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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

A number of physical processes occurring in a flat one-dimensional graphene structure under the action of strong time-dependent electric fields are considered. It is assumed that the Dirac model can be applied to the graphene as a subsystem…

High Energy Physics - Theory · Physics 2020-11-04 Sergey Gavrilov , Dmitry Gitman , Vadim Dmitriev , Anatolii Panferov , Stanislav Smolyansky

In gapped Dirac materials, the topological current associated with each valley can flow in opposite directions creating long-range charge-neutral valley currents. We report valley currents in hBN/bilayer-graphene heterostructures with an…

Mesoscale and Nanoscale Physics · Physics 2024-10-10 Takuya Iwasaki , Yoshifumi Morita , Kenji Watanabe , Takashi Taniguchi

Locally-gated single-layer graphene sheets have unusual discrete energy states inside the potential barrier induced by a finite-width gate. These states are localized outside the Dirac cone of continuum states and are responsible for novel…

Mesoscale and Nanoscale Physics · Physics 2009-03-03 V. A. Yampol'skii , S. S. Apostolov , Z. A. Maizelis , Alex Levchenko , Franco Nori

Motivated by recent experiments and a theoretical analysis of the gap equation for the propagator of Dirac quasiparticles, we assume that the physics underlying the recently observed removal of sublattice and spin degeneracies in graphene…

Mesoscale and Nanoscale Physics · Physics 2008-06-13 V. P. Gusynin , V. A. Miransky , S. G. Sharapov , I. A. Shovkovy

Free standing InP quantum dots have previously been theoretically and experimentally shown to have a direct band gap across a large range of experimentally accessible sizes. We demonstrate that when these dots are embedded coherently within…

Materials Science · Physics 2009-10-31 A. J. Williamson , Alex Zunger , A. Canning

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 co-presence of multiple Dirac bands in few-layer graphene leads to a rich phase diagram in the quantum Hall regime. Using transport measurements, we map the phase diagram of BN-encapsulated ABA-stacked trilayer graphene as a function…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 Petr Stepanov , Yafis Barlas , Tim Espiritu , Shi Che , Kenji Watanabe , Takashi Taniguchi , Dmitry Smirnov , Chun Ning Lau

Twist-stacked graphene with a twist angle $\theta$ of $\sim 5^\circ$--$30^\circ$ retains two-dimensional monolayer graphene-like Dirac states near the Dirac point. In three-dimensional nanoporous graphene (3D-NPG), curvature inherently…

Mesoscale and Nanoscale Physics · Physics 2026-04-06 Yoichi Tanabe , Hayato Sueyoshi , Samuel Jeong , Kojiro Imai , Shojiro Kimura , Yoshikazu Ito

The electronic bound states and resonances in the vicinity of the Dirac point energy due to the adsorption of calcium dimers on a suspended graphene monolayer are explored theoretically using density functional theory (DFT) and an improved…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Alireza Saffarzadeh , George Kirczenow

Quantum anomalous Hall state is expected to emerge in Dirac electron systems such as graphene under both sufficiently strong exchange and spin-orbit interactions. In pristine graphene, neither interaction exists; however, both interactions…

Mesoscale and Nanoscale Physics · Physics 2017-10-12 Chi Tang , Bin Cheng , Mohammed Aldosary , Zhiyong Wang , Zilong Jiang , K. Watanabe , T. Taniguchi , Marc Bockrath , Jing Shi

We report an atomically-precise integration of individual nitrogen (N) dopant as an in-plane artificial nucleus in a graphene device by atomic implantation to probe its gate-tunable quantum states and correlation effects. The N dopant…

We combined periodic ripples and electrostatic potentials to form curved graphene superlattices and studied the effects of space-dependent Fermi velocity induced from curvature on their electronic properties. With equal periods and…

Mesoscale and Nanoscale Physics · Physics 2021-06-29 Jianli Luan , Kaiyi Guo , Shangyang Li , Tianxing Ma , Li-Gang Wang , Hai-Qing Lin

We report that the {\pi}-electrons of graphene can be spin-polarized to create a phase with a significant spin-orbit gap at the Dirac point (DP) using a graphene-interfaced topological insulator hybrid material. We have grown epitaxial…

We study the quantum Hall effect in a monolayer graphene by using an approach based on thermodynamical properties. This can be done by considering a system of Dirac particles in an electromagnetic field and taking into account of the edges…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 Ahmed Jellal

We study the effects of a magnetic flux and an inhomogeneous gap on the energy spectrum of graphene magnetic quantum dots (GMQDs). By considering the Dirac equation in the infinite mass framework, we can analytically obtain eigenspinor…

Mesoscale and Nanoscale Physics · Physics 2024-05-28 Mohammed El Azar , Ahmed Bouhlal , Ahmed Jellal

We derive a fluid-dynamic model for electron transport near a Dirac point in graphene. The derivation is based on the minimum entropy principle, which is exploited in order to close fluid-dynamic equations for quantum mixed states. To this…

Mathematical Physics · Physics 2019-05-27 Nicola Zamponi , Luigi Barletti

Graphene is a nonmagnetic semimetal and cannot be directly used as electronic or spintronic devices. We demonstrate that graphene quantum dots (GQDs) can exhibit strong edge magnetism and tunable energy gaps due to the presence of localized…

Materials Science · Physics 2017-11-01 Wei Hu , Yi Huang , Lin Lin , Erjun Kan , Xingxing Li , Chao Yang , Jinlong Yang

In this article, we investigate the effect of next-to-the-nearest atom hopping on Klein tunnelling in graphene. An effective quantum dynamics equation is obtained based on an emergent generalized Dirac structure by analyzing the…

Mesoscale and Nanoscale Physics · Physics 2022-04-14 Naveed Ahmad Shah , Alonso Contreras-Astorga , François Fillion-Gourdeau , M. A. H Ahsan , Steve MacLean , Mir Faizal

Quantum confined devices that manipulate single electrons in graphene are emerging as attractive candidates for nanoelectronics applications. Previous experiments have employed etched graphene nanostructures, but edge and substrate disorder…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Monica T. Allen , Jens Martin , Amir Yacoby