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We study the electronic structure of two Dirac electron gazes coupled by a periodic Hamiltonian such as it appears in rotated graphene bilayers. Ab initio and tight-binding approaches are combined and show that the spatially periodic…

Mesoscale and Nanoscale Physics · Physics 2010-09-03 Guy Trambly de Laissardière , Didier Mayou , Laurence Magaud

Rational design of artificial lattices yields effects unavailable in simple solids, and vertical superlattices of multilayer semiconductors are already used in optical sensors and emitters. Manufacturing lateral superlattices remains a much…

Monitoring electronic properties of 2D materials is an essential step to open a way for applications such as electronic devices and sensors. From this perspective, Bernal bilayer graphene (BLG) is a fairly simple system that offers great…

Mesoscale and Nanoscale Physics · Physics 2021-12-17 Jouda Jemaa Khabthani , Ahmed Missaoui , Didier Mayou , Guy Trambly de Laissardière

We demonstrate that dislocations in the graphene lattice give rise to electron Berry phases equivalent to quantized values {0,1/3,-1/3} in units of the flux quantum, but with an opposite sign for the two valleys. An elementary scale…

Mesoscale and Nanoscale Physics · Physics 2011-08-04 Andrej Mesaros , Darius Sadri , Jan Zaanen

We have studied the electronic properties in aperiodic graphene superlattices of Thue-Morse sequence. Although the structure is aperiodic, an unusual Dirac point (DP) does exist and its location is exactly at the position of the…

Mesoscale and Nanoscale Physics · Physics 2012-06-28 Tianxing Ma , Chun Liang , Li-Gang Wang , Hai-Qing Lin

It is highly desirable to integrate graphene into existing semiconductor technology, where the combined system is thermodynamically stable yet maintain a Dirac cone at the Fermi level. Firstprinciples calculations reveal that a certain…

Mesoscale and Nanoscale Physics · Physics 2012-11-16 Yuanchang Li , Pengcheng Chen , Gang Zhou , Jia Li , Jian Wu , Bing-Lin Gu , S. B. Zhang , Wenhui Duan

We report measurements of magnetoresistance in single-layer graphene as a function of gate voltage (carrier density) at 250 mK. By examining signatures of weak localization (WL) and universal conductance fluctuations (UCF), we find a…

Materials Science · Physics 2015-05-14 Yung-Fu Chen , Myung-Ho Bae , Cesar Chialvo , Travis Dirks , Alexey Bezryadin , Nadya Mason

An analysis of the electron localization properties in doped graphene is performed by doing a numerical multifractal analysis. By obtaining the singularity spectrum of a tight-binding model, it is found that the electron wave functions…

Disordered Systems and Neural Networks · Physics 2013-07-01 J. E. Barrios-Vargas , Gerardo G. Naumis

We analyze the effect of weak localization (WL) and weak antilocalization (WAL) in the electronic transport through HgTe/CdTe quantum wells. We show that for increasing Fermi energy the magnetoconductance of a diffusive system with inverted…

Mesoscale and Nanoscale Physics · Physics 2012-12-13 Viktor Krueckl , Klaus Richter

Moir\'e superlattice created by twist stacking has multiple physical properties. These physical properties depend on the twist angle, hence investigation of the twist angle dependency is important for the deep understanding of physical…

Mesoscale and Nanoscale Physics · Physics 2022-10-14 Masaki Kashiwagi , Toshihiro Taen , Kazuhito Uchida , Kenji Watanabe , Takashi Taniguchi , Toshihito Osada

The AB-stacked bilayer graphene (BLG) is a pure semiconductor whose band gap and properties can be tuned by various methods such as doping or applying gate voltage. Here we show an alternative method to control the electronic properties of…

Materials Science · Physics 2017-02-06 Srimanta Pakhira , Kevin P. Lucht , Jose L. Mendoza-Cortes

We investigate electronic band structure and transport properties in bilayer graphene superlattices of Thue-Morse sequence. It is interesting to find that the zero-$\bar{k}$ gap center is sensitive to interlayer coupling $t'$, and the…

Strongly Correlated Electrons · Physics 2013-10-30 Changan Li , Hemeng Cheng , Ruofan Chen , Tianxing Ma , Li-Gang Wang , Yun Song , Hai-Qing Lin

We present a theory of electronic transport in graphene in the presence of randomly placed adsorbates. Our analysis predicts a marked asymmetry of the conductivity about the Dirac point, as well as a negative weak-localization…

Mesoscale and Nanoscale Physics · Physics 2008-11-05 John P. Robinson , Henning Schomerus , Laszlo Oroszlany , Vladimir I. Fal'ko

The electronic properties of one-dimensional graphene superlattices strongly depend on the atomic size and orientation of the 1D external periodic potential. Using a tight-binding approach, we show that the armchair and zigzag directions in…

The Schr\"odinger equation dictates that the propagation of nearly free electrons through a weak periodic potential results in the opening of band gaps near points of the reciprocal lattice known as Brillouin zone boundaries. However, in…

The specific rotational alignment of two-dimensional lattices results in a moir\'e superlattice with a larger period than the original lattices and allows one to engineer the electronic band structure of such materials. So far, transport…

The conductivity of graphene on a boron nitride substrate exhibits features in the terahertz (THz) and infrared (IR) frequency regimes that are associated with the periodic moir\'e pattern formed by the weakly coupled two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2015-10-14 Ashley M. DaSilva , Jeil Jung , Shaffique Adam , Allan H. MacDonald

We show that the manifestation of quantum interference in graphene is very different from that in conventional two-dimensional systems. Due to the chiral nature of charge carriers, it is sensitive not only to inelastic, phase-breaking…

Mesoscale and Nanoscale Physics · Physics 2008-02-09 F. V. Tikhonenko , D. W. Horsell , R. V. Gorbachev , A. K. Savchenko

In this review article we discuss the recent progress in studying ballistic transport for charge carriers in graphene through highly inhomogenous magnetic field known as magnetic barrier in combination with gate voltage induced…

Mesoscale and Nanoscale Physics · Physics 2013-04-12 Neetu Agrawal , Sankalpa Ghosh , Manish Sharma

Graphene/h-BN has emerged as a model van der Waals heterostructure, and the band structure engineering by the superlattice potential has led to various novel quantum phenomena including the self-similar Hofstadter butterfly states. Although…

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