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The quantum Hall effect in graphene is regarded to be involving half-integer topological numbers associated with the massless Dirac particle, this is usually not apparent due to the doubling of the Dirac cones. Here we theoretically…

Mesoscale and Nanoscale Physics · Physics 2012-04-30 H Watanabe , Y Hatsugai , H Aoki

Ultrafast optical pump-probe spectroscopy measurement on monolayer graphene observes significant optical nonlinearities. We show that strongly photoexcited graphene monolayers with 35 fs pulses quasi-instantaneously build up a broadband,…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Junhua Zhang , Joerg Schmalian , Tianqi Li , Jigang Wang

Triple-component fermions are pseudospin-1 quasiparticles hosted by certain three-band semimetals in the vicinity of their band-touching nodes [Phys. Rev. B {\bf 100}, 235201 (2019)]. The excitations comprise of a flat band and two…

Mesoscale and Nanoscale Physics · Physics 2022-02-08 Ojasvi Pal , Bashab Dey , Tarun Kanti Ghosh

Magic-angle twisted bilayer graphene exhibits quasi-flat low-energy bands with Van Hove singularities close to the Fermi level. These singularities play an important role in the exotic phenomena observed in this material, such as…

Mesoscale and Nanoscale Physics · Physics 2022-12-08 Aleksander Sanjuan Ciepielewski , Jakub Tworzydło , Timo Hyart , Alexander Lau

It is supposed the existence of a curved graphene sheet with the geometry of a Bour surface $B_{n}$, such as the catenoid (or helicoid), $B_{0}$, and the classical Enneper surface, $B_{2}$, among others. In particular, in this work, the…

Mesoscale and Nanoscale Physics · Physics 2022-07-13 Víctor A. González-Domínguez , Juan A Reyes-Nava , Pavel Castro-Villarreal

Rhombohedral multilayer graphene, with its flat electronic bands and concentrated Berry curvature, is a promising material for the realization of correlated topological phases of matter. When aligned to an adjacent hexagonal boron nitride…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 Samuel H. Aronson , Tonghang Han , Zhengguang Lu , Yuxuan Yao , Kenji Watanabe , Takashi Taniguchi , Long Ju , Raymond C. Ashoori

We consider the impact of Berry phase on the Wigner crystal (WC) state of a two-dimensional electron system. We consider first a model of Bernal bilayer graphene with a perpendicular displacement field, and we show that Berry curvature…

Strongly Correlated Electrons · Physics 2025-12-23 Sandeep Joy , Leonid Levitov , Brian Skinner

We construct a theory for the semiclassical dynamics of superconducting quasiparticles by following their wave-packet motion and reveal rich contents of Berry curvature effects in the phase-space spanned by position and momentum. These…

Superconductivity · Physics 2021-05-12 Zhi Wang , Liang Dong , Cong Xiao , Qian Niu

In two dimensions chaotic level-statistics is expected for massless Dirac fermions in the presence of disorder. For weakly disordered graphene flakes with zigzag edges the obtained level-spacing distribution in the Dirac region is neither…

Disordered Systems and Neural Networks · Physics 2013-02-12 H. Amanatidis , I. Kleftogiannis , D. E. Katsanos , S. N. Evangelou

An analytical study of low-energy electronic excited states in an uniformly strained graphene is carried out up to second-order in the strain tensor. We report an new effective Dirac Hamiltonian with an anisotropic Fermi velocity tensor,…

Mesoscale and Nanoscale Physics · Physics 2017-08-18 Maurice Oliva-Leyva , Chumin Wang

We study the effect of extended charge defects in electronic transport properties of graphene. Extended defects are ubiquitous in chemically and epitaxially grown graphene samples due to internal strains associated with the lattice…

Mesoscale and Nanoscale Physics · Physics 2011-04-18 A. Ferreira , Xiangfan Xu , Chang-Lin Tan , Sukang Bae , N. M. R. Peres , Byung-Hee Hong , Barbaros Ozyilmaz , A. H. Castro Neto

Breaking lattice symmetry is crucial for generating a nonzero Berry curvature. While manipulating twisting angles between adjacent layers has successfully broken lattice symmetry through strain field and generated nonzero Berry curvature,…

Mesoscale and Nanoscale Physics · Physics 2024-12-19 Jie Pan , Huanhuan Wang , Lin Zou , Haibo Xie , Yi Ding , Yuze Zhang , Aiping Fang , Zhe Wang

The interplay of graphene and superconductivity has attracted great interest for understanding the two-dimensional Dirac Fermion physics and for superconducting device applications. In previous work, graphene-superconductor junctions…

Mesoscale and Nanoscale Physics · Physics 2013-05-10 Naomi Mizuno , Bent Nielsen , Xu Du

High-mobility graphene hosting massless charge carriers with linear dispersion provides a promising platform for electron optics phenomena. Inspired by the physics of dielectric optical micro-cavities where the photon emission…

Mesoscale and Nanoscale Physics · Physics 2022-12-15 Jule-Katharina Schrepfer , Szu-Chao Chen , Ming-Hao Liu , Klaus Richter , Martina Hentschel

The electron transport between two zigzag graphene nanoribbons (ZGNRs) connected by carbon atomic chains has been investigated by the nonequilibrium Green's function method combined with the density functional theory. The symmetry of the…

Mesoscale and Nanoscale Physics · Physics 2013-09-13 Yao-Jun Dong , Xue-Feng Wang , Ming-Xing Zhai , Jian-Chun Wu , Liping Zhou , Qin Han , Xue-Mei Wu

Frequency dependent conductivity of Coulomb interacting massless Dirac fermions coupled to random scalar and random vector potentials is found as a function of frequency in the regime controlled by a line of fixed points. Such model…

Disordered Systems and Neural Networks · Physics 2008-10-22 Oskar Vafek

The low-temperature phase diagram of multilayer graphene heterostructures is largely defined by the exchange-driven instability that lifts the four-fold isospin degeneracy. Such instability gives rise to the quarter- and half-metal phases,…

Mesoscale and Nanoscale Physics · Physics 2023-03-02 Jiang-Xiazi Lin , Yibang Wang , Naiyuan J. Zhang , Kenji Watanabe , Takashi Taniguchi , Liang Fu , J. I. A. Li

We investigate interaction effects in transport phenomena in bilayer graphene (BLG). For the minimal conductivity in pristine BLG, we find that the conductivity assumes a constant value in the limit $T\to 0$, with the first correction being…

Mesoscale and Nanoscale Physics · Physics 2013-03-14 Jonathan Lux , Lars Fritz

We study the electronic structure of Dirac fermions scattered by double barrier potential in graphene under strain effect. We show that traction and compression strains can be used to generate fermion beam collimation, 1D channels, surface…

Mesoscale and Nanoscale Physics · Physics 2019-07-01 El Bouâzzaoui Choubabi , Abdellatif Kamal , Ahmed Jellal , Hocine Bahlouli

We report measurements of the cyclotron mass in graphene for carrier concentrations n varying over three orders of magnitude. In contrast to the single-particle picture, the real spectrum of graphene is profoundly nonlinear so that the…