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The $\pi$-electronic structure of graphene in the presence of a modulated electric potential is investigated by the tight-binding model. The low-energy electronic properties are strongly affected by the period and field strength. Such a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 J. H. Ho , Y. H. Chiu , S. J. Tsai , M. F. Lin

We investigate the band structure of twisted monolayer-bilayer graphene (tMBG), or twisted graphene on bilayer graphene (tGBG), as a function of twist angles and perpendicular electric fields in search of optimum conditions for achieving…

Mesoscale and Nanoscale Physics · Physics 2020-07-15 Youngju Park , Bheema Lingam Chittari , Jeil Jung

Twisted bilayer graphene (tBLG) has emerged as a promising platform to explore exotic electronic phases. However, the formation of moir\'e patterns in tBLG has thus far been confined to the introduction of twist angles between the layers.…

Materials Science · Physics 2023-10-10 Gabriel R. Schleder , Michele Pizzochero , Efthimios Kaxiras

Tight-binding calculations predict that the AA-stacked graphene bilayer has one electron and one hole conducting bands, and that the Fermi surfaces of these bands coincide. We demonstrate that as a result of this degeneracy, the bilayer…

Mesoscale and Nanoscale Physics · Physics 2012-11-30 A. L. Rakhmanov , A. V. Rozhkov , A. O. Sboychakov , Franco Nori

The electronic excitations of bilayer graphene (BLG) under a magnetic field are investigated with the use of the Peierls tight-binding model in conjunction with random-phase approximation (RPA). The interlayer atomic interactions,…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Jhao-Ying Wu , Godfrey Gumbs , Ming-Fa Lin

The in-plane shear modes between neighbor-layers of 2-4 layer graphenes (LGs) and the corresponding graphene scrolls rolled up by 2-4LGs were investigated by Raman scattering. In contrast to that just one shear mode was observed in 3-4LGs,…

Materials Science · Physics 2014-06-11 Ping-Heng Tan , Jiang-Bin Wu , Wen-Peng Han , Wei-Jie Zhao , Xin Zhang , Hui Wang , Yu-Fang Wang

We study edge states in AB-stacked bilayer graphene (BLG) ribbon where the Chern number of the corresponding two-dimensional (2D) bulk Hamiltonian is zero. The existence and topological features of edge states when two layers ended with the…

Mesoscale and Nanoscale Physics · Physics 2021-12-22 Tixuan Tan , Ci Li , Wang Yao

We study interlayer transport of multilayer graphenes in magnetic field with various stacking structures (AB, ABC, and AA types) by calculating the Hall and longitudinal conductivities as functions of Fermi energy. Their behavior depends…

Mesoscale and Nanoscale Physics · Physics 2012-01-23 Takeo Wakutsu , Masaaki Nakamura , Balázs Dóra

In our previous paper (Phys. Rev. B {\bf 89}, 165430 (2014)) we have found that in graphene, in distinction to the four occupied bands, which can be described by the simple tight-binding model (TBM) with four atomic orbitals per atom, the…

Mesoscale and Nanoscale Physics · Physics 2017-09-26 E. Kogan , V. M. Silkin

We developed the generalized tight-binding model to study the magneto-electronic properties of AAB-stacked trilayer graphene. Three groups of Landau levels (LLs) are characterized by the dominating subenvelope function on distinct…

Materials Science · Physics 2015-04-02 Thi-Nga Do , Chiun-Yan Lin , Yi-Ping Lin , Po-Hsin Shih , Ming-Fa Lin

Twisted two-dimensional structures open new possibilities in band structure engineering. At magic twist angles, flat bands emerge, which give a new drive to the field of strongly correlated physics. In twisted double bilayer graphene dual…

The intrinsic resistance peak (ridge) structures were recently found to appear in the carrier density dependence plot of the resistance of the AB-stacked multilayer graphene with even numbers of layers.The ridges are due to topological…

Mesoscale and Nanoscale Physics · Physics 2020-01-29 Tomoaki Nakasuga , Taiki Hirahara , Kota Horii , Ryoya Ebisuoka , Shingo Tajima , Kenji Watanabe , Takashi Taniguchi , Ryuta Yagi

The recent discovery of graphene has sparked significant interest, which has so far been focused on the peculiar electronic structure of this material, in which charge carriers mimic massless relativistic particle. However, the structure of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jannik C. Meyer , A. K. Geim , M. I. Katsnelson , K. S. Novoselov , T. J. Booth , S. Roth

In this work we study theoretically the electronic properties of a sheet of graphene grown on a periodic heterostructure substrate. We write an effective Dirac equation, which includes a dependence of both the band gap and the Fermi…

Materials Science · Physics 2014-11-12 Jonas R. F. Lima , F. Moraes

Si dangling bonds without H termination at the interface of quasi-free standing monolayer graphene (QFMLG) are known scattering centers that can severely affect carrier mobility. In this report, we study the atomic and electronic structure…

Multilayer graphene (MLG) grown by chemical vapor deposition (CVD) is a promising material for electronic and optoelectronic devices. Understanding the stacking configuration and interlayer coupling of MLGs is technologically relevant and…

Materials Science · Physics 2016-09-27 Jiang-Bin Wu , Huan Wang , Xiao-Li Li , Hailin Peng , Ping-Heng Tan

We introduce a minimum tight-binding model with only three parameters extracted from graphene and untwisted bilayer graphene. This model reproduces quantitatively the electronic structure of not only these two systems and bulk graphite near…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 Xianqing Lin , David Tománek

Moir\'e superlattices in twisted homo-bilayers have revealed exotic electronic states, including unconventional superconductivity and correlated insulating phases. However, their fabrication process often introduces moir\'e disorders,…

Mesoscale and Nanoscale Physics · Physics 2025-02-13 Zeyu Liu , Xianghua Kong , Zewen Wu , Linwei Zhou , Jingsi Qiao , Wei Ji

Graphene antidot lattices constitute a novel class of nano-engineered graphene devices with controllable electronic and optical properties. An antidot lattice consists of a periodic array of holes which causes a band gap to open up around…

We investigate theoretically the interplay between the effects of a perpendicular electric field and incommensurability at the interface on the electronic properties of a heterostructure of bilayer graphene and a semiconducting substrate…

Mesoscale and Nanoscale Physics · Physics 2016-11-02 D. J. Leech , M. Mucha-Kruczyński