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We fabricated and measured antidot lattices in single layer graphene with lattice periods down to 90 nm. In large-period lattices, a well-defined quantum Hall effect is observed. Going to smaller antidot spacings the quantum Hall effect…

Mesoscale and Nanoscale Physics · Physics 2009-10-01 J. Eroms , D. Weiss

We review the basic aspects of electrons in graphene (two-dimensional graphite) exposed to a strong perpendicular magnetic field. One of its most salient features is the relativistic quantum Hall effect the observation of which has been the…

Mesoscale and Nanoscale Physics · Physics 2011-11-24 M. O. Goerbig

We show how the weak field magneto-conductance can be used as a tool to characterize epitaxial graphene samples grown from the C or the Si face of Silicon Carbide, with mobilities ranging from 120 to 12000 cm^2/(V.s). Depending on the…

A charged particle whose energy is less than the electric potential step it is incident upon, is expected to undergo partial reflection and transmission. In bilayer graphene, however, a potential step in the form of an antisymmetric kink…

Mesoscale and Nanoscale Physics · Physics 2008-11-25 J. C. Martinez , M. B. A. Jalil , S. G. Tan

We present a magneto-transport study of graphene samples into which a mild disorder was introduced by exposure to ozone. Unlike the conductivity of pristine graphene, the conductivity of graphene samples exposed to ozone becomes very…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 J. Moser , H. Tao , S. Roche , F. Alsina , C. M. Sotomayor Torres , A. Bachtold

We discuss the fact that quantum capacitance of graphene-based devices leads to variation of it's charge density under changes of external magnetic field.The charge is conserved, but redistributes to substrate or other graphene sheet. We…

Mesoscale and Nanoscale Physics · Physics 2014-03-28 Sergey Slizovskiy

Quantum-critical states of diverse strongly correlated systems are predicted to feature universal collision-dominated transport resembling that of viscous fluids. However, investigation of these phenomena has been hampered by the lack of…

Mesoscale and Nanoscale Physics · Physics 2016-05-20 Leonid Levitov , Gregory Falkovich

A clear gate voltage tunable weak antilocalization and a giant magnetoresistance of 400 percent are observed at 1.9 K in single layer graphene with an out-of-plane field. A large magnetoresistance value of 275 percent is obtained even at…

Materials Science · Physics 2015-06-17 Kalon Gopinadhan , Young Jun Shin , Indra Yudhistira , Jing Niu , Hyunsoo Yang

The graphene is a native two-dimensional crystal material consisting of a single sheet of carbon atoms. In this unique one-atom-thick material, the electron transport is ballistic and is described by a quantum relativistic-like Dirac…

Quantum Physics · Physics 2007-05-23 Daniela Dragoman , Mircea Dragoman

Electron-electron interactions play a critical role in many condensed matter phenomena, and it is tempting to find a way to control them by changing the interactions' strength. One possible approach is to place a studied system in proximity…

Low-energy transport measurements in Quantum Hall systems have been argued to be governed by emergent modular symmetries whose predictions are robust against many of the detailed microscopic dynamics. We propose the recently-observed…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 C. P. Burgess , B. P. Dolan

Graphene is convenient material for nanomechanichal applications since high-frequency oscillations are easily accessible. In this Article, we consider graphene on a rough substrate attached to imperfections at random locations. We explore…

Mesoscale and Nanoscale Physics · Physics 2013-09-25 Mariya V. Medvedyeva , Yaroslav M. Blanter

We report a metal-insulator transition in disordered graphene with low coverages of hydrogen atoms. Hydrogen interacting with graphene creates short-range disorder and localizes states near the neutrality point. The energy range of…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Junhyeok Bang , K. J. Chang

We report an electron transport study of lithographically fabricated graphene nanoribbons of various widths and lengths at different temperatures. At the charge neutrality point, a length-independent transport gap forms whose size is…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Melinda Y. Han , Juliana C. Brant , Philip Kim

Electronic localization is numerically studied in disordered bilayer graphene with an electric-field induced energy gap. Bilayer graphene is a zero-gap semiconductor, in which an energy gap can be opened and controlled by an external…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Mikito Koshino

The superior intrinsic properties of graphene have been a key research focus for the past few years. However, external components, such as metallic contacts, serve not only as essential probing elements, but also give rise to an effective…

Mesoscale and Nanoscale Physics · Physics 2012-05-14 Yanqing Wu , Vasili Perebeinos , Yu-ming Lin , Tony Low , Fengnian Xia , Phaedon Avouris

Graphene-based devices show $1/f$ low-frequency noise in several electronic transport properties, such as mobility and charge carrier concentration. The recent outburst of experimental studies on graphene-based devices integrated into…

Mesoscale and Nanoscale Physics · Physics 2020-11-17 Francesco M. D. Pellegrino , Giuseppe Falci , Elisabetta Paladino

Electron-electron (e-e) collisions can impact transport in a variety of surprising and sometimes counterintuitive ways. Despite strong interest, experiments on the subject proved challenging because of the simultaneous presence of different…

In low-dimensional systems, the combination of reduced dimensionality, strong interactions, and topology has led to a growing number of many-body quantum phenomena. Thermal transport, which is sensitive to all energy-carrying degrees of…

Minimal conductivity of a single undoped graphene layer is known to be of the order of the conductance quantum, independent of the electron velocity. We show that this universality does not survive electron-electron interaction which…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. G. Mishchenko