Moiré flat bands of twisted few-layer graphite

doi:10.1007/s11467-022-1220-z

Front. Phys.

2023, Vol. 18

Issue (1) : 13307 https://doi.org/10.1007/s11467-022-1220-z

RESEARCH ARTICLE

Moiré flat bands of twisted few-layer graphite

Zhen Ma¹, Shuai Li¹, Meng-Meng Xiao¹, Ya-Wen Zheng¹, Ming Lu^3,², Haiwen Liu⁵, Jin-Hua Gao¹(

), X. C. Xie^2,⁴

¹. School of Physics and Wuhan National High Magnetic Field Center, Huazhong University of Science and Technology, Wuhan 430074, China
². International Center for Quantum Materials, School of Physics, Peking University, Beijing 100871, China
³. Beijing Academy of Quantum Information Sciences, Beijing 100193, China
⁴. CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing 100190, China
⁵. Center for Advanced Quantum Studies, Department of Physics, Beijing Normal University, Beijing 100875, China

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Abstract

We report that the twisted few layer graphite (tFL-graphite) is a new family of moiré heterostructures (MHSs), which has richer and highly tunable moiré flat band structures entirely distinct from all the known MHSs. A tFL-graphite is composed of two few-layer graphite (Bernal stacked multilayer graphene), which are stacked on each other with a small twisted angle. The moiré band structure of the tFL-graphite strongly depends on the layer number of its composed two van der Waals layers. Near the magic angle, a tFL-graphite always has two nearly flat bands coexisting with a few pairs of narrowed dispersive (parabolic or linear) bands at the Fermi level, thus, enhances the DOS at E_F . This coexistence property may also enhance the possible superconductivity as been demonstrated in other multiband superconductivity systems. Therefore, we expect strong multiband correlation effects in tFL-graphite. Meanwhile, a proper perpendicular electric field can induce several isolated nearly flat bands with nonzero valley Chern number in some simple tFL-graphites, indicating that tFL-graphite is also a novel topological flat band system.

Keywords few-layer graphite flat band moiré heterostructures

Corresponding Author(s): Jin-Hua Gao

Issue Date: 15 November 2022

Cite this article:

Zhen Ma,Shuai Li,Meng-Meng Xiao, et al. Moiré flat bands of twisted few-layer graphite[J]. Front. Phys. , 2023, 18(1): 13307.

URL:

https://academic.hep.com.cn/fop/EN/10.1007/s11467-022-1220-z
https://academic.hep.com.cn/fop/EN/Y2023/V18/I1/13307

Fig.1 (a) Schematic of the tFL-graphite, red (green) is the top (bottom) vdW layer. (b) Moiré Brillouin zone (black), red (green) is the first BZ of the top (bottom) vdW layer. (c) Side view of several tFL-graphite configurations.

Fig.2 (a−d), (e−h) and (i−l) are the moiré bands of the A+ABA, BA+ABA and ABA+ABA, respectively. (a, e, i) are calculated at

θ = 3.88 ∘

; (b, f, j) are calculated at

θ = 1.33 ∘

; (c, g, k) are calculated at

θ = 1.05 ∘

; (d, h, l) are calculated at

θ = 0.83 ∘

. The moiré bands of AB+ABA and BAB+ABA are given in Ref. [61]. Red (blue) line indicate the first (second) conduction and valence bands respectively. Parameters:

ω 1 / ω 2 / γ 0 / γ 1 / γ 3 / γ 4 = 78 / 98 / 2610 / 360 / 0 / 0 m e V

ξ = − 1

[36, 48].

Fig.3 (a, b) are the moiré bands under a perpendicular electric field for the ABA+ABA and BAB + ABA, respectively.

V = 20

meV,

θ = 1.33 ∘

and full parameter model is used. The black number are the valley Chern numbers for four moiré bands (red and blue solid lines).

Fig.4 (a−d), (e−h) and (i−l) are the moiré bands of the BA+ABAB, BABA+ABAB and BABA+ABABA, respectively. (a, e, i) are calculated with the minimal model at

θ = 1.33 ∘

; (b, f, j) are calculated with minimal model at

θ = 1.05 ∘

; (c, g, k) are calculated with full parameter model at

θ = 1.33 ∘

; (d, h, l) are calculated with full parameter model at

θ = 1.05 ∘

, and the corresponding DOS is also plotted. Red (blue and green) line indicate the first(second and third) conduction and valence bands respectively. Parameters:

ω 1 / ω 2 / γ 0 / γ 1 / γ 3 / γ 4 = 78 / 98 / 2610 / 360 / 283 / 138 m e V

ξ = − 1

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