激元的谱学实验进展, 特别是光谱方面的进展. 随后对更多的有潜力适合二维等离激元研究的拓扑材料进行了展望.

关键词:

Spectroscopic studies of plasmons in topological materials

Department of Physics, Fudan University, Shanghai 200438, China

Corresponding author: Wang Chong, wangchong_01@126.com ; Yan Hu-Gen, hgyan@fudan.edu.cn

Fund Project: Project supported by the Young Scientists Fund of the National Natural Science Foundation of China (Grant No. 11704075) and the China Postdoctoral Science Foundation.

Received Date: 17 July 2019

Accepted Date: 08 October 2019

Available Online: 01 November 2019

Published Online: 20 November 2019

Abstract: Plasmonics plays an important role in the development of nanophotonics, which allows breaking diffraction limit and controlling light in deep-subwavelength scale due to the strong interaction between light and free carriers. Noble metals and 2-dimensional electron gas have been the main platforms for studying plasmonics over the past decade. The metal-based plasmonic devices have exhibited great potential in various applications, including integrated photonic systems, biological sensing, super-resolution imaging and surface-enhanced Raman scattering, etc. Because of the high carrier density, plasmons of noble metals are realized in the near-infrared to visible frequency range. With the rapid development of new materials, many other plasmonic materials are discovered to exhibit new properties. One example is the graphene plasmons working in the mid-infrared and terahertz spectral range, which exhibit strong field confinement and frequency tunability due to the massless Dirac fermions and other exotic electrical and optical properties. Recently, topological materials, the band structures of which are composed of cones with linear dispersion like in graphene, are discovered, such as the topological insulators, Dirac semimetals, Weyl semimetals and nodal line semimetals, providing another platform to study the Dirac plasmons. Such linear dispersion results in small electron mass and unique carrier density dependence of plasmons. In addition, topological materials possess a tremendous amount of exotic electron properties, such as the ultrahigh mobility, topological surface states and chiral anomaly in Weyl semimetals, etc. Many of these electronic properties can be inherited by the collective oscillation of free electrons, promising new possibility for plasmonics. Here, the experimental observations of plasmons in topological insulators and topological semimetals are reviewed, with special focus on the studies based on electron energy loss spectrum and Fourier transform infrared spectroscopy. At the end, other topological materials with potential for hosting 2D plasmons are discussed. This review provides an overview of plasmons in topological semimetals and may stimulate further quest of more exotic features for plasmons.

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