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We show how the two-dimensional Dirac oscillator model can describe some properties of electrons in graphene. This model explains the origin of the left-handed chirality observed for charge carriers in monolayer and bilayer graphene. The…

Mesoscale and Nanoscale Physics · Physics 2013-11-21 C. Quimbay , P. Strange

Graphene thermionic electron emission across high-interface-barrier involves energetic electrons residing far away from the Dirac point where the Dirac cone approximation of the band structure breaks down. Here we construct a full-band…

Mesoscale and Nanoscale Physics · Physics 2019-07-31 Yee Sin Ang , Yueyi Chen , Chuan Tan , L. K. Ang

In graphene devices with a varying degree of disorders as characterized by their carrier mobility and minimum conductivity, we have studied the thermoelectric power along with the electrical conductivity over a wide range of temperatures.…

Materials Science · Physics 2015-05-27 Deqi Wang , Jing Shi

We review the transmission of Dirac electrons through a potential barrier in the presence of circularly polarized light. A different type of transmission is demonstrated and explained. Perfect transmission for nearly head-on collision in…

Mesoscale and Nanoscale Physics · Physics 2014-08-28 Godfrey Gumbs , Danhong Huang , Andrii Iurov , Bo Gao

Charge carriers in graphene are chiral quasiparticles ("massless Dirac fermions"). Graphene provides therefore an amazing opportunity to study subtle quantum relativistic effects in condensed matter experiment. Here I review a theory of one…

Mesoscale and Nanoscale Physics · Physics 2011-05-12 M. I. Katsnelson

We have investigated the electrical transport properties of Dirac electrons in a monolayer graphene sheet in the presence of a perpendicular magnetic field that is modulated weakly and periodically along one direction.We find that the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Tahir , K. Sabeeh

In this paper we study the excitation spectrum of graphene in a strong magnetic field, beyond the Dirac cone approximation. The dynamical polarizability is obtained using a full $\pi$-band tight-binding model where the effect of the…

Mesoscale and Nanoscale Physics · Physics 2012-09-03 Shengjun Yuan , Rafael Roldán , Mikhail I. Katsnelson

Two-dimensional (2D) materials, composed of single atomic layers, have attracted vast research interest since the breakthrough discovery of graphene. One major benefit of such systems is the simple ability to tune the chemical potential by…

Superconductivity · Physics 2020-10-01 Gopi Nath Daptary , Eyal Walach , Efrat Shimshoni , Aviad Frydman

A gate induced insulating behavior at zero magnetic field is observed in a high mobility suspended monolayer graphene near the charge neutrality point. The graphene device initially cleaned by a current annealing technique was undergone a…

Mesoscale and Nanoscale Physics · Physics 2021-03-03 Cenk Yanik , Vahid Sazgari , Abdulkadir Canatar , Yaser Vaheb , Ismet I. Kaya

We report electrical transport measurements on a suspended ultra-low-disorder graphene nanoribbon(GNR) with nearly atomically smooth edges that reveal a high mobility exceeding 3000 cm2 V-1 s-1 and an intrinsic band gap. The experimentally…

A generalized Dirac equation is derived in order to describe charge carriers moving in corrugated graphene, which is the case for temperatures above 10{\deg}K due to the presence of flexural phonons. Such interaction is taken into account…

Materials Science · Physics 2015-10-12 Richard Kerner , Gerardo Naumis

The dynamical approach is applied to ballistic transport in mesoscopic graphene samples of length L and contact potential U. At times shorter than both relevant time scales, the flight time and \hslash/U, the major effect of the electric…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 M. Lewkowicz , B. Rosenstein , D. Nghiem

The electronic density of states of graphene is equivalent to that of relativistic electrons. In the absence of disorder or external doping the Fermi energy lies at the Dirac point where the density of states vanishes. Although transport…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 J. Martin , N. Akerman , G. Ulbricht , T. Lohmann , J. H. Smet , K. von Klitzing , A. Yacoby

This paper concerns the asymmetric transport associated with a low-energy interface Dirac model of graphene-type materials subject to external magnetic and electric fields. We show that the relevant physical observable, an interface…

Mathematical Physics · Physics 2024-05-22 Solomon Quinn , Guillaume Bal

In neutral graphene dots the Fermi level coincides with the Dirac points. We have investigated in the presence of a magnetic field several unusual properties of single electron states near the Fermi level of such a rectangular-shaped…

Mesoscale and Nanoscale Physics · Physics 2010-02-24 S. C. Kim , P. S. Park , S. -R. Eric Yang

We report a thermoelectric study of graphene in both zero and applied magnetic fields. As a direct consequence of the linear dispersion of massless particles, we find that the Seebeck coefficient Sxx diverges with 1 /, where n2D is the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Peng Wei , Wenzhong Bao , Yong Pu , Chun Ning Lau , Jing Shi

In the quantum Hall effect (QHE) regime, heat is carried by electrons in the edge states of Landau levels. Here, we study cooling of hot electrons propagating along the edge of graphene at the filling factor $\nu=\pm2$, mediated by acoustic…

Mesoscale and Nanoscale Physics · Physics 2017-09-06 Sergey Slizovskiy , Vladimir I. Fal'ko

We present non-linear transport measurements on suspended, current annealed bilayer graphene devices. Using a multi-terminal geometry we demonstrate that devices tend to be inhomogeneous and host two different electronic phases next to each…

Mesoscale and Nanoscale Physics · Physics 2012-11-14 Frank Freitag , Markus Weiss , Romain Maurand , Jelena Trbovic , Christian Schönenberger

The electronic transport properties and band structures for the graphene-based one-dimensional (1D) superlattices with periodic squared potentials are investigated. It is found that a new Dirac point is formed, which is exactly located at…

Mesoscale and Nanoscale Physics · Physics 2013-07-25 Li-Gang Wang , Shi-Yao Zhu

The reflectance of graphene is investigated in the framework of the Dirac model with account of its realistic properties, such as nonzero chemical potential and band gap, at any temperature. For this purpose, the exact reflection…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 G. L. Klimchitskaya , V. M. Mostepanenko , V. M. Petrov