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We study a family of globally smooth spatially varying two dimensional stacking textures in bilayer graphene. We find that the strain-minimizing stacking patterns connecting inequivalent ground states with local $AB$ and $BA$ interlayer…

介观与纳米尺度物理 · 物理学 2014-04-01 Xingting Gong , E. J. Mele

Topology and electron interactions are two central themes in modern condensed matter physics. Here we propose graphene based systems where both the band topology and interaction effects can be simply controlled with electric fields. We…

强关联电子 · 物理学 2019-02-20 Ya-Hui Zhang , Dan Mao , Yuan Cao , Pablo Jarillo-Herrero , T. Senthil

We consider bilayer graphene in the presence of spin orbit coupling, to assess its behavior as a topological insulator. The first Chern number $n$ for the energy bands of single and bilayer graphene is computed and compared. It is shown…

介观与纳米尺度物理 · 物理学 2011-07-18 E. Prada , P. San-Jose , L. Brey , H. A. Fertig

The study of higher-order and real topological states as well as the material realization have become a research forefront of topological condensed matter physics in recent years. Twisted bilayer graphene (tbG) is proved to have…

材料科学 · 物理学 2022-08-02 Bin-Bin Liu , Xu-Tao Zeng , Cong Chen , Ziyu Chen , Xian-Lei Sheng

Coherent motion of the electrons in the Bloch states is one of the fundamental concepts of the charge conduction in solid state physics. In layered materials, however, such a condition often breaks down for the interlayer conduction, when…

Stackings in graphene have a pivotal role in properties to be discussed in the future, as seen in the recently found superconductivity of twisted bilayer graphene. Beyond bilayer graphene, the stacking order of multilayer graphene can be…

介观与纳米尺度物理 · 物理学 2022-12-12 Raúl Guerrero-Avilés , Marta Pelc , Fabian Geisenhof , Thomas Weitz , Andrés Ayuela

We study the electronic band structure and the topological property of the twisted double bilayer graphene, or a pair of AB-stacked bilayer graphenes rotationally stacked on top of each other. We consider two different arrangements, AB-AB…

介观与纳米尺度物理 · 物理学 2019-06-10 Mikito Koshino

Graphene can be turned into a semimetal with broken time-reversal symmetry by adding a valley-dependent pseudo-scalar potential that shifts the Dirac point energies in opposite directions, as in the modified Haldane model. We consider a…

介观与纳米尺度物理 · 物理学 2023-01-16 Marwa Mannaï , Jean-Noël Fuchs , Frédéric Piéchon , Sonia Haddad

We consider a family of twisted graphene multilayers consisting of $n$-untwisted chirally stacked layers, e.g., AB, ABC, etc, with a single twist on top of $m$-untwisted {chirally stacked} layers. Upon neglecting both trigonal warping terms…

强关联电子 · 物理学 2022-05-20 Patrick J. Ledwith , Ashvin Vishwanath , Eslam Khalaf

Compared with twisted bilayer graphene, twisted double bilayer graphene (TDBG) provides another important platform to realize the moir\'e flat bands. In this paper, we first calculate the valley Chern number phase diagram of TDBG in the…

介观与纳米尺度物理 · 物理学 2021-03-03 Yi-Xiang Wang , Fuxiang Li , Zi-Yue Zhang

Rhombohedral stacked multilayer graphene is an ideal platform to search for correlated electron phenomena, due to its pair of flat bands touching at zero energy and further tunability by an electric field. Furthermore, its valley-dependent…

介观与纳米尺度物理 · 物理学 2024-02-29 Tonghang Han , Zhengguang Lu , Giovanni Scuri , Jiho Sung , Jue Wang , Tianyi Han , Kenji Watanabe , Takashi Taniguchi , Hongkun Park , Long Ju

Rhombohedral-stacked multilayer graphene aligned with hexagonal boron nitride has emerged as an excellent platform for investigating exotic quantum phenomena arising from the interplay between electron correlations and nontrivial topology.…

We study trilayer graphene arranged in a staircase stacking configuration with equal consecutive twist angle. On top of the moir\'e cristalline pattern, a supermoir\'e long-wavelength modulation emerges that we treat adiabatically. For each…

介观与纳米尺度物理 · 物理学 2023-05-08 Daniele Guerci , Yuncheng Mao , Christophe Mora

ABCB-stacked tetralayer graphene, with intrinsic spontaneous polarization, offers a unique platform to explore electron correlation effects, whose interplay with spin-orbit coupling may engender topological phases. Here, employing a…

介观与纳米尺度物理 · 物理学 2026-01-07 Yulu Ren , Yang Shen , Chengyang Xu , Wanfei Shan , Weidong Luo

Graphene, defined as a single atomic plane of graphite, is a semimetal with small overlap between the valence and the conduction bands. The stacking of graphene up to several atomic layers can produce diverse physical properties, depending…

材料科学 · 物理学 2019-02-08 Jiliang Zhang , Guangcun Shan

We use a lowest Landau level model to study the recent observation of an anomalous Hall effect in twisted bilayer graphene. This effective model is rooted in the occurrence of Chern bands which arise due to the coupling between the graphene…

强关联电子 · 物理学 2020-04-28 Nick Bultinck , Shubhayu Chatterjee , Michael P. Zaletel

In the presence of a finite interlayer displacement field bilayer graphene has an energy gap that is dependent on stacking and largest for the stable AB and BA stacking arrangements. When the relative orientations between layers are twisted…

介观与纳米尺度物理 · 物理学 2018-07-11 Dmitry K. Efimkin , Allan H. MacDonald

Magic-angle twisted bilayer graphene is the best studied physical platform featuring moire potential induced narrow bands with non-trivial topology and strong electronic correlations. Despite their significance, the Chern insulating states…

介观与纳米尺度物理 · 物理学 2024-06-11 Xiaoyu Wang , Oskar Vafek

Two monolayers of graphene twisted by a small `magic' angle exhibit nearly flat bands leading to correlated electronic states and superconductivity, whose precise nature including possible broken symmetries, remain under debate. Here we…

强关联电子 · 物理学 2019-12-13 Jong Yeon Lee , Eslam Khalaf , Shang Liu , Xiaomeng Liu , Zeyu Hao , Philip Kim , Ashvin Vishwanath

Electronic properties of bilayer and multilayer graphene have generally been interpreted in terms of AB or Bernal stacking. However, it is known that many types of stacking defects can occur in natural and synthetic graphite; rotation of…

材料科学 · 物理学 2011-11-09 J. M. B. Lopes dos Santos , N. M. R. Peres , A. H. Castro Neto
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