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Electronic structures and their Landau quantizations in twisted graphene bilayer and trilayer are investigated using scanning tunnelling microscopy and spectroscopy. In the twisted trilayer, the top graphene layer and second layer are AB…

Mesoscale and Nanoscale Physics · Physics 2015-01-09 Long-Jing Yin , Jia-Bin Qiao , Wei Yan , Rui Xu , Rui-Fen Dou , Jia-Cai Nie , Lin He

In this review, we provide an in-depth description of the physics of monolayer and bilayer graphene from a theorist's perspective. We discuss the physical properties of graphene in an external magnetic field, reflecting the chiral nature of…

Materials Science · Physics 2014-11-20 D. S. L. Abergel , V. Apalkov , J. Berashevich , K. Ziegler , Tapash Chakraborty

The transport properties of a twisted bilayer graphene barrier are investigated for various twist angles. Remarkably, for small twist angles around the magic angle $\theta_m \sim 1.05^{\circ}$, the local currents around the AA-stacked…

Mesoscale and Nanoscale Physics · Physics 2020-07-28 D. A. Bahamon , G. Gómez-Santos , T. Stauber

Bilayer graphene (two coupled graphitic monolayers arranged according to Bernal stacking) is a two-dimensional gapless semiconductor with a peculiar electronic spectrum different from the Dirac spectrum in the monolayer material. In…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. Kechedzhi , Vladimir I. Fal'ko , E. McCann , B. L. Altshuler

Multilayer graphene lattices allow for an additional tunability of the band structure by the strong perpendicular electric field. In particular, the emergence of the new multiple Dirac points in ABA stacked trilayer graphene subject to…

Mesoscale and Nanoscale Physics · Physics 2020-06-11 Peng Rao , Maksym Serbyn

We review the theoretical and experimental results connected with the electron states in two-dimensional Dirac systems paying a special attention to the atomic collapse in graphene. Two-electron bound states of a Coulomb impurity are…

Strongly Correlated Electrons · Physics 2018-06-15 E. V. Gorbar , V. P. Gusynin , O. O. Sobol

We study in this paper the edge polarizations and their consequences for a biased Bernal stacked bilayer graphene nanoribbon with zigzag termination. The magnetic states are classified according to the interlayer and intralayer couplings…

Mesoscale and Nanoscale Physics · Physics 2013-04-15 Lihua Pan , Jin An , Yong-Jun Liu

The electronic structure of Bernal-stacked graphite subject to tilted magnetic fields has been investigated using infrared magneto-transmission experiments. With the increasing in-plane component of the magnetic field B, we observe…

Mesoscale and Nanoscale Physics · Physics 2012-10-17 N. A. Goncharuk , L. Nadvornik , C. Faugeras , M. Orlita , L. Smrcka

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…

Mesoscale and Nanoscale Physics · Physics 2013-02-22 Takahiro Morimoto , Mikito Koshino

We study the conductance of a biased bilayer graphene flake with monolayer nanoribbon contacts. We find that the transmission through the bilayer ribbon strongly depends on the applied bias between the two layers and on the relative…

Mesoscale and Nanoscale Physics · Physics 2011-05-18 J. W. González , H. Santos , E. Prada , L. Brey , L. Chico

We study the electronic structure of two Dirac electron gazes coupled by a periodic Hamiltonian such as it appears in rotated graphene bilayers. Ab initio and tight-binding approaches are combined and show that the spatially periodic…

Mesoscale and Nanoscale Physics · Physics 2010-09-03 Guy Trambly de Laissardière , Didier Mayou , Laurence Magaud

Trilayer graphene exhibits valley-protected gapless states when the stacking order changes from ABC to CBA and a gate voltage is applied to outer layers. Some of these states survive strong distortions of the trilayer. For example, they…

Mesoscale and Nanoscale Physics · Physics 2023-09-29 Wlodzimierz Jaskolski

The semi-Dirac semi-Weyl semi-metal has been of interest in recent years due to its naturally occurring point Fermi surface and the associated exotic band-structure near the Fermi surface, which is linear (graphene-like) in one direction of…

Strongly Correlated Electrons · Physics 2015-08-25 Swapnonil Banerjee

Vacancy-induced magnetism in graphene bilayers is investigated using spin-polarized density functional theory calculations. One of two graphene layers has a monovacancy. Two atomic configurations for bilayers are considered with respect to…

Other Condensed Matter · Physics 2009-11-13 Sangkook Choi , Byoung Wook Jeong , Seungchul Kim , Gunn Kim

Gate-tunable spin-dependent properties could be induced in graphene at room temperature through magnetic proximity effect by placing it in contact with a metallic ferromagnet. Because strong chemical bonding with the metallic substrate…

Mesoscale and Nanoscale Physics · Physics 2020-11-17 Mihovil Bosnar , Ivor Lončarić , P. Lazić , K. D. Belashchenko , Igor Žutić

The surface states of a topological insulator are described by an emergent relativistic massless Dirac equation in 2+1 dimensions. In contrast to graphene, there is an odd number of Dirac points, and the electron spin is directly coupled to…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Qin Liu , Chao-Xing Liu , Cenke Xu , Xiao-Liang Qi , Shou-Cheng Zhang

Coherent spin-dependent transport through a junction containing of Normal/Ferromagnetic/Normal bilayer graphene nanoribbon with zigzag edges is investigated by using Landauer formalism. In a more realistic set-up, the exchange field is…

Mesoscale and Nanoscale Physics · Physics 2014-03-05 Vahid Derakhshan , Hosein Cheraghchi

Extended defects in graphene, such as linear edges, break the translational invariance and can also have an impact on the symmetries specific to massless Dirac-like quasiparticles in this material. The paper examines the consequences of a…

Mesoscale and Nanoscale Physics · Physics 2009-05-25 Grigory Tkachov , Martina Hentschel

We show that the twisted graphene bilayer can reveal unusual topological properties at low energies, as a consequence of a Dirac-point splitting. These features rely on a symmetry analysis of the electron hopping between the two layers of…

Mesoscale and Nanoscale Physics · Physics 2011-07-21 R. de Gail , M. O. Goerbig , F. Guinea , G. Montambaux , A. H. Castro Neto

Atomic defects have a significant impact in the low-energy properties of graphene systems. By means of first-principles calculations and tight-binding models we provide evidence that chemical impurities modify both the normal and the…

Materials Science · Physics 2019-08-21 Alejandro Lopez-Bezanilla , Jose L. Lado