Two-dimensional topological semimetals

doi:10.1088/1674-1056/ac1f0c

Abstract The field of two-dimensional topological semimetals, which emerged at the intersection of two-dimensional materials and topological materials, has been rapidly developing in recent years. In this article, we briefly review the progress in this field. Our focus is on the basic concepts and notions, in order to convey a coherent overview of the field. Some material examples are discussed to illustrate the concepts. We discuss the outstanding problems in the field that need to be addressed in future research.

Keywords: topological semimetals two-dimensional materials electronic structures

Received: 24 March 2021
Revised: 03 July 2021
Accepted manuscript online: 19 August 2021

PACS:

73.22.-f

(Electronic structure of nanoscale materials and related systems)

Fund: Project supported by the Singapore Ministry of Education AcRF Tier 2 (Grant No. MOE2019-T2-1-101).

Corresponding Authors: Weikang Wu
E-mail: weikang.wu@ntu.edu.sg

Cite this article:

Xiaolong Feng(冯晓龙), Jiaojiao Zhu(朱娇娇), Weikang Wu(吴维康), and Shengyuan A. Yang(杨声远) Two-dimensional topological semimetals 2021 Chin. Phys. B 30 107304

[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] Zhou J, Shen L, Costa M D, Persson K A, Ong S P, Huck P, Lu Y, Ma X, Chen Y, Tang H and Feng Y P 2019 Sci. Data 6 86
[3] Klitzing K, Dorda G and Pepper M 1980 Phys. Rev. Lett. 45 494
[4] Thouless D J, Kohmoto M, Nightingale M P and den Nijs M 1982 Phys. Rev. Lett. 49 405
[5] Prange R E and Girvin S M 1990 The Quantum Hall Effect (New York: Springer)
[6] Kane C L and Mele E J 2005 Phys. Rev. Lett. 95 146802
[7] Kane C L and Mele E J 2005 Phys. Rev. Lett. 95 226801
[8] Hasan M Z and Kane C L 2010 Rev. Mod. Phys. 82 3045
[9] Qi X L and Zhang S C 2011 Rev. Mod. Phys. 83 1057
[10] Shen S Q 2012 Topological Insulators: Dirac Equation in Condensed Matters (Berlin: Springer)
[11] Bernevig B A and Hughes T L 2013 Topological Insulators and Topological Superconductors (Cambridge: Princeton University Press)
[12] Wan X, Turner A M, Vishwanath A and Savrasov S Y 2011 Phys. Rev. B 83 205101
[13] Chiu C K, Teo J C, Schnyder A P and Ryu S 2016 Rev. Mod. Phys. 88 035005
[14] Bansil A, Lin H and Das T 2016 Rev. Mod. Phys. 88 021004
[15] Armitage N P, Mele E J and Vishwanath A 2018 Rev. Mod. Phys. 90 015001
[16] Neto A H C, Guinea F, Peres N M R, Novoselov K S and Geim A K 2009 Rev. Mod. Phys. 81 109
[17] Dirac P A M 1928 Proc. R. Soc. London A. 117 610
[18] Weyl H 1929 Proc. Natl. Acad. Sci. USA 15 323
[19] Yang S A 2016 SPIN 06 1640003
[20] Qian X, Liu J, Fu L and Li J 2014 Science 346 1344
[21] Young S M and Kane C L 2015 Phys. Rev. Lett. 115 126803
[22] Soluyanov A A, Gresch D, Wang Z, Wu Q, Troyer M, Dai X and Bernevig B A 2015 Nature 527 495
[23] Xu Y, Zhang F and Zhang C 2015 Phys. Rev. Lett. 115 265304
[24] Li S, Yu Z M, Liu Y, Guan S, Wang S S, Zhang X, Yao Y and Yang S A 2017 Phys. Rev. B 96 081106(R)
[25] Zhang X, Yu Z M, Lu Y, Sheng X L, Yang H Y and Yang S A 2018 Phys. Rev. B 97 125143
[26] Li S, Yu Z M, Yao Y and Yang S A 2020 Front. Phys. 15 43201
[27] Xu G, Weng H, Wang Z, Dai X and Fang Z 2011 Phys. Rev. Lett. 107 186806
[28] Fang C, Gilbert M J, Dai X and Bernevig B A 2012 Phys. Rev. Lett. 108 266802
