Superconductivity in twisted multilayer graphene: A smoking gun in recent condensed matter physics

doi:10.1088/1674-1056/abbbea

Abstract

We review the recent discoveries of exotic phenomena in graphene, especially superconductivity. It has been theoretically suggested for more than one decade that superconductivity may emerge in doped graphene-based materials. For single-layer pristine graphene, there are theoretical predictions that spin-singlet d + id pairing superconductivity is present when the filling is around the Dirac point. If the Fermi level is doped to the Van Hove singularity where the density of states diverges, then unconventional superconductivity with other pairing symmetry would appear. However, the experimental perspective was a bit disappointing. Despite extensive experimental efforts, superconductivity was not found in monolayer graphene. Recently, unconventional superconductivity was found in magic-angle twisted bilayer graphene. Superconductivity was also found in ABC stacked trilayer graphene and other systems. In this article, we review the unique properties of superconducting states in graphene, experimentally controlling the superconductivity in twisted bilayer graphene, as well as a gate-tunable Mott insulator, and the superconductivity in trilayer graphene. These discoveries have attracted the attention of a large number of physicists. The study of the electronic correlated states in twisted multilayer graphene serves as a smoking gun in recent condensed matter physics.

Keywords: graphene twisted multilayer graphene superconductivity

Received: 02 June 2020
Revised: 25 August 2020
Accepted manuscript online: 28 September 2020

Fund: the National Natural Science Foundation of China (Grant Nos. 11774033 and 11974049) and Beijing Natural Science Foundation, China (Grant No. 1192011).

Corresponding Authors: ^†Corresponding author. E-mail: txma@bnu.edu.cn

Cite this article:

Yonghuan Chu(楚永唤), Fangduo Zhu(朱方铎), Lingzhi Wen(温凌志), Wanying Chen(陈婉莹), Qiaoni Chen(陈巧妮), and Tianxing Ma(马天星) Superconductivity in twisted multilayer graphene: A smoking gun in recent condensed matter physics 2020 Chin. Phys. B 29 117401

Fig. 1.

(a) When a graphene bilayer is twisted so that the top sheet is rotated out of alignment with the lower sheet, the unit cell (the smallest repeating unit of the material’s 2D lattice) becomes enlarged; (b) for small rotation angles, a moiré pattern is produced in which the local stacking arrangement varies periodically.

Fig. 2.

(a) Two superconducting domes are observed next to the half-filling state which is labeled Mott and centered around –n_s/2 = –1.58 × 10¹² cm⁻². The remaining regions in the diagram are labeled as metal owing to the metallic temperature dependence. The highest critical temperature observed is T_c = 0.5 K (at 50% of the normal-state resistance). (b) Two asymmetric and overlapping domes are shown. The highest critical temperature is T_c = 1.7 K. Reproduced with permission from Ref. [28].

Fig. 3.

Crystal structure of ABA (a) and ABC (b) trilayer graphene.

Fig. 4.

Carrier-density-dependent phase diagram. R_xx represents the gate-dependent four-probe resistance, a function of the carrier density and temperature at D = –0.54 V/nm. R₀ = 380 Ω. Reproduced with permission from Ref. [141].

