Metal-insulator phase transition and topology in a three-component system

doi:10.1088/1674-1056/abb305

Abstract Due to the topology, insulators become non-trivial, particularly those with large Chern numbers which support multiple edge channels, catching our attention. In the framework of the tight binding approximation, we study a non-interacting Chern insulator model on the three-component dice lattice with real nearest-neighbor and complex next-nearest-neighbor hopping subjected to \(\Lambda\)-or V-type sublattice potentials. By analyzing the dispersions of corresponding energy bands, we find that the system undergoes a metal-insulator transition which can be modulated not only by the Fermi energy but also the tunable extra parameters. Furthermore, rich topological phases, including the ones with high Hall plateau, are uncovered by calculating the associated band's Chern number. Besides, we also analyze the edge-state spectra and discuss the correspondence between Chern numbers and the edge states by the principle of bulk-edge correspondence. In general, our results suggest that there are large Chern number phases with C= 3 and the work enriches the research about large Chern numbers in multiband systems.

Keywords: band structures high Chern numbers bulk-edge correspondence

Received: 18 June 2020
Revised: 08 August 2020
Accepted manuscript online: 27 August 2020

PACS:	03.65.Vf	(Phases: geometric; dynamic or topological)
	05.30.Rt	(Quantum phase transitions)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11835011 and 11774316).

Corresponding Authors: ^†Corresponding author. E-mail: gaoxl@zjnu.edu.cn

Cite this article:

Shujie Cheng(成书杰) and Xianlong Gao(高先龙) Metal-insulator phase transition and topology in a three-component system 2021 Chin. Phys. B 30 010302