[29] Yang B J and Nagaosa N 2014 Nat. Commun. 5 4898
[30] Gao Z, Hua M, Zhang H and Zhang X 2016 Phys. Rev. B 93 205109
[31] Wu W, Yu Z M, Zhou X, Zhao Y X and Yang S A 2020 Phys. Rev. B 101 205134
[32] Yu Z M, Zhang Z, Liu G B, Wu W, Li X P, Zhang R W, Yang S A and Yao Y 2021 arXiv: 2102.01517v2
[33] Yu Z M, Wu W, Sheng X L, Zhao Y X and Yang S A 2019 Phys. Rev. B 99 121106(R)
[34] Zhang Z, Yu Z M and Yang S A 2021 Phys. Rev. B 103 115112
[35] Zhu L, Wang S S, Guan S, Liu Y, Zhang T, Chen G and Yang S A 2016 Nano Lett. 16 6548
[36] Wang S S, Liu Y, Yu Z M, Sheng X L, Zhu L, Guan S and Yang S A 2018 Phys. Rev. Materials 2 104003
[37] Hua C, Li S, Xu Z, Zheng Y, Yang S A and Lu Y 2020 Adv. Sci. 7 1901939
[38] Lu Y, Zhou D, Chang G, Guan S, Chen W, Jiang Y, Jiang J, Wang X S, Yang S A, Feng Y P, Kawazoe Y and Lin H 2016 npj Comput. Mater. 2 16011
[39] Xiao D, Yao W and Niu Q 2007 Phys. Rev. Lett. 99 236809
[40] Yao W, Xiao D and Niu Q 2008 Phys. Rev. B 77 235406
[41] Cai T, Yang S A, Li X, Zhang F, Shi J, Yao W and Niu Q 2013 Phys. Rev. B 88 115140
[42] Malko D, Neiss C, Viñes F and Görling A 2012 Phys. Rev. Lett. 108 086804
[43] Zhou X F, Dong X, Oganov A R, Zhu Q, Tian Y and Wang H T 2014 Phys. Rev. Lett. 112 085502
[44] Liu G, Liu S B, Xu B, Ouyang C Y, Song H Y, Guan S and Yang S A 2015 J. Phys. Chem. Lett. 6 4936
[45] Yu Z M, Yao Y and Yang S A 2016 Phys. Rev. Lett. 117 077202
[46] Guan S, Yu Z M, Liu Y, Liu G B, Dong L, Lu Y, Yao Y and Yang S A 2017 npj Quantum Mater. 2 23
[47] O’Brien T, Diez M and Beenakker C 2016 Phys. Rev. Lett. 116 236401
[48] Tchoumakov S, Civelli M and Goerbig M O 2016 Phys. Rev. Lett. 117 086402
[49] Udagawa M and Bergholtz E 2016 Phys. Rev. Lett. 117 086401
[50] Wu W, Jiao Y, Li S, Sheng X L, Yu Z M and Yang S A 2019 Phys. Rev. Materials 3 054203
[51] You J Y, Chen C, Zhang Z, Sheng X L, Yang S A and Su G 2019 Phys. Rev. B 100 064408
[52] Min H, Hill J E, Sinitsyn N A, Sahu B R, Kleinman L and MacDonald A H 2006 Phys. Rev. B 74 165310
[53] Yao Y, Ye F, Qi X L, Zhang S C and Fang Z 2007 Phys. Rev. B 75 041401(R)
[54] Guan S, Liu Y, Yu Z M, Wang S S, Yao Y and Yang S A 2017 Phys. Rev. Materials 1 054003
[55] Pan H, Li X, Qiao Z, Liu C C, Yao Y and Yang S A 2014 New J. Phys. 16 123015
[56] Kowalczyk P J, Brown S A, Maerkl T, Lu Q, Chiu C K, Liu Y, Yang S A, Wang X, Zasada I, Genuzio F, Menteş T O, Locatelli A, Chiang T C and Bian G 2020 ACS Nano 14 1888
[57] Chen C, Wang S S, Liu L, Yu Z M, Sheng X L, Chen Z and Yang S A 2017 Phys. Rev. Materials 1 044201
[58] Kennett M P, Komeilizadeh N, Kaveh K and Smith P M 2011 Phys. Rev. A 83 053636
[59] Roy B, Smith P M and Kennett M P 2012 Phys. Rev. B 85 235119
[60] Komeilizadeh N and Kennett M P 2014 Phys. Rev. B 90 045131
[61] Hu J, Wu W, Zhong C, Liu N, Ouyang C, Yang H Y and Yang S A 2019 Carbon 141 417
[62] Jin Y, Zheng B, Xiao X, Chen Z, Xu Y and Xu H 2020 Phys. Rev. Lett. 125 116402
[63] Damljanović V, Popov I and Gajić R 2017 Nanoscale 9 19337
[64] Pardo V and Pickett W E 2009 Phys. Rev. Lett. 102 166803
[65] Shen R, Shao L B, Wang B and Xing D Y 2010 Phys. Rev. B 81 041410(R)
[66] Goldman N, Urban D F and Bercioux D 2011 Phys. Rev. A 83 063601
[67] Paavilainen S, Ropo M, Nieminen J, Akola J and Räsänen E 2016 Nano Lett. 16 3519
[68] Urban D F, Bercioux D, Wimmer M and Häusler W 2011 Phys. Rev. B 84 115136
