Phase diagram of twisted bilayer graphene at filling factor ν=±3

doi:10.1103/PhysRevB.107.075156

	Phase diagram of twisted bilayer graphene at filling factor ν=±3
	Xie, Fang 1,2; Kang, Jian3 ; Bernevig, Andrei 1,4,5; Vafek, Oskar 6,7; Regnault, Nicolas 1,8
	2023-02-15
发表期刊	PHYSICAL REVIEW B; (IF:3.2[JCR-2023],3.3[5-Year])
ISSN	2469-9950
EISSN	2469-9969
卷号	107 期号:7
发表状态	已发表
DOI	10.1103/PhysRevB.107.075156
摘要	We study the correlated insulating phases of twisted bilayer graphene (TBG) in the absence of lattice strain at integer filling ν=±3. Using the self-consistent Hartree-Fock method on a particle-hole symmetric model and allowing translation symmetry breaking terms, we obtain the phase diagram with respect to the ratio of AA interlayer hopping (w0) and AB interlayer hopping (w1). When the interlayer hopping ratio is close to the chiral limit (w0/w10.5), a quantum anomalous Hall state with Chern number νc=±1 can be observed consistent with previous studies. Around the realistic value w0/w1≈0.8, we find a spin and valley polarized, translation symmetry breaking, state with C2zT symmetry, a charge gap and a doubling of the moiré unit cell, dubbed the C2zT stripe phase. The real-space total charge distribution of this C2zT stripe phase in the flat band limit does not have modulation between different moiré unit cells, although the charge density in each layer is modulated, and the translation symmetry is strongly broken. Other symmetries, including C2z, C2x, particle-hole symmetry P, and the topology of the C2zT stripe phase, are also discussed in detail. We observed braiding and annihilation of the Dirac nodes by continuously turning on the order parameter to its fully self-consistent value, and provide a detailed explanation of the mechanism for the charge gap opening despite preserving C2zT and valley U(1) symmetries. In the transition region between the quantum anomalous Hall phase and the C2zT stripe phase, we find an additional competing state with comparable energy corresponding to a phase with a tripling of the moiré unit cell.
关键词	Annihilation Graphene Quantum theory Bilayer Graphene Charge gap Filling factor Insulating phase Lattice strain Stripe phase Symmetry breakings Translation symmetry Twisted bilayers Unit cells
学科门类	Electronic, Optical and Magnetic Materials ; Condensed Matter Physics
URL	查看原文
收录类别	SCOPUS ; EI ; SCI
语种	英语
资助项目	DOE[DE-SC0016239] ; Gordon and Betty Moore Founda- tion[GBMF11070] ; ShanghaiTech University[GBMF11070] ; National High Magnetic Field Laboratory through NSF["101017733","731473","10107733"] ; State of Florida[101020833] ; null[12074276] ; null[DMR-1916958] ; null[DMR-1157490]
WOS研究方向	Materials Science ; Physics
WOS类目	Materials Science, Multidisciplinary ; Physics, Applied ; Physics, Condensed Matter
WOS记录号	WOS:000944157700009
出版者	AMER PHYSICAL SOC
EI入藏号	20231113702343
EI主题词	Phase diagrams
EI分类号	761 Nanotechnology ; 804 Chemical Products Generally ; 931.4 Quantum Theory ; Quantum Mechanics ; 932.1 High Energy Physics
原始文献类型	Article
Scopus 记录号	2-s2.0-85149671843
来源库	SCOPUS
引用统计	正在获取...
文献类型	期刊论文
条目标识符	https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/286511
专题	物质科学与技术学院物质科学与技术学院_PI研究组_康健
通讯作者	Xie, Fang
作者单位	1.Princeton Univ, Dept Phys, Princeton, NJ 08544 USA 2.Rice Univ, Dept Phys & Astron, Houston, TX 77005 USA 3.ShanghaiTech Univ, Sch Phys Sci & Technol, Shanghai 201210, Peoples R China 4.Donostia Int Phys Ctr, P Manuel De Lardizabal 4, San Sebastian 20018, Spain 5.Basque Fdn Sci, IKERBASQUE, Bilbao, Spain 6.Natl High Magnet Field Lab, Tallahassee, FL 32310 USA 7.Florida State Univ, Dept Phys, Tallahassee, FL 32306 USA 8.Univ Paris Diderot, Univ PSL, Sorbonne Univ,Sorbonne Paris Cite, Lab Phys,Ecole Normale Super,ENS, F-75005 Paris, France
推荐引用方式 GB/T 7714	Xie, Fang,Kang, Jian,Bernevig, Andrei,et al. Phase diagram of twisted bilayer graphene at filling factor ν=±3[J]. PHYSICAL REVIEW B;,2023,107(7).
APA	Xie, Fang,Kang, Jian,Bernevig, Andrei,Vafek, Oskar,&Regnault, Nicolas.(2023).Phase diagram of twisted bilayer graphene at filling factor ν=±3.PHYSICAL REVIEW B;,107(7).
MLA	Xie, Fang,et al."Phase diagram of twisted bilayer graphene at filling factor ν=±3".PHYSICAL REVIEW B; 107.7(2023).