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[3]	Spin- and valley-polarized Goos-Hänchen-like shift in ferromagnetic mass graphene junction with circularly polarized light Mei-Rong Liu(刘美荣), Zheng-Fang Liu(刘正方), Ruo-Long Zhang(张若龙), Xian-Bo Xiao(肖贤波), and Qing-Ping Wu(伍清萍). Chin. Phys. B, 2023, 32(3): 037301.
[4]	Superconductivity in epitaxially grown LaVO₃/KTaO₃(111) heterostructures Yuan Liu(刘源), Zhongran Liu(刘中然), Meng Zhang(张蒙), Yanqiu Sun(孙艳秋), He Tian(田鹤), and Yanwu Xie(谢燕武). Chin. Phys. B, 2023, 32(3): 037305.
[5]	Graphene metasurface-based switchable terahertz half-/quarter-wave plate with a broad bandwidth Xiaoqing Luo(罗小青), Juan Luo(罗娟), Fangrong Hu(胡放荣), and Guangyuan Li(李光元). Chin. Phys. B, 2023, 32(2): 027801.
[6]	Correlated states in alternating twisted bilayer-monolayer-monolayer graphene heterostructure Ruirui Niu(牛锐锐), Xiangyan Han(韩香岩), Zhuangzhuang Qu(曲壮壮), Zhiyu Wang(王知雨), Zhuoxian Li(李卓贤), Qianling Liu(刘倩伶), Chunrui Han(韩春蕊), and Jianming Lu(路建明). Chin. Phys. B, 2023, 32(1): 017202.
[7]	Adsorption dynamics of double-stranded DNA on a graphene oxide surface with both large unoxidized and oxidized regions Mengjiao Wu(吴梦娇), Huishu Ma(马慧姝), Haiping Fang(方海平), Li Yang(阳丽), and Xiaoling Lei(雷晓玲). Chin. Phys. B, 2023, 32(1): 018701.
[8]	Pressure-induced stable structures and physical properties of Sr-Ge system Shuai Han(韩帅), Shuai Duan(段帅), Yun-Xian Liu(刘云仙), Chao Wang(王超), Xin Chen(陈欣), Hai-Rui Sun(孙海瑞), and Xiao-Bing Liu(刘晓兵). Chin. Phys. B, 2023, 32(1): 016101.
[9]	Superconducting properties of the C15-type Laves phase ZrIr₂ with an Ir-based kagome lattice Qing-Song Yang(杨清松), Bin-Bin Ruan(阮彬彬), Meng-Hu Zhou(周孟虎), Ya-Dong Gu(谷亚东), Ming-Wei Ma(马明伟), Gen-Fu Chen(陈根富), and Zhi-An Ren(任治安). Chin. Phys. B, 2023, 32(1): 017402.
[10]	Superconductivity and unconventional density waves in vanadium-based kagome materials AV₃Sb₅ Hui Chen(陈辉), Bin Hu(胡彬), Yuhan Ye(耶郁晗), Haitao Yang(杨海涛), and Hong-Jun Gao(高鸿钧). Chin. Phys. B, 2022, 31(9): 097405.
[11]	Dynamically tunable multiband plasmon-induced transparency effect based on graphene nanoribbon waveguide coupled with rectangle cavities system Zi-Hao Zhu(朱子豪), Bo-Yun Wang(王波云), Xiang Yan(闫香), Yang Liu(刘洋), Qing-Dong Zeng(曾庆栋), Tao Wang(王涛), and Hua-Qing Yu(余华清). Chin. Phys. B, 2022, 31(8): 084210.
[12]	Dual-channel tunable near-infrared absorption enhancement with graphene induced by coupled modes of topological interface states Zeng-Ping Su(苏增平), Tong-Tong Wei(魏彤彤), and Yue-Ke Wang(王跃科). Chin. Phys. B, 2022, 31(8): 087804.
[13]	Mottness, phase string, and high-T_c superconductivity Jing-Yu Zhao(赵靖宇) and Zheng-Yu Weng(翁征宇). Chin. Phys. B, 2022, 31(8): 087104.
[14]	Recent advances of defect-induced spin and valley polarized states in graphene Yu Zhang(张钰), Liangguang Jia(贾亮广), Yaoyao Chen(陈瑶瑶), Lin He(何林), and Yeliang Wang(王业亮). Chin. Phys. B, 2022, 31(8): 087301.
[15]	Precisely controlling the twist angle of epitaxial MoS₂/graphene heterostructure by AFM tip manipulation Jiahao Yuan(袁嘉浩), Mengzhou Liao(廖梦舟), Zhiheng Huang(黄智恒), Jinpeng Tian(田金朋), Yanbang Chu(褚衍邦), Luojun Du(杜罗军), Wei Yang(杨威), Dongxia Shi(时东霞), Rong Yang(杨蓉), and Guangyu Zhang(张广宇). Chin. Phys. B, 2022, 31(8): 087302.

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