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Rhombohedral (ABC-stacked) multilayer graphene hosts interaction-driven phases enabled by surface flat bands at large displacement fields. In thick flakes, however, strong screening suppresses internal electric fields, raising the question…

Mesoscale and Nanoscale Physics · Physics 2026-05-26 Kryštof Kolář , Andrea F. Young , Cyprian Lewandowski

We propose a tunable electronic band gap and zero-energy modes in periodic heterosubstrate-induced graphene superlattices. Interestingly, there is an approximate linear relation between the band gap and the proportion of inhomogeneous…

Materials Science · Physics 2016-05-04 Xiong Fan , Wenjun Huang , Tianxing Ma , Li-Gang Wang

We show that the assumption of a nontrivial zero band gap for a graphene sheet within an effective relativistic field theoretical model description of interacting Dirac electrons on the surface of graphene describes the experimental band…

Materials Science · Physics 2011-05-27 A. J. Chaves , G. D. Lima , W. de Paula , C. E. Cordeiro , A. Delfino , T. Frederico , O. Oliveira

Gap opening at the Dirac point of the single-layer graphene with periodic scalar and vector potentials has been theoretically investigated under the continuum model. The symmetry analysis indicates that the two-fold degeneracy at the Dirac…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Xin Lin , Hailong Wang , Hui Pan , Huaizhe Xu

The honeycomb lattice of graphene is a unique two-dimensional (2D) system where the quantum mechanics of electrons is equivalent to that of relativistic Dirac fermions. Novel nanometer-scale behavior in this material, including electronic…

Mesoscale and Nanoscale Physics · Physics 2009-05-29 Yuanbo Zhang , Victor W. Brar , Feng Wang , Caglar Girit , Yossi Yayon , Melissa Panlasigui , Alex Zettl , Michael F. Crommie

The electronic transport properties and band structures for the graphene-based one-dimensional (1D) superlattices with periodic squared potentials are investigated. It is found that a new Dirac point is formed, which is exactly located at…

Mesoscale and Nanoscale Physics · Physics 2013-07-25 Li-Gang Wang , Shi-Yao Zhu

The electronic properties of a material depend on the spatial freedom of the electron wavefunction. A well-known example is graphite, which is a conventional gapless semiconductor, while a single layer of it, graphene, exhibits extremely…

Mesoscale and Nanoscale Physics · Physics 2026-01-28 Mohammadamir Bazrafshan , Thomas. D. Kühne

Stacking geometry in multilayer graphene (MLG) provides an interesting degree of freedom to engineer its electronic structure near the Fermi level, wherein the linear bands in single layer graphene could retain or evolve into parabolic or…

Mesoscale and Nanoscale Physics · Physics 2026-05-28 Fred Sun , Jia-An Yan

Electronic band structures in hydrogenated graphene are theoretically investigated by means of first-principle calculations and an effective tight-binding model. It is shown that regularly designed hydrogenation to graphene gives rise to a…

Mesoscale and Nanoscale Physics · Physics 2024-08-05 Yong-Cheng Jiang , Toshikaze Kariyado , Xiao Hu

Using the variable phase method, we reformulate the Dirac equation governing the charge carriers in graphene into a nonlinear first-order differential equation from which we can treat both confined-state problems in electron waveguides and…

Mesoscale and Nanoscale Physics · Physics 2012-09-11 D. A. Stone , C. A. Downing , M. E. Portnoi

We show analytically that the ability of Dirac materials to localize an electron in both a barrier and a well can be utilized to open a pseudo-gap in graphene's spectrum. By using narrow top-gates as guiding potentials, we demonstrate that…

Mesoscale and Nanoscale Physics · Physics 2020-11-17 R. R. Hartmann , M. E. Portnoi

A two-dimensional periodic array of scatterers has been introduced to a single layer of graphene in the presence of an external magnetic field perpendicular to the graphene layer. The eigenvalue equation for such a system has been solved…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Godfrey Gumbs , Andrii Iurov , Danhong Huang , Paula Fekete , Liubov Zhemchuzhna

The band gap of periodically-doped graphene with hydrogen is investigated. It is found through a tight-binding model (TB) that for certain periodicities, called here NGPs (non-gap periodicities), no gap is opened at the Dirac point. This…

Materials Science · Physics 2010-12-15 Juan Maria Garcia-Lastra

Superconductivity in single-layer graphene has attracted considerable interest. Here, using the determinant quantum Monte Carlo method, we study transitions of superconductivity and magnetism in a monolayer graphene with a special periodic…

Strongly Correlated Electrons · Physics 2024-12-31 Jingyao Meng , Runyu Ma , Tianxing Ma , Hai-Qing Lin

We theoretically investigate the spectrum of a single electron double quantum dot, defined by top gates in a graphene with a substrate induced gap. We examine the effects of electric and magnetic fields on the spectrum of localized states,…

Mesoscale and Nanoscale Physics · Physics 2014-02-20 Martin Raith , Christian Ertler , Peter Stano , Michael Wimmer , Jaroslav Fabian

Bilayer graphene has drawn significant attention due to the opening of a band gap in its low energy electronic spectrum, which offers a promising route to electronic applications. The gap can be either tunable through an external electric…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Gregory M. Rutter , Suyong Jung , Nikolai N. Klimov , David B. Newell , Nikolai B. Zhitenev , Joseph A. Stroscio

Band gap control by an external field is useful in various optical, infrared and THz applications. However, widely tunable band gaps are still not practical due to variety of reasons. Using the orthogonal tight-binding method for…

Mesoscale and Nanoscale Physics · Physics 2017-05-03 V. A. Saroka , K. G. Batrakov , V. A. Demin , L. A. Chernozatonskii

We study the geometric and electronic structures of silicene monolayer using density functional theory based calculations. The electronic structures of silicene show that it is a semi-metal and the charge carriers in silicene behave like…

Mesoscale and Nanoscale Physics · Physics 2012-05-23 Kamal Chinnathambi

Motivated by recent proposals on strain-engineering of graphene electronic circuits we calculate conductivity, shot-noise and the density of states in periodically deformed graphene. We provide the solution to the Dirac-Kronig-Penney model,…

Mesoscale and Nanoscale Physics · Physics 2010-10-13 S. Gattenloehner , W. Belzig , M. Titov

Electrostatic gating lies in the heart of modern FET-based integrated circuits. Usually, the gate electrode has to be placed very close to the conduction channel, typically a few nanometers, in order to achieve efficient tunability.…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 Aolin Deng , Cheng Hu , Peiyue Shen , Xingdong Luo , Jiajun Chen , Bosai Lyu , Kenji Watanabe , Takashi Taniguchi , Qi Liang , Jie Ma , Zhiwen Shi