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We derive an effective field-theoretical model for the one-dimensional collective mode associated with a domain wall in a quantum Hall ferromagnetic state, as realized in confined graphene systems at zero filling. To this end, we consider…

强关联电子 · 物理学 2015-06-05 Victoria Mazo , H. A. Fertig , Efrat Shimshoni

The quantum Hall (QH) effect, a topologically non-trivial quantum phase, expanded and brought into focus the concept of topological order in physics. The topologically protected quantum Hall edge states are of crucial importance to the QH…

We study the electronic structures of ABA (Bernal) stacked multilayer graphenes in uniform perpendicular electric field, and show that the interplay of the trigonal warping and the potential asymmetry gives rise to a number of emergent…

介观与纳米尺度物理 · 物理学 2013-02-22 Takahiro Morimoto , Mikito Koshino

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

We show that strained or deformed honeycomb lattices are promising platforms to realize fractional topological quantum states in the absence of any magnetic field. The strained induced pseudo magnetic fields are oppositely oriented in the…

强关联电子 · 物理学 2012-07-04 P. Ghaemi , J. Cayssol , D. N. Sheng , A. Vishwanath

Nonuniform strain in graphene can induce a pseudo-magnetic field (PMF) preserving time-reversal symmetry, generating pseudo-Landau levels under zero real magnetic field (MF). The different natures between PMF and real MF lead to the…

介观与纳米尺度物理 · 物理学 2024-10-31 Jing-Yun Fang , Yu-Chen Zhuang , Qing-Feng Sun

Nontrivial interacting phases can emerge in elementary materials. As a prime example, continuing advances in device quality have facilitated the observation of a variety of spontaneous quantum Hall-like states, a cascade of Stoner-like…

介观与纳米尺度物理 · 物理学 2024-08-30 Felix Winterer , Fabian R. Geisenhof , Noelia Fernandez , Anna M. Seiler , Fan Zhang , R. Thomas Weitz

Twisted bilayer graphene offers a unique bilayer two-dimensional-electron system where the layer separation is only in sub-nanometer scale. Unlike Bernal-stacked bilayer, the layer degree of freedom is disentangled from spin and valley,…

Monolayer graphene under a strong magnetic field near charge neutrality manifests the integer and fractional quantum Hall effects. Since only some of the four spin/valley flavors available to the electrons in each Landau level manifold are…

介观与纳米尺度物理 · 物理学 2025-01-14 Jincheng An , Ajit C. Balram , Udit Khanna , Ganpathy Murthy

We analyze the dissipative conductance of the zero-plateau quantum Hall state appearing in undoped graphene in strong magnetic fields. Charge transport in this state is assumed to be carried by a magnetic domain wall, which forms by…

介观与纳米尺度物理 · 物理学 2009-06-02 Efrat Shimshoni , H. A. Fertig , G. Venketeswara Pai

Flat bands in graphitic materials emerged as a platform for realizing tunable correlated physics. As a nodal-line semimetal, rhombohedral graphite features flat drumhead surface states in the vicinity of the Dirac points, which carry a…

介观与纳米尺度物理 · 物理学 2025-12-24 Xiaoqian Liu , Yifei Guan , Oleg V. Yazyev

The electronic properties of graphene can be manipulated via mechanical deformations, which opens prospects for studying the Dirac fermions in new regimes and for new device applications. Certain natural configurations of strain generate…

介观与纳米尺度物理 · 物理学 2012-08-10 D. A. Abanin , D. A. Pesin

Fully taking into account of the honeycomb lattice structure, fractional quantum Hall states of graphene are considered by a pseudopotential projected into the n = 0 Landau band. By using a chirality as an internal degree of freedom, the…

强关联电子 · 物理学 2018-05-16 Koji Kudo , Yasuhiro Hatsugai

Based on the tight-binding model calculations and photonic experimental visualization on graphene, we report the domain-wall-induced gapped topological kink states and topological corner states. In graphene, domain walls with gapless…

介观与纳米尺度物理 · 物理学 2020-05-26 Yuting Yang , Ziyuan Jia , Yijia Wu , Zhi-Hong Hang , Hua Jiang , X. C. Xie

We consider a rhombohedral-stacked $N$-layer graphene coupled to a monolayer of Haldane model. We show that high order Dirac points in multilayer graphene can be gapped out by topological proximity effect of the Haldane model layer, leading…

介观与纳米尺度物理 · 物理学 2025-12-25 Yuejiu Zhao , Long Zhang , Fu-Chun Zhang

Inducing superconducting correlations in chiral edge states is predicted to generate topologically protected zero energy modes with exotic quantum statistics. Experimental efforts to date have focused on engineering interfaces between…

Electronic states at domain walls in bilayer graphene are studied by analyzing their four and two band continuum models, by performing numerical calculations on the lattice, and by using quantum geometric arguments. The continuum theories…

介观与纳米尺度物理 · 物理学 2013-06-28 Fan Zhang , A. H. MacDonald , E. J. Mele

Recent experiments on pentalayer rhombohedral graphene moir\'e superlattices have observed the quantum anomalous Hall effect at moir\'e filling factor of $\nu = 1$ and various fractional values. These phenomena are attributed to a flat…

强关联电子 · 物理学 2024-12-30 Koji Kudo , Ryota Nakai , Kentaro Nomura

The quantum Hall (QH) effect, the quantum spin Hall (QSH) effect and the quantum valley Hall (QVH) effect are three peculiar topological insulating phases in graphene. They are characterized by three different types of edge states. These…

介观与纳米尺度物理 · 物理学 2024-10-30 Yu-Chen Zhuang , Qing-Feng Sun

The fractional quantum Hall effect is a very particular manifestation of electronic correlations in two-dimensional systems in a strong perpendicular magnetic field. It arises as a consequence of a strong Coulomb repulsion between electrons…

介观与纳米尺度物理 · 物理学 2022-07-08 Mark O. Goerbig