Interface-induced topological phase and doping-modulated bandgap of two-dimensioanl graphene-like networks

doi:10.1088/1674-1056/ac904d

中国物理B ›› 2023, Vol. 32 ›› Issue (1): 17201-017201.doi: 10.1088/1674-1056/ac904d

Interface-induced topological phase and doping-modulated bandgap of two-dimensioanl graphene-like networks

Ningjing Yang(杨柠境)¹, Hai Yang(杨海)^1,†, and Guojun Jin(金国钧)^1,2,‡

1 School of Physics Science and Technology, Kunming University, Kunming 650214, China;
2 National Laboratory of Solid State Microstructures, Department of Physics, and Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China

收稿日期:2022-07-12 修回日期:2022-08-25 接受日期:2022-09-08 出版日期:2022-12-08 发布日期:2022-12-08
通讯作者: Hai Yang, Guojun Jin E-mail:kmyangh@263.net;gjin@nju.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12074156 and 12164023) and the Yunnan Local College Applied Basic Research Projects (Grant No. 2021Y710).

Interface-induced topological phase and doping-modulated bandgap of two-dimensioanl graphene-like networks

Ningjing Yang(杨柠境)¹, Hai Yang(杨海)^1,†, and Guojun Jin(金国钧)^1,2,‡

1 School of Physics Science and Technology, Kunming University, Kunming 650214, China;
2 National Laboratory of Solid State Microstructures, Department of Physics, and Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China

Received:2022-07-12 Revised:2022-08-25 Accepted:2022-09-08 Online:2022-12-08 Published:2022-12-08
Contact: Hai Yang, Guojun Jin E-mail:kmyangh@263.net;gjin@nju.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12074156 and 12164023) and the Yunnan Local College Applied Basic Research Projects (Grant No. 2021Y710).

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摘要/Abstract

摘要： Biphenylene is a new topological material that has attracted much attention recently. By amplifying its size of unit cell, we construct a series of planar structures as homogeneous carbon allotropes in the form of polyphenylene networks. We first use the low-energy effective model to prove the topological three periodicity for these allotropes. Then, through first-principles calculations, we show that the topological phase has the Dirac point. As the size of per unit cell increases, the influence of the quaternary rings decreases, leading to a reduction in the anisotropy of the system, and the Dirac cone undergoes a transition from type II to type I. We confirm that there are two kinds of non-trivial topological phases with gapless and gapped bulk dispersion. Furthermore, we add a built-in electric field to the gapless system by doping with B and N atoms, which opens a gap for the bulk dispersion. Finally, by manipulating the built-in electric field, the dispersion relations of the edge modes will be transformed into a linear type. These findings provide a hopeful approach for designing the topological carbon-based materials with controllable properties of edge states.

关键词: polyphenylene, interface, band structure, Zak phase, edge state

Abstract: Biphenylene is a new topological material that has attracted much attention recently. By amplifying its size of unit cell, we construct a series of planar structures as homogeneous carbon allotropes in the form of polyphenylene networks. We first use the low-energy effective model to prove the topological three periodicity for these allotropes. Then, through first-principles calculations, we show that the topological phase has the Dirac point. As the size of per unit cell increases, the influence of the quaternary rings decreases, leading to a reduction in the anisotropy of the system, and the Dirac cone undergoes a transition from type II to type I. We confirm that there are two kinds of non-trivial topological phases with gapless and gapped bulk dispersion. Furthermore, we add a built-in electric field to the gapless system by doping with B and N atoms, which opens a gap for the bulk dispersion. Finally, by manipulating the built-in electric field, the dispersion relations of the edge modes will be transformed into a linear type. These findings provide a hopeful approach for designing the topological carbon-based materials with controllable properties of edge states.

Key words: polyphenylene, interface, band structure, Zak phase, edge state

中图分类号: (Thermoelectric and thermomagnetic effects)

72.15.Jf

72.25.-b (Spin polarized transport) 74.62.Dh (Effects of crystal defects, doping and substitution) 66.35.+a (Quantum tunneling of defects)

Ningjing Yang(杨柠境), Hai Yang(杨海), and Guojun Jin(金国钧). Interface-induced topological phase and doping-modulated bandgap of two-dimensioanl graphene-like networks[J]. 中国物理B, 2023, 32(1): 17201-017201.

Ningjing Yang(杨柠境), Hai Yang(杨海), and Guojun Jin(金国钧). Interface-induced topological phase and doping-modulated bandgap of two-dimensioanl graphene-like networks[J]. Chin. Phys. B, 2023, 32(1): 17201-017201.