1 Klitzing K V, Dorda G and Pepper M 1980 Phys. Rev. Lett. 45 494
2 Hasan M Z and Kane C L 2010 Rev. Mod. Phys. 82 3045
3 Qi X L and Zhang S C 2011 Rev. Mod. Phys. 83 1057
4 Shen S Q 2012 Topological Insulators(Berlin: Springer-Verlag) pp. 1-221
5 Goldman N, Budich J C and Zoller P 2016 Nat. Phys. 12 639
6 Eckardt A 2017 Rev. Mod. Phys. 89 011004
7 Aidelsburger M, Nascimbene S and Goldman N 2018 C. R. Phys. 19 394
8 Ozawa T, Price H M, Amo A, Goldman N, Hafezi M, Lu L, Rechtsman M C, Schuster D, Simon J, Zilberberg O and Carusotto I 2019 Rev. Mod. Phys. 91 015006
9 Cooper N, Dalibard J and Spielman I 2019 Rev. Mod. Phys. 91 015005
10 Zeng Q B, Yang Y B and Xu Y 2020 Phys. Rev. B 101 241104(R)
11 Kane C L and Mele E J 2005 Phys. Rev. Lett. 95 146802
12 Thouless D J, Kohmoto M, Nightngale M P and Den Nijs M 1982 Phys. Rev. Lett. 49 405
13 Hatsugai Y 1993 Phys. Rev. Lett. 71 3697
14 Chiu C K, Teo J C Y, Schnyder A P and Ryu S 2016 Rev. Mod. Phys. 88 035005
15 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, Li 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
16 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
17 Deng Y, Yu Y, Shi M Z, Guo Z, Xu Z, Wang J, Chen X H and Zhang Y 2020 Science 367 895
18 Kou X F, Guo S T, Fan Y B, Pan L, Lang M R, Jiang Y, Shao Q M, Nie T X, Murata K, Tang J S, Wang Y, He L, Lee W L and Wang K L 2014 Phys. Rev. Lett. 113 137201
19 Checkelsky J G, Yoshimi R, Tsukazaki A, Takahashi K S, Kozuka Y, Falson J, Kawasaki M and Tokura 2014 Nat. Phys. 10 731
20 Mogi M, Yoshimi R, Tsukazaki A, Yasuda K, Kozuka Y, Takahashi K S, Kawasaki M and Tokura Y 2015 Appl. Phys. Lett. 107 182401
21 Ou Y, Liu C, Jiang G, Feng Y, Zhao D, Wu W, Wang X X, Li W, Song C, Wang L L, Wang W, Wu W, Wang Y, He K, Ma X C and Xue Q K 2017 Adv. Mater. 30 1703062
22 Serlin M, Tschirhart C L, Polshyn H, Zhang Y, Zhu J, Watanabe K, Taniguchi T, Balents L and Young A F 2020 Science 367 900
23 Sharpe A L, Fox E J, Barnard A W, Finney J, Watanabe K, Taniguchi T, Kastner M A and Goldhaber-Gordon D 2019 Science 365 605
24 Ge J, Liu Y, Li J, Li H, Luo T, Wu Y, Xu Y and Wang J 2020 Natl. Sci. Rev.
25 Chen G R, Sharpe A L, Fox E J, Zhang Y H, Wang S X, Jiang L L, Lyu B S, Li H Y, Watanabe K, Taniguchi T, Shi Z W, Senthil T, Goldhaber-Gordon D, Zhang Y B and Wang F 2020 Nature 579 56
26 Alba E, Fernandez-Gonzalvo X, Mur-Petit J, Pachos J K and Garcia-Ripoll J J 2011 Phys. Rev. Lett. 107 235301
27 Cooper N R 2011 Phys. Rev. Lett. 106 175301
28 Dalibard J, Gerbier F, Juzeli\=unas G and öhberg P 2011 Rev. Mod. Phys. 83 1523
29 Tarruell L, Greif D, Uehlinger T, Jotzu G and Essinger T 2012 Nature 483 302
30 Mayake K, Siviloglou G A, Kennedy C J, Burton W C and Ketterle W 2013 Phys. Rev. Lett. 111 185302
31 Goldman N, Anisimovas E, Gerbier F, öhberg P, Spielman I B and Juzeli\=unas G 2013 New J. Phys. 15 013025
32 Aidelsburger M, Atala M, Lohse M, Barreiro J T, Paredes B and Bloch I 2013 Phys. Rev. Lett. 111 185301
33 Jotzu G, Messer M, Desbuquois R, Lebrat M, Uehlinger T, Greif D and Esslinger T 2014 Nature 515 237
34 Aidelsburger M, Lohse M, Schweizer C, Atala M, Barreiro J T, Nascimbene S, Cooper N, Bloch I and Goldman N 2015 Nat. Phys. 11 162
35 Tai M E, Lukin A, Rispoli M, Schittko R, Menke T, Borgnia D, Preiss P M, Grusdt F, Kaufman A M,Greiner M 2017 Nature 546 519
36 Fläschner N, Vogel D, Tarnowski M, Rem B, Lühmann D S, Heyl M, Budich J, Mathey L, Sengstock K,Weitenberg C 2018 Nat. Phys. 14 265
37 Wu C 2008 Phys. Rev. Lett. 101 186807
38 Shao L B, Zhu S L, Sheng L, Xing D Y and Wang Z D 2008 Phys. Rev. Lett. 101 246810
39 Oka T and Aoki H 2009 Phys. Rev. B 79 081406 (R)
40 Haldane F D M 1988 Phys. Rev. Lett. 61 2015
41 Hofstadter D R 1976 Phys. Rev. B 14 2239
42 Lohse M, Schweizer C, Zilberberg O, Aidelsburger M and Bloch I 2016 Nat. Phys. 12 350
43 Lohse M, Schweizer C, Price H M, Zilberberg O and Bloch I 2018 Nature 553 55
44 Atala M, Aidelsburger M, Lohse M, Barreiro J T, Paredes B and Bloch I 2014 Nat. Phys. 10 588
45 Mancini M, Pagano G, Cappellini G, Livi L, Rider M, Catani J, Sias C, Zoller P, Inguscio M, Dalmonte M and Fallani L 2015 Science 349 1510
46 Stuhl B, Lu H I, Aycock L, Genkina D and Spielman I B 2015 Science 349 1514
47 Tarnowski M, ünal F N, Fläschner N, Rem B S, Eckardt A, Sengstock K and Weitenberg C 2019 Nat. Comm. 10 1728
48 Asteria L, Tran D T, Ozawa T, Tarnowski M, Rem B S, Fläschner N, Sengstock K, Goldman N and Weitenberg C 10.1038/s41567-019-0417-8 2019 Nat. Phys. 15 449
49 Xu Z, Zhang Y and Chen S 2017 Phys. Rev. A 96 013606
50 Andrijauskas T, Anisimovas E, Ra\vci\=unas M, Mekys A, Kudria\vsov V, Spielman I B and Juzeli\=unas G 2015 Phys. Rev. A 92 033617
51 Cheng S J, Yin H H, Lu Z P, He C C, Wang P and Xianlong G 2020 Phys. Rev. A 101 043620
52 Sutherland B 1986 Phys. Rev. B 34 5208
53 Vidal J, Butaud P, Doucot B and Mosseri R 10.1103/PhysRevB.64.155306 2001 Phys. Rev. B 64 155306
54 Bercioux D, Urban D F, Grabert H and Häusler W 2009 Phys. Rev. A 80 063603
55 Möller G and Cooper N R 2012 Phys. Rev. Lett. 108 045306
56 Rizzi M, Cataudella V and Fazio R 2006 Phys. Rev. B 73 144511
57 Burkov A A and Demler E 2006 Phys. Rev. Lett. 96 180406
58 Bercioux D, Goldman N and Urban D F 2011 Phys. Rev. A 83 023609
59 Dey B, Kapri P, Pal O and Ghosh T K 2020 Phys. Rev. B 101 235406
60 Rudner M S, Lindner N H, Berg E and Levin M 2013 Phys. Rev. X 3 031005
61 Khanna G, Mukhopadhyay S, Simon R and Mukunda N 10.1006/aphy.1997.5601 1997 Ann. Phys. 253 55
62 Sachdev S 2011 Quantum Phase Transitions 2nd edn. (Cambridge: Cambridge University Press)
63 Barnett R, Boyd G R and Galitski V 2012 Phys. Rev. Lett. 109 235308
64 Georgi H Lie Algebras In Particle Physics: from Isospin To Unified Theories(Reading, Mass: Benjamin/Cummings) pp. 98-100
65 Setyawan W and Curtarolo S 2010 Comp. Mater. Sci. 49 299
66 Wang P, Schmitt M and Kehrein S 2016 Phys. Rev. B 93 085134
67 Okamoto S and Xiao D 2018 J. Phys. Soc. Jpn. 87 041006
68 Doennig D, Pickett W E and Pentcheva R 2013 Phys. Rev. Lett. 111 126804
69 Rawl R, Lee M, Choi E S, Li G, Chen K W, Baumbach R, Cruz C R d, Ma J and Zhou H D 2017 Phys. Rev. B 95 174438
70 Schleid T and Meyer G 1994 Z. Krist-Cryst Mater. 209 371
71 Ryazanov M, Simon A and Mattausch H 2006 Inorg. Chem. 45 10728

