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Graphene is intrinsically non-flat and corrugates randomly. Since the corrugating physics of atomically-thin graphene is strongly tied to its electronics properties, randomly corrugating morphology of graphene poses significant challenge to…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 Teng Li

Small-twist-angle bilayer graphene supports strongly correlated insulating states and superconductivity. Twisted few-layer graphene systems are likely to open up new directions for strong correlation physics in moir\'e superlattices. We…

Materials Science · Physics 2019-07-30 Xiao Li , Fengcheng Wu , Allan H. MacDonald

Experiments are finally revealing intricate facts about graphene which go beyond the ideal picture of relativistic Dirac fermions in pristine two dimensional (2D) space, two years after its first isolation. While observations of rippling…

Other Condensed Matter · Physics 2009-11-13 Eun-Ah Kim , A. H. Castro Neto

Equilateral triangle-shaped graphene nanoislands with a lateral dimension of $n$ benzene rings are known as $[n]$triangulenes. Individual $[n]$triangulenes are open-shell molecules, with single-particle electronic spectra that host $n-1$…

Mesoscale and Nanoscale Physics · Physics 2023-09-13 R. Ortiz , G. Catarina , J. Fernández-Rossier

The atomic structure, stacking sequences and electronic structure of folded graphene nanoribbons (FGNRs) are investigated by first-principles calculations. It reveals that the common configurations of all FGNRs are racket-like structures…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Wenjin Yin , Yuee Xie , Li-Min Liu , Yuanping Chen , Ru-Zhi Wang , Xiao-Lin Wei , Leo Lau

We present a comprehensive first-principles study of twisted bilayer graphene (tBLG) for a wide range of twist angles, with a focus on structural and electronic properties. By employing density functional theory (DFT) with an optimized…

Mesoscale and Nanoscale Physics · Physics 2026-05-13 Albert Zhu , Daniel Bennett , Daniel T. Larson , Mohammed M. Al Ezzi , Efstratios Manousakis , Efthimios Kaxiras

While preserving many of the unusual features of single-layer graphene, few-layer graphene (FLG) provides a richness and flexibility of electronic structure that render this set of materials of great interest for both fundamental studies…

Mesoscale and Nanoscale Physics · Physics 2009-08-04 Kin Fai Mak , Matthew Y. Sfeir , James A. Misewich , Tony F. Heinz

Among the many interesting features displayed by graphene, one of the most attractive is the simplicity with which its electronic structure can be described. The study of its physical properties is significantly simplified by the linear…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 S. R. Power , M. S. Ferreira

Twisted bilayer graphene (TBG) exhibits a wide range of intriguing physical properties, such as superconductivity, ferromagnetism, and superlubricity. Depending on the twist angle, periodic moir\'e superlattices form in twisted bilayer…

Mesoscale and Nanoscale Physics · Physics 2022-06-07 Vahid Morovati , Zhiming Xue , Kenneth M. Liechti , Rui Huang

There is an increasing interest in the electronic properties of few layer graphene as it offers a platform to study electronic interactions because the dispersion of bands can be tuned with number and stacking of layers in combination with…

We investigate the electronic transport properties of a bilayer graphene flake contacted by two monolayer nanoribbons. Such a finite-size bilayer flake can be built by overlapping two semiinfinite ribbons or by depositing a monolayer flake…

Mesoscale and Nanoscale Physics · Physics 2010-09-23 J. W. Gonzalez , H. Santos , M. Pacheco , L. Chico , L. Brey

Band structure determines the motion of electrons in a solid, giving rise to exotic phenomena when properly engineered. Drawing an analogy between electrons and photons, artificially designed optical lattices indicate the possibility of a…

Mesoscale and Nanoscale Physics · Physics 2019-11-01 Siqi Wang , Xianqing Lin , Mervin Zhao , Changjian Zhang , Sui Yang , Yuan Wang , Kenji Watanabe , Takashi Taniguchi , James Hone , David Tomanek , Xiang Zhang

Charge-neutral conducting systems represent a class of materials with unusual properties governed by electron-hole (e-h) interactions. Depending on the quasiparticles' statistics, band structure, and device geometry these semimetallic…

Mesoscale and Nanoscale Physics · Physics 2023-03-23 D. A. Bandurin , A. Principi , I. Y. Phinney , T. Taniguchi , K. Watanabe , P. Jarillo-Herrero

One- and two-dimensional bilayer systems are examples of ultra-tunable quantum materials that are considered as the basis for the new generation of electronic and photonic devices. Here we develop a general theory of the electron band…

Mesoscale and Nanoscale Physics · Physics 2022-06-22 D. V. Chalin , D. I. Levshov , A. E. Myasnikova , S. B. Rochal

It is shown that for monolayer graphene electrons are confined on a perfect two dimensional surface. The implications for the electronic properties of corrugated graphene are discussed in view of a derivation of the constrained relativistic…

Materials Science · Physics 2015-05-18 Victor Atanasov , Avadh Saxena

The recently synthesized 30$^\circ$ twisted bilayer graphene (30$^\circ$-TBG) systems are unique quasicrystal systems possessing dodecagonal symmetry with graphene's relativistic properties. We employ a real-space numerical atomistic…

Mesoscale and Nanoscale Physics · Physics 2024-11-19 Kevin J. U. Vidarte , Caio Lewenkopf

In this review, we present recent works on materials whose common point is the presence of electronic bands of very low dispersion, called "flat bands", which are due to specific atomic order effects without electron interactions. These…

We investigate the fine structure of the edge states energy spectrum for zigzag and armchair ribbons of graphene in a strong magnetic field. At low energy, the spectra can be described by an effective Schrodinger Hamiltonian with a double…

Mesoscale and Nanoscale Physics · Physics 2011-01-05 Pierre Delplace , Gilles Montambaux

A computational method is developed whereby the reflectivity of low-energy electrons from a surface can be obtained from a first-principles solution of the electronic structure of the system. The method is applied to multilayer graphene.…

Mesoscale and Nanoscale Physics · Physics 2014-01-21 R. M. Feenstra , M. Widom

Electronic properties of two-dimensional graphene superlattice made with partial hydrogenation were thoroughly studied via Density Functional Tight Binding approach (DFTB) which incorporates the tight-binding method into the density…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Ming Yang , Argo Nurbawono , Chun Zhang , Ariando , Yuan Ping Feng