|
|
High Chern number phase in topological insulator multilayer structures: A Dirac cone model study |
Yi-Xiang Wang(王义翔)1,2,† and Fu-Xiang Li(李福祥)2,‡ |
1 School of Science, Jiangnan University, Wuxi 214122, China; 2 School of Physics and Electronics, Hunan University, Changsha 410082, China |
|
|
Abstract We employ the Dirac cone model to explore the high Chern number (C) phases that are realized in the magnetic-doped topological insulator (TI) multilayer structures by Zhao et al. [Nature 588 419 (2020)]. The Chern number is calculated by capturing the evolution of the phase boundaries with the parameters, then the Chern number phase diagrams of the TI multilayer structures are obtained. The high-C behavior is attributed to the band inversion of the renormalized Dirac cones, along with which the spin polarization at the $\varGamma$ point will get increased. Moreover, another two TI multilayer structures as well as the TI superlattice structures are studied.
|
Received: 06 April 2022
Revised: 25 April 2022
Accepted manuscript online: 28 April 2022
|
PACS:
|
05.30.Fk
|
(Fermion systems and electron gas)
|
|
73.20.-r
|
(Electron states at surfaces and interfaces)
|
|
81.30.Bx
|
(Phase diagrams of metals, alloys, and oxides)
|
|
68.65.Ac
|
(Multilayers)
|
|
Fund: This work was supported by the National Natural Science Foundation of China (Grant Nos. 11804122 and 11905054), the China Postdoctoral Science Foundation (Grant No. 2021M690970), and the Fundamental Research Funds for the Central Universities of China. |
Corresponding Authors:
Yi-Xiang Wang, Fu-Xiang Li
E-mail: wangyixiang@jiangnan.edu.cn;fuxiangli@hnu.edu.cn
|
Cite this article:
Yi-Xiang Wang(王义翔) and Fu-Xiang Li(李福祥) High Chern number phase in topological insulator multilayer structures: A Dirac cone model study 2022 Chin. Phys. B 31 090501
|
[1] Thouless D J, Kohmoto M, Nightingale M P and Nijs M den 1982 Phys. Rev. Lett. 49 405 [2] Haldane F D M 1988 Phys. Rev. Lett. 61 2015 [3] Qi X L, Hughes T L and Zhang S C 2008 Phys. Rev. B 78 195424 [4] Chang C Z, Zhang J, Feng X, Shen J, Zhang Z, Guo M, Li K, Ou Y, Wei P, Wang L L, Ji Z Q, Feng Y, Ji S, Chen X, Jia J, Dai X, Fang Z, Zhang S C, He K, Wang Y, Lu L, Ma X C and Xue Q K 2013 Science 340 167 [5] Yu R, Zhang W, Zhang H J, Zhang S C, Dai X and Fang Z 2010 Science 329 61 [6] Chen Y L, Chu J H, Analytis J G, Liu Z K, Igarashi K, Kuo H H, Qi X L, Mo S K, Moore R G, Lu D H, Hashimoto M, Sasagawa T, Zhang S C, Fisher I R, Hussain Z and Shen Z X 2010 Science 329 659 [7] Zhang J, Zhao B, Zhou T and Yang Z 2016 Chin. Phys. B 25 117308 [8] Kou X, Pan L, Wang J, Fan Y, Choi E S, Lee W L, Nie T, Murata K, Shao Q, Zhang S C and Wang K L 2015 Nat. Commun. 