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A continuum model to study the influence of dislocations on the electronic properties of condensed matter systems is described and analyzed. The model is based on a geometrical formalism that associates a density of dislocations with the…

Mesoscale and Nanoscale Physics · Physics 2012-03-22 Fernando de Juan , Alberto Cortijo , María A. H. Vozmediano

The wavefront dislocation is an important and ubiquitous phenomenon in wave fields. It is closely related to the phase singularity in a wave function. Some recent studies have verified that the wavefront dislocations in the local density of…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Yu-Chen Zhuang , Qing-Feng Sun

Charge transport at the Dirac point in bilayer graphene exhibits two dramatically different transport states, insulating and metallic, that occur in apparently otherwise indistinguishable experimental samples. We demonstrate that the…

Materials Science · Physics 2017-09-01 Sam Shallcross , Sangeeta Sharma , Heiko B. Weber

Incomplete stacking dislocations are predicted to form at edges of the shorter upper layer in two-dimensional hexagonal bilayers upon stretching the longer bottom layer. A concept of the edge Burgers vector is introduced to describe such…

Mesoscale and Nanoscale Physics · Physics 2017-08-07 Irina V. Lebedeva , Andrey A. Knizhnik , Andrey M. Popov

In the presence of a finite interlayer displacement field bilayer graphene has an energy gap that is dependent on stacking and largest for the stable AB and BA stacking arrangements. When the relative orientations between layers are twisted…

Mesoscale and Nanoscale Physics · Physics 2018-07-11 Dmitry K. Efimkin , Allan H. MacDonald

We demonstrate theoretically that the topology of energy bands and Fermi surface in bilayer graphene undergoes a very sensitive transition when extremely tiny lateral interlayer shift occurs in arbitrary directions. The phenomenon…

Mesoscale and Nanoscale Physics · Physics 2011-10-17 Young-Woo Son , Seon-Myeong Choi , Yoon Pyo Hong , Sungjong Woo , Seung-Hoon Jhi

The electronic property of monolayer-bilayer hybrid graphene with a zigzag interface is studied by both the Dirac equation and numerical calculation. There are two types of zigzag interface stacks. The dispersion and local density of states…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Zi-Xiang Hu , Wenxin Ding

We argue that at finite carrier density and large displacement fields, bilayer graphene is prone to $\ell =0$ and $\ell = 1$ Pomeranchuk Fermi surface instabilities. The broken symmetries are driven by non-local exchange interactions which…

Mesoscale and Nanoscale Physics · Physics 2015-07-08 Jeil Jung , Marco Polini , Allan H. MacDonald

We study the electronic transport properties at the intersection of three topological zero-lines as the elementary current partition node that arises in minimally twisted bilayer graphene. Unlike the partition laws of two intersecting…

Mesoscale and Nanoscale Physics · Physics 2020-09-02 Tao Hou , Yafei Ren , Yujie Quan , Jeil Jung , Wei Ren , Zhenhua Qiao

We derive electronic structure models for weakly interacting bilayers such as graphene-graphene and graphene-hexagonal boron nitride, based on density functional theory calculations followed by Wannier transformation of electronic states.…

Mesoscale and Nanoscale Physics · Physics 2016-06-28 Shiang Fang , Efthimios Kaxiras

Electronic properties of bilayer and multilayer graphene have generally been interpreted in terms of AB or Bernal stacking. However, it is known that many types of stacking defects can occur in natural and synthetic graphite; rotation of…

Materials Science · Physics 2011-11-09 J. M. B. Lopes dos Santos , N. M. R. Peres , A. H. Castro Neto

Electronic band structures dictate the mechanical, optical and electrical properties of crystalline solids. Their experimental determination is therefore of crucial importance for technological applications. While the spectral distribution…

Mesoscale and Nanoscale Physics · Physics 2019-10-02 C. Dutreix , H. González-Herrero , I. Brihuega , M. I. Katsnelson , C. Chapelier , V. T. Renard

We investigate the electronic density redistribution of rotated bilayer graphene under a perpendicular electric field, showing that the layers are actually coupled even for large angles. This layer-layer coupling is evidenced by the charge…

Mesoscale and Nanoscale Physics · Physics 2012-03-26 E. Suárez Morell , P. Vargas , L. Chico , L. Brey

We numerically investigate the electronic transport properties between two mesoscopic graphene disks with a twist by employing the density functional theory coupled with non-equilibrium Green's function technique. By attaching two graphene…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Yulei Han , Yafei Ren , Xinlong Dong , Junjie Zeng , Wei Ren , Zhenhua Qiao

Application of a displacement field opens a gap and enhances the Van-Hove singularities in the band structure of Bernal-stacked bilayer graphene. By adjusting the carrier density so that the Fermi energy lies in the vicinity of these…

Strongly Correlated Electrons · Physics 2026-03-20 Enrique Aguilar-Méndez , Titus Neupert , Glenn Wagner

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

At a large displacement field, in rhomboedral and Bernal-stacked graphene a normal paramagnetic state transitions to a correlated state. Recent experiments showed that such systems have several phase transitions as a function of the carrier…

Mesoscale and Nanoscale Physics · Physics 2023-03-31 Igor V. Blinov , Chunli Huang , Nemin Wei , Qin Wei , Tobias Wolf , Allan H. MacDonald

Electrons most often organize into Fermi-liquid states in which electron-electron interactions play an inessential role. A well known exception is the case of one-dimensional (1D) electron systems (1DES). In 1D the electron Fermi-surface…

Strongly Correlated Electrons · Physics 2010-01-09 Fan Zhang , Hongki Min , Marco Polini , A. H. MacDonald

We show that the fractional statistics of quasiparticles in dimerized graphene, in recent proposals for charge and statistics fractionalization, can have two realizations depending whether elementary objects can be considered as point-like…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. V. Milovanović

Bilayer graphene (BLG) with a tunable bandgap appears interesting as an alternative to graphene for practical applications, thus its transport properties are being actively pursued. Using density functional theory and perturbation analysis,…

Materials Science · Physics 2015-05-11 Changwon Park , Junga Ryou , Suklyun Hong , Bobby Sumpter , Gunn Kim , Mina Yoon
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