参考文献

[1] Hasan M Z and Kane C L 2010 Rev. Mod. Phys. 82 3045
[2] Burkov A A 2016 Nat. Mater. 15 1145
[3] Ying X and Kamenev A 2018 Phys. Rev. Lett. 121 086810
[4] Xie L C, Wu H C, Jin L and Song Z 2021 Phys. Rev. B 104 165422
[5] Fang C, Weng H M, Dai X and Fang Z 2016 Chin. Phys. B 25 117106
[6] Pei C Y, Xia Y, Wu J Z, Zhao Y, Gao L L, Ying T P, Gao B, Li N N, Yang W G, Zhang D Z, Gou H Y, Chen Y L, Hosono H, Li G and Qi Y P 2020 Chin. Phys. Lett. 37 066401
[7] Zhai X and Jin G 2014 Phys. Rev. B 89 085430
[8] Xiao D, Chang M C and Niu Q 2010 Rev. Mod. Phys. 82 1959
[9] Liu F and Wakabayashi K 2017 Phys. Rev. Lett. 118 076803
[10] Obana D, Liu F and Wakabayashi K 2019 Phys. Rev. B 100 075437
[11] Kameda T, Liu F, Dutta S and Wakabayashi K 2019 Phys. Rev. B 99 075426
[12] Sheng X L, Chen C, Liu H Y, Chen Z Y, Yu Z M, Zhao Y X and Yang S A 2019 Phys. Rev. Lett. 123 256402
[13] Miert G V, Ortix C and Smith C M 2017 2D Mater. 4 015023
[14] Fang C, Gilbert M J and Bernevig B A 2012 Phys. Rev. B 86 115112
[15] Fu L and Kane C L 2007 Phys. Rev. B 76 045302
[16] Kaciulis S, Mezzi A, Calvanib P and Trucchi D M 2015 Surf. Interface Anal. 46 10
[17] Sheng X L, Cui H J, Ye F, Yan Q B, Zheng Q R and Su G 2012 J. Appl. Phys. 112 074315
[18] Weng H M, Liang Y Y, Xu Q A, Yu R, Fang Z, Dai Xi and Kawazoe Y 2015 Phys. Rev. B 92 045108
[19] Wang J T, Nie S M, Weng H M, Kawazoe Y and Chen C F 2018 Phys. Rev. Lett. 120 026402
[20] Fan Q, Yan L, Tripp M W, Krejčl O, Dimosthenous S, Kachel S R, Chen M, Foster A S, Koert U, Liljeroth P and Gottfried J M 2021 Science 372 852
[21] Liu P F, Li J, Zhang C, Tu X H, Zhang J, Zhang P, Wang B T and Singh D J 2021 Phys. Rev. B 104 235422
[22] Hamada N, Sawada S I and Oshiyama A 1992 Phys. Rev. Lett. 68 1579
[23] Son Y W, Cohen M L and Louie S G 2006 Phys. Rev. Lett. 97 216803
[24] Cao T, Zhao F and Louie S G 2017 Phys. Rev. Lett. 119 076401
[25] Hu C and Guo H 2020 Appl. Phys. Lett. 117 083101
[26] Gröning O, Wang S, Yao X, Pignedoli C A, Barin G B, Daniels C, Cupo A, Meunier V, Feng X, Narita A, Müllen K, Ruffieux P and Fasel R 2018 Nature 560 209
[27] Rizzo D J, Veber G, Cao T, Bronner C, Chen T, Zhao F, Rodriguez H, Louie S G, Crommie M F and Fischer F R 2018 Nature 560 204
[28] Chen X W, Shi Z G, Xiang S H, Song K H and Zhou G H 2017 J. Phys. Condens. Matter 29 085301
[29] Zhou Y C, Zhang H L and Deng W Q 2013 Nanotechnology 24 225705
[30] Zhang H H, Xie Y E, Zhong C Y, Zhang Z W and Chen Y P 2017 J. Phys. Chem. C 121 12476
[31] Shang L, Liu P F, Gao H, Wu W, Wang Y, Gao Z B, Wang B T and Ren W 2021 Phys. Status Solidi RRL 16 2100203
[32] Yan P, Ouyang T, He C, Li J, Zhang C, Tang C and Zhong J X 2021 Nanoscale 13 3564
[33] Freitas R R Q, Rivelino R, de Brito Mota F and de Castilho C M C 2015 J. Phys. Chem. C 119 23599
[34] Brandbyge M, Mozos J L, Ordejón P, Taylor J and Stokbro K 2002 Phys. Rev. B 65 165401
[35] QuantumATK version Q-2018.6, Synopsys QuantumATK, http://www. quantum wise.com
[36] Liu M Z, Liu M X, She L M, Zha Z Q, Pan J L, Li S C, Li T, He Y Y, Cai Z Y, Wang J B, Zheng Y, Qiu X H and Zhong D Y 2017 Nat. Commun. 8 14924
[37] Kong W X, Wang R, Xiao X L, Zhan F Y, Gan L Y, Wei J, Fan J and Wu X Z 2021 J. Phys. Chem. Lett. 12 10874
[38] Xie Y E, Kang Y, Li S, Yan X H and Chen Y P 2021 Appl. Phys. Lett. 118 193101
[39] Wu X, Feng Y, Li S, Zhang B and Gao G 2020 J. Phys. Chem. C 124 16127
[40] Lu S, Shi Y, Zhou W, Zhang Z, Wu F and Zhang B 2022 J. Am. Chem. Soc. 144 3250
[41] Slawińska J, Zasada I and Klusek Z 2010 Phys. Rev. B 81 155433
[42] Roman-Taboada P and Naumis G G 2017 Phys. Rev. B 96 155435

Interface-induced topological phase and doping-modulated bandgap of two-dimensioanl graphene-like networks

Interface-induced topological phase and doping-modulated bandgap of two-dimensioanl graphene-like networks

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