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The electronic dispersion of a graphene bilayer is highly dependent on rotational mismatch between layers and can be further manipulated by electrical gating. This allows for an unprecedented control over electronic properties and opens up…

Materials Science · Physics 2016-08-31 Johannes C. Rode , Dmitri Smirnov , Hennrik Schmidt , Rolf J. Haug

We study the dynamics of the electrons in a non-uniform magnetic field applied perpendicular to a graphene sheet in the low energy limit when the excitation states can be described by a Dirac type Hamiltonian. We show that as compared to…

Mesoscale and Nanoscale Physics · Physics 2008-02-22 P. Rakyta , L. Oroszlany , A. Kormanyos , C. J. Lambert , J. Cserti

We consider confinement of Dirac fermions in $AB$-stacked bilayer graphene by inhomogeneous on-site interactions, (pseudo-)magnetic field or inter-layer interaction. Working within the framework of four-band approximation, we focus on the…

Mesoscale and Nanoscale Physics · Physics 2022-01-12 Miguel Castillo-Celeita , Vít Jakubský , Kevin Zelaya

We report scanning tunneling microscopy (STM) and spectroscopy (STS) of twisted graphene bilayer on SiC substrate. For twist angle ~ 4.5o the Dirac point ED is located about 0.40 eV below the Fermi level EF due to the electron doping at the…

Strongly Correlated Electrons · Physics 2015-06-03 Lan Meng , Yanfeng Zhang , Wei Yan , Lei Feng , Lin He , Rui-Fen Dou , Jia-Cai Nie

Close to charge neutrality, the low-energy properties of high-quality suspended devices based on atomically thin graphene layers are determined by electron-electron interactions. Bernal-stacked layers, in particular, have shown a remarkable…

Strongly Correlated Electrons · Physics 2016-10-20 Youngwoo Nam , Dong-Keun Ki , Mikito Koshino , Edward McCann , Alberto F. Morpurgo

We identify qualitative trends in the stacking sequence dependence of carrier-carrier interaction phenomena in multilayer graphene. Our theory is based on a new approach which explicitly exhibits the important role in interaction phenomena…

Mesoscale and Nanoscale Physics · Physics 2016-09-30 Yunsu Jang , E. H. Hwang , A. H. MacDonald , Hongki Min

Landau level bending near the edge of graphene, described using 2d Dirac equation, provides a microscopic framework for understanding the quantum Hall Effect (QHE) in this material. We review properties of the QHE edge states in graphene,…

Mesoscale and Nanoscale Physics · Physics 2008-04-13 Dmitry A. Abanin , Patrick A. Lee , Leonid S. Levitov

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…

Mesoscale and Nanoscale Physics · Physics 2014-04-01 Xingting Gong , E. J. Mele

Strain has been extensively employed to tailor graphene's properties and has emerged as a powerful tool for engineering gauge fields and exploring fundamental phenomena in artificial platforms like photonic graphene. Here we discover that,…

Optics · Physics 2025-09-26 Yongsheng Liang , Shiqi Xia , Daohong Song , Hrvoje Buljan , Zhigang Chen

We derive a model of localized edge states in the finite width strip for two-dimensional electron gas formed in the hybrid system of bismuth monolayer deposited on the silicon interface and described by the nearly-free electron model with…

Mesoscale and Nanoscale Physics · Physics 2014-04-09 D. V. Khomitsky , A. A. Chubanov

We investigate the effect of spin-orbit coupling on the band structure of graphene-based two-dimensional Dirac fermion gases in the quantum Hall regime. Taking monolayer graphene as our first candidate, we show that a quantum phase…

Mesoscale and Nanoscale Physics · Physics 2013-06-11 Pierre Carmier , Oleksii Shevtsov , Christoph Groth , Xavier Waintal

We present a theoretical study on the electron transmission through the AB-BA stacking boundary in multilayer graphene. Using the tight-binding model and the transfer matrix method, we calculate the electron transmission probability through…

Materials Science · Physics 2015-08-05 Nguyen N. T. Nam , Mikito Koshino

We present non-linear transport measurements on suspended, current annealed bilayer graphene devices. Using a multi-terminal geometry we demonstrate that devices tend to be inhomogeneous and host two different electronic phases next to each…

Mesoscale and Nanoscale Physics · Physics 2012-11-14 Frank Freitag , Markus Weiss , Romain Maurand , Jelena Trbovic , Christian Schönenberger

In this work, the tridiagonal method is used to distinguish between edges modes and area modes to study the edge sites properties effect on edge localized states of semi-infinite zigzag 2D honeycomb graphene sheet. The results show a…

Mesoscale and Nanoscale Physics · Physics 2011-10-25 Maher Ahmed

The folding of monolayer graphene leads to new layered systems, termed twisted bilayer graphene (TBG), generally displaying a certain interlayer rotation away from crystallographic alignment. We here present an atomic force microscopy study…

Materials Science · Physics 2016-08-30 Johannes C. Rode , Christopher Belke , Hennrik Schmidt , Rolf J. Haug

Stacking two-dimensional layered materials such as graphene and transitional metal dichalcogenides with nonzero interlayer twist angles has recently become attractive because of the emergence of novel physical properties. Stacking of…

The incommensurate 30$^{\circ}$ twisted bilayer graphene (BG) possesses both relativistic Dirac fermions and quasiperiodicity with 12-fold rotational symmetry arising from the interlayer interaction…

Mesoscale and Nanoscale Physics · Physics 2022-03-14 Guodong Yu , Yunhua Wang , Mikhail I. Katsnelson , Hai-Qing Lin , Shengjun Yuan

Using ab initio calculations, we study the electronic and structural properties of vacancies and hydrogen adsorbates on trilayer graphene. Those defects are found to share similar low-energy electronic features, since they both remove a pz…

Materials Science · Physics 2015-08-19 Marcos G. Menezes , Rodrigo B. Capaz

We present a comparative study of high carrier density transport in mono-, bi-, and trilayer graphene using electric-double-layer transistors to continuously tune the carrier density up to values exceeding 10^{14} cm^{-2}. Whereas in…

Mesoscale and Nanoscale Physics · Physics 2016-07-13 J. T. Ye , M. F. Craciun , M. Koshino , S. Russo , S. Inoue , H. T. Yuan , H. Shimotani , A. F. Morpurgo , Y. Iwasa

We study the influence of different edge types on the electronic density of states of graphene nanostructures. To this end we develop an exact expansion for the single particle Green's function of ballistic graphene structures in terms of…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 J. Wurm , K. Richter , I. Adagideli
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