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This is a review of electronic quantum interference in mesoscopic ring structures based on graphene, with a focus on the interplay between the Aharonov-Bohm effect and the peculiar electronic and transport properties of this material. We…

Mesoscale and Nanoscale Physics · Physics 2012-08-06 Jörg Schelter , Patrik Recher , Björn Trauzettel

Metal/graphene interfaces generated by electrode deposition induce barriers or potential modulations influencing the electronic transport properties of graphene based devices. However, their impact on the local mechanical properties of…

Mesoscale and Nanoscale Physics · Physics 2014-02-21 Zoltán Osváth , François Lefloch , Vincent Bouchiat , Claude Chapelier

Graphene, a thinnest material in the world, can form moire structures on different substrates, including graphite, h-BN, or metal surfaces. In such systems the structure of graphene, i. e. its corrugation, as well as its electronic and…

Mesoscale and Nanoscale Physics · Physics 2016-07-12 Elena Voloshina , Yuriy Dedkov

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

We probe the local inhomogeneities of the electronic properties of graphene at the nanoscale using scanning probe microscopy techniques. First, we focus on the study of the electronic inhomogeneities caused by the graphene-substrate…

Mesoscale and Nanoscale Physics · Physics 2012-10-16 A. Castellanos-Gomez , Arramel , M. Wojtaszek , R. H. M. Smit , N. Tombros , N. Agraït , B. J. van Wees , G. Rubio-Bollinger

A review work is done for electronic and optical properties of graphene nanoribbons in magnetic, electric, composite, and modulated fields. Effects due to the lateral confinement, curvature, stacking, non-uniform subsystems and hybrid…

Mesoscale and Nanoscale Physics · Physics 2016-03-10 Hsien-Ching Chung , Cheng-Peng Chang , Chiun-Yan Lin , Ming-Fa Lin

We investigate magnetic deflection of currents that flow across the Aharonov-Bohm interferom- eters defined in graphene. We consider devices induced by closed n-p junctions in nanoribbons as well as etched quantum rings. The deflection…

Mesoscale and Nanoscale Physics · Physics 2016-12-02 Alina Mrenca-Kolasinska , Bartlomiej Szafran

Straining graphene results in the appearance of a pseudo-magnetic field which alters its local electronic properties. Applying a pressure difference between the two sides of the membrane causes it to bend/bulge resulting in a resistance…

Mesoscale and Nanoscale Physics · Physics 2017-08-03 S. P. Milovanovic , M. Z. Tadic , F. M. Peeters

We probe the local inhomogeneities in the electronic properties of exfoliated graphene due to the presence of charged impurities in the SiO2 substrate using a combined scanning tunneling and electrostatic force microscope. Contact potential…

Mesoscale and Nanoscale Physics · Physics 2012-02-21 Andres Castellanos-Gomez , Roel H. M. Smit , Nicolás Agraït , Gabino Rubio-Bollinger

Aharonov-Bohm interferences in the quantum Hall regime are observed when electrons are transmitted between two edge channels. Such a phenomenon has been realized in 2D systems such as quantum point contacts, anti-dots and p-n junctions.…

Mesoscale and Nanoscale Physics · Physics 2019-07-26 Viet Hung Nguyen , Jean-Christophe Charlier

Investigation of real two-dimensional systems with Dirac-like electronic behavior under the influence of magnetic field is challenging and leads to many interesting physical results. In this paper we study 2D graphene model with a…

Mesoscale and Nanoscale Physics · Physics 2016-10-11 E. A. Stepanov , V. Ch. Zhukovsky

Graphene is the nature's thinnest elastic membrane, with exceptional mechanical and electrical properties. We report the direct observation and creation of one-dimensional (1D) and 2D periodic ripples in suspended graphene sheets, using…

Mesoscale and Nanoscale Physics · Physics 2009-07-28 Wenzhong Bao , Feng Miao , Zhen Chen , Hang Zhang , Wanyoung Jang , Chris Dames , Chun Ning Lau

Understanding how the mechanical behavior of materials deviates at the nanoscale from the macroscopically established concepts is a key challenge of particular importance for graphene, given the complex interplay between its nanoscale…

Mesoscale and Nanoscale Physics · Physics 2012-10-26 Levente Tapaszto , Traian Dumitrica , Sung J. Kim , Peter Nemes-Incze , Chanyong Hwang , Laszlo P. Biro

We study the effect of the curved ripples observed in the free standing graphene samples on the electronic structure of the system. We model the ripples as smooth curved bumps and compute the Green's function of the Dirac fermions in the…

Strongly Correlated Electrons · Physics 2009-11-13 Fernando de Juan , Alberto Cortijo , María A. H. Vozmediano

Ever since the discovery of graphene and subsequent explosion of interest in single atom thick materials, studying their mechanical properties has been an active area of research. New length scales often necessitate a rethinking of physical…

Aharonov-Bohm oscillations are observed in a graphene quantum ring with a top gate covering one arm of the ring. As graphene is a gapless semiconductor this geometry allows to study not only the quantum interference of electrons with…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 D. Smirnov , H. Schmidt , R. J. Haug

Aharonov-Bohm (AB) effect, the well-known archetype of electron-wave interference phenomena, has been explored extensively through transport measurements. However, these techniques lack spatial resolution that would be indispensable for…

Mesoscale and Nanoscale Physics · Physics 2021-02-02 Yi-Wen Liu , Ya-Ning Ren , Chen-Yue Hao , Lin He

We study the changes induced by the effective gauge field due to ripples on the low energy electronic structure of graphene. We show that zero energy Landau levels will form, associated to the smooth deformation of the graphene layer, when…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 F. Guinea , M. I. Katsnelson , M. A. H. Vozmediano

The interaction between a graphene layer and a hexagonal Boron Nitride (hBN) substrate induces lateral displacements and strains in the graphene layer. The displacements lead to the appearance of commensurate regions and the existence of an…

Mesoscale and Nanoscale Physics · Physics 2014-09-05 Pablo San-Jose , Ángel Gutiérrez , Mauricio Sturla , Francisco Guinea

Aharonov-Bohm (AB) interferences in the quantum Hall regime can be achieved, provided that electrons are able to transmit between two edge channels in nanostructures. Pioneering approaches include quantum point contacts in 2DEG systems,…

Mesoscale and Nanoscale Physics · Physics 2019-11-21 Viet Hung Nguyen , Jean-Christophe Charlier
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