[1]	Observation of multiple charge density wave phases in epitaxial monolayer 1T-VSe₂ film Junyu Zong(宗君宇), Yang Xie(谢阳), Qinghao Meng(孟庆豪), Qichao Tian(田启超), Wang Chen(陈望), Xuedong Xie(谢学栋), Shaoen Jin(靳少恩), Yongheng Zhang(张永衡), Li Wang(王利), Wei Ren(任伟), Jian Shen(沈健), Aixi Chen(陈爱喜), Pengdong Wang(王鹏栋), Fang-Sen Li(李坊森), Zhaoyang Dong(董召阳), Can Wang(王灿), Jian-Xin Li(李建新), and Yi Zhang(张翼). Chin. Phys. B, 2022, 31(10): 107301.
[2]	Identifying anomalous Floquet edge modes via bulk-edge correspondence Huanyu Wang(王寰宇), Wuming Liu(刘伍明). Chin. Phys. B, 2020, 29(4): 047301.
[3]	Electronic properties of defects in Weyl semimetal tantalum arsenide Yan-Long Fu(付艳龙), Chang-Kai Li(李长楷), Zhao-Jun Zhang(张昭军), Hai-Bo Sang(桑海波), Wei Cheng(程伟), Feng-Shou Zhang(张丰收). Chin. Phys. B, 2018, 27(9): 097101.
[4]	Topological nodal line semimetals Chen Fang(方辰), Hongming Weng(翁红明), Xi Dai(戴希), Zhong Fang(方忠). Chin. Phys. B, 2016, 25(11): 117106.
[5]	Acoustic band pinning in the phononic crystal plates of anti-symmetric structure Cai Chen(蔡琛), Zhu Xue-Feng(祝雪丰), Chen Qian(陈谦), Yuan Ying(袁樱), Liang Bin(梁彬), and Cheng Jian-Chun(程建春) . Chin. Phys. B, 2011, 20(11): 116301.
[6]	Investigation of a silicon-based one-dimensional phononic crystal plate via the super-cell plane wave expansion method Zhu Xue-Feng(祝雪丰), Liu Sheng-Chun(刘盛春), Xu Tao(徐涛), Wang Tie-Hai(王铁海), and Cheng Jian-Chun(程建春). Chin. Phys. B, 2010, 19(4): 044301.
[7]	Electronic structures and magnetoelectric properties of tetragonal BaFeO₃: an ab initio density functional theory study Feng Hong-Jian(冯宏剑) and Liu Fa-Min(刘发民). Chin. Phys. B, 2008, 17(5): 1874-1880.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Metal-insulator phase transition and topology in a three-component system

Cite this article:

Online attention