[69] Fang A, Zhang Z Q, Louie S G and Chan C T 2016 Phys. Rev. B 93 035422
[70] Feng X, Liu Y, Yu Z M, Ma Z, Ang L K, Ang Y S and Yang S A 2020 Phys. Rev. B 101 235417
[71] Lu J L, Luo W, Li X Y, Yang S Q, Cao J X, Gong X G and Xiang H J 2017 Chin. Phys. Lett. 34 057302
[72] Niu C, Buhl P M, Bihlmayer G, Wortmann D, Dai Y, Blügel S and Mokrousov Y 2017 Phys. Rev. B 95 235138
[73] Jin Y J, Wang R, Zhao J Z, Du Y P, Zheng C D, Gan L Y, Liu J F, Xu H and Tong S Y 2017 Nanoscale 9 13112
[74] Chen H, Zhang S, Jiang W, Zhang C, Guo H, Liu Z, Wang Z, Liu F and Niu X 2018 J. Mater. Chem. A 6 11252
[75] Zhang R W, Liu C C, Ma D S and Yao Y 2018 Phys. Rev. B 97 125312
[76] Zhong C, Wu W, He J, Ding G, Liu Y, Li D, Yang S A and Zhang G 2019 Nanoscale 11 2468
[77] 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 and Matsuda I 2017 Nat. Commun. 8 1007
[78] Gao L, Sun J T, Lu J C, Li H, Qian K, Zhang S, Zhang Y Y, Qian T, Ding H, Lin X, Du S and Gao H J 2018 Adv. Mater. 30 1707055
[79] Guo H, Zhao J, Chen C, Li S, Jiang W, Fan H, Tian X and Yang S A 2020 J. Mater. Sci. 55 14883
[80] Yu Z M, Wu W, Zhao Y X and Yang S A 2019 Phys. Rev. B 100 041118(R)
[81] Wu W, Liu Y, Li S, Zhong C, Yu Z M, Sheng X L, Zhao Y X and Yang S A 2018 Phys. Rev. B 97 115125
[82] Wang Z F, Liu B and Zhu W 2019 Phys. Rev. Lett. 123 126403
[83] Wieder B J and Kane C L 2016 Phys. Rev. B 94 155108
[84] Guo D, Guo P, Tan S, Feng M, Cao L, Liu Z, Liu K, Lu Z Y and Ji W 2020 arXiv: 2012.15218v1
[85] Cui X, Li Y, Guo D, Guo P, Lou C, Mei G, Lin C, Tan S, Liu Z, Liu K, Lu Z Y, Petek H, Cao L, Ji W and Feng M 2020 arXiv: 2012.15220v1
[86] Wang J 2017 Phys. Rev. B 95 115138
[87] Young S M and Wieder B J 2017 Phys. Rev. Lett. 118 186401
[88] Li S, Liu Y, Yu Z M, Jiao Y, Guan S, Sheng X L, Yao Y and Yang S A 2019 Phys. Rev. B 100 205102
[89] Wang S S, Yu Z M, Liu Y, Jiao Y, Guan S, Sheng X L and Yang S A 2019 Phys. Rev. Materials 3 084201
[90] He T, Zhang X, Liu Y, Dai X, Liu G, Yu Z M and Yao Y 2020 Phys. Rev. B 102 075133
[91] Li X Y, Zhang M H, Ren M J and Zhang C W 2020 Phys. Chem. Chem. Phys. 22 27024
[92] Zhou X, Zhang R W, Zhang Z, Ma D S, Feng W, Mokrousov Y and Yao Y 2019 J. Phys. Chem. Lett. 10 3101
[93] Tai B, Wu W, Feng X, Jiao Y, Zhao J, Lu Y, Sheng X L and Yang S A 2020 Phys. Rev. B 102 224422
[94] Jeon S, Oh Y T and Kim Y 2018 Phys. Rev. B 100 035406
[95] Jin L, Zhang X, Liu Y, Dai X, Shen X, Wang L and Liu G 2020 Phys. Rev. B 102 125118
[96] Feng B, Zhang R W, Feng Y, Fu B, Wu S, Miyamoto K, He S, Chen L, Wu K, Shimada K, Okuda T and Yao Y 2019 Phys. Rev. Lett. 123 116401
[97] Yang S A, Pan H and Zhang F 2014 Phys. Rev. Lett. 113 046401
[98] Weng H, Liang Y, Xu Q, Yu R, Fang Z, Dai X and Kawazoe Y 2015 Phys. Rev. B 92 045108
[99] Yao W, Yang S A and Niu Q 2009 Phys. Rev. Lett. 102 096801
[100] Zhang T, Jiang Y, Song Z, Huang H, He Y, Fang Z, Weng H and Fang C 2019 Nature 566 475
[101] Vergniory M G, Elcoro L, Felser C, Regnault N, Bernevig B A and Wang Z 2019 Nature 566 480
[102] Tang F, Po H C, Vishwanath A and Wan X 2019 Nature 566 486
[103] Wang Z, Sun Y, Chen X Q, Franchini C, Xu G, Weng H, Dai X and Fang Z 2012 Phys. Rev. B 85 195320
[104] Wang Z, Weng H, Wu Q, Dai X and Fang Z 2013 Phys. Rev. B 88 125427

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