6 8474 [9] Checkelsky J G, Yoshimi R, Tsukazaki A, Takahashi K S, Kozuka Y, Falson J, Kawasaki M and Tokura Y 2014 Nat. Phys. 10 731 [10] Feng Y, Feng X, Ou Y, Wang J, Liu C, Zhang L, Zhao D, Jiang T, Zhang S C, He K, Ma X, Xue Q K and Wang Y 2015 Phys. Rev. Lett. 115 126801 [11] Kou X, Guo S T, Fan Y, Pan L, Lang M, Jiang Y, Shao Q, Nie T, Murata K, Tang J, Wang Y, He L, Lee T K, Lee W L and Wang K L 2014 Phys. Rev. Lett. 113 137201 [12] Chang C Z, Zhao W, Kim D Y, Zhang H, Assaf B A, Heiman D, Zhang S C, Liu C, Chan M H W and Moodera J S 2015 Nat. Mater. 14 473 [13] Rienks E D L, Wimmer S, Sánchez-Barriga J, Caha O, Mandal P S, Ruzicka J, Ney A, Steiner H, Volobuev V V, Groiss H, Albu M, Kothleitner G, Michalicka J, Khan S A, Minár J, Ebert H, Bauer G, Freyse F, Varykhalov A, Rader O and Springholz G 2019 Nature 576 423 [14] Deng H, Chen Z, Woloś A, Konczykowski M, Sobczak K, Sitnicka J, Fedorchenko I V, Borysiuk J, Heider T, Pluciński L, Park K, Georgescu A B, Cano J and Krusin-Elbaum L 2021 Nat. Phys. 17 36 [15] Zhao Y F, Zhang R, Mei R, Zhou L, Yi H, Zhang Y Q, Yu J, Xiao R, Wang K, Samarth N, Chan M H W, Liu C X and Chang C Z 2020 Nature 588 419 [16] Wang Y X and Li F 2021 Phys. Rev. B 104 035202 [17] Zhang H, Liu C X, Qi X L, Dai X, Fang Z and Zhang S C 2009 Nat. Phys. 5 438 [18] Liu C X, Qi X L, Zhang H J, Dai X, Fang Z and Zhang S C 2010 Phys. Rev. B 82 045122 [19] Wang J, Lian B, Zhang H, Xu Y and Zhang S C 2013 Phys. Rev. Lett. 111 136801 [20] Zhou B, Lu H Z, Chu R L, Shen S Q and Niu Q 2008 Phys. Rev. Lett. 101 246807 [21] Burkov A A and Balents L 2011 Phys. Rev. Lett. 107 127205 [22] Zyuzin A A, Wu S and Burkov A A 2012 Phys. Rev. B 85 165110 [23] Lei C, Chen S and MacDonald A H 2020 Proc. Natl. Acad. Sci. USA 117 27224 [24] Fukui T, Hatsugai Y and Suzuki H 2005 J. Phys. Soc. Jpn. 74 1674 [25] Wang Y X and Li F 2018 Europhys. Lett. 123 37001 [26] Jiang H, Qiao Z, Liu H and Niu Q 2012 Phys. Rev. B 85 045445 [27] Guo W T, Huang L, Yang Y, Huang Z and Zhang J M 2021 New J. Phys. 23 083030 [28] Otrokov M M, Klimovskikh I I, Bentmann H, et al. 2019 Nature 576 416 [29] Wang W, Ou Y, Liu C, Wang Y, He K, Xue Q K and Wu W 2018 Nat. Phys. 10 1038 [30] Sobota J A, He Y and Shen Z X 2021 Rev. Mod. Phys. 93 025006 [31] Wu J, Liu F, Sasase M, Ienaga K, Obata Y, Yukawa R, Horiba K, Kumigashira H, Okuma S, Inoshita T and Hosono H 2019 Sci. Adv. 5 eaax9989 [32] Vidal R C, Zeugner A, Facio J I, et al. 2019 Phys. Rev. X 9 041065 [33] Klimovskikh I I, Otrokov M M, Estyunin D, et al. 2020 npj Quantum Mater. 5 54 [34] Mogi M, Kawamura M, Tsukazaki A, Yoshimi R, Takahashi K S, Kawasaki M and Tokura Y 2017 Sci. Adv. 3 eaao1669 [35] Xiao D, Jiang J, Shin J H, Wang W, Wang F, Zhao Y F, Liu C, Wu W, Chan M H W, Samarth N and Chang C Z 2018 Phys. Rev. Lett. 120 056801 |
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|