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With the advent of high mobility encapsulated graphene devices, new electronic components ruled by Dirac fermions optics have been envisioned and realized. The main building blocks of electron-optics devices are gate-defined p-n junctions,…

Transport through potential barriers in graphene is investigated using a set of metallic gates capacitively coupled to graphene to modulate the potential landscape. When a gate-induced potential step is steep enough, disorder becomes less…

Mesoscale and Nanoscale Physics · Physics 2009-01-18 N. Stander , B. Huard , D. Goldhaber-Gordon

Electrostatic gating lies in the heart of modern FET-based integrated circuits. Usually, the gate electrode has to be placed very close to the conduction channel, typically a few nanometers, in order to achieve efficient tunability.…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 Aolin Deng , Cheng Hu , Peiyue Shen , Xingdong Luo , Jiajun Chen , Bosai Lyu , Kenji Watanabe , Takashi Taniguchi , Qi Liang , Jie Ma , Zhiwen Shi

The honeycomb lattice of graphene is a unique two-dimensional (2D) system where the quantum mechanics of electrons is equivalent to that of relativistic Dirac fermions. Novel nanometer-scale behavior in this material, including electronic…

Mesoscale and Nanoscale Physics · Physics 2009-05-29 Yuanbo Zhang , Victor W. Brar , Feng Wang , Caglar Girit , Yossi Yayon , Melissa Panlasigui , Alex Zettl , Michael F. Crommie

In this paper we study the relativistic quantum dynamics of a massless fermion confined in a quantum ring. We use a model of confining potential and introduce the interaction via Dirac oscillator coupling, which provides ring confinement…

Mesoscale and Nanoscale Physics · Physics 2016-08-01 Jose Amaro Neto , M. J. Bueno , Claudio Furtado

We theoretically investigate the spectrum of a single electron double quantum dot, defined by top gates in a graphene with a substrate induced gap. We examine the effects of electric and magnetic fields on the spectrum of localized states,…

Mesoscale and Nanoscale Physics · Physics 2014-02-20 Martin Raith , Christian Ertler , Peter Stano , Michael Wimmer , Jaroslav Fabian

Electrons in graphene behave like Dirac fermions, permitting phenomena from high energy physics to be studied in a solid state setting. A key question is whether or not these Fermions are critically influenced by Coulomb correlations. We…

Strongly Correlated Electrons · Physics 2015-05-20 James P. Reed , Bruno Uchoa , Young Il Joe , Yu Gan , Diego Casa , Eduardo Fradkin , Peter Abbamonte

In Westminster Abbey, in a nave near to Newton's monument, lies a memorial stone to Paul Dirac. The inscription on the stone includes the relativistic wave equation for an electron: the Dirac equation. At the turn of the 21st century, it…

Mesoscale and Nanoscale Physics · Physics 2023-12-22 C. A. Downing , M. E. Portnoi

In the presence of axial magnetic fields that can be realized in deliberately buckled monolayer graphene, quasi-relativistic Dirac fermions may find themselves in a variety of broken symmetry phases even for weak interactions. Through a…

Mesoscale and Nanoscale Physics · Physics 2014-09-03 Bitan Roy , Jay D. Sau

One of the unique features of graphene is that the Fermi wavelength of its charge carriers can be tuned electrostatically over a wide range. This allows in principle to tune the transparency of a pn-junction electrostatically, as this…

In an ideal graphene sheet charge carriers behave as two-dimensional (2D) Dirac fermions governed by the quantum mechanics of massless relativistic particles. This has been confirmed by the discovery of a half-integer quantum Hall effect in…

Materials Science · Physics 2015-05-13 Yuanbo Zhang , Victor W. Brar , Caglar Girit , Alex Zettl , Michael F. Crommie

This article provides a pedagogical review on Klein tunneling in graphene, i.e. the peculiar tunneling properties of two-dimensional massless Dirac electrons. We consider two simple situations in detail: a massless Dirac electron incident…

Mesoscale and Nanoscale Physics · Physics 2011-11-03 P. E. Allain , J. N. Fuchs

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

Exact stationary solutions of the electron-photon Dirac equation are obtained to describe the strong interaction between massless Dirac fermions in graphene and circularly polarized photons. It follows from them that this interaction forms…

Mesoscale and Nanoscale Physics · Physics 2010-04-26 O. V. Kibis

We investigate spin transport through ferromagnetic graphene vertical heterostructures where a sandwiched tunneling layer is either a normal or ferroelectric insulator. We show that the spin-polarization of the tunneling current is…

Mesoscale and Nanoscale Physics · Physics 2016-05-31 Nojoon Myoung , Hee Chul Park , Seung Joo Lee

Charge carriers of graphene show neutrino-like linear energy dispersions as well as chiral behavior near the Dirac point. Here we report highly unusual and unexpected behaviors of these carriers in applied external periodic potentials,…

Materials Science · Physics 2008-03-04 Cheol-Hwan Park , Li Yang , Young-Woo Son , Marvin L. Cohen , Steven G. Louie

We theoretically study a current switch that exploits the phase acquired by a charge carrier as it tunnels through a potential barrier in graphene. The system acts as an interferometer based on an armchair graphene quantum ring, where the…

Mesoscale and Nanoscale Physics · Physics 2017-02-03 D. J. P. de Sousa , Andrey Chaves , J. M. Pereira , G. A. Farias

Statistical complexity and Fisher-Shannon information are calculated in a problem of quantum scattering, namely the Klein tunneling across a potential barrier in graphene. The treatment of electron wave functions as masless Dirac fermions…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Jaime Sanudo , Ricardo Lopez-Ruiz

The fractal spectrum of magnetic minibands (Hofstadter butterfly), induced by the moir\'e super- lattice of graphene on an hexagonal crystal substrate, is known to exhibit gapped Dirac cones. We show that the gap can be closed by slightly…

Mesoscale and Nanoscale Physics · Physics 2014-05-15 M. Diez , J. P. Dahlhaus , M. Wimmer , C. W. J. Beenakker

Lateral superlattices have attracted major interest as this may allow one to modify spectra of two dimensional electron systems and, ultimately, create materials with tailored electronic properties. Previously, it proved difficult to…