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A spatially modulated Dirac gap in a graphene sheet leads to charge confinement, thus enabling a graphene quantum dot to be formed without the application of external electric and magnetic fields [Appl. Phys. Lett. \textbf{97}, 243106…

介观与纳米尺度物理 · 物理学 2015-05-27 G. Giavaras , Franco Nori

An electrostatic quantum dot cannot be formed in monolayer graphene, because of the Klein tunnelling. However, a dot can be formed with the help of a uniform magnetic field. As shown here, a spatial modulation of the Dirac gap leads to…

介观与纳米尺度物理 · 物理学 2015-05-27 G. Giavaras , Franco Nori

Due to Klein tunneling, electrostatic potentials are unable to confine Dirac electrons. We show that it is possible to confine massless Dirac fermions in a monolayer graphene sheet by inhomogeneous magnetic fields. This allows one to design…

介观与纳米尺度物理 · 物理学 2007-05-23 A. De Martino , L. Dell'Anna , R. Egger

Electrostatic confinement of charge carriers in graphene is governed by Klein tunneling, a relativistic quantum process in which particle-hole transmutation leads to unusual anisotropic transmission at pn junction boundaries. Reflection and…

We compare the conductance of an undoped graphene sheet with a small region subject to an electrostatic gate potential for the cases that the dynamics in the gated region is regular (disc-shaped region) and classically chaotic (stadium).…

介观与纳米尺度物理 · 物理学 2009-06-10 J. H. Bardarson , M. Titov , P. W. Brouwer

We report an approach to confine the carriers in single-layer graphene, which leads to quantum devices with field-induced quantum confinement. We demonstrated that the Coulomb-blockade effect evolves under a uniform magnetic field…

介观与纳米尺度物理 · 物理学 2017-09-21 S. Moriyama , Y. Morita , E. Watanabe , D. Tsuya

Introducing quantum confinement has uncovered a rich set of interesting quantum phenomena and allows one to directly probe the physics of confined (quasi-)particles. In most experiments, however, electrostatic potential is the only…

介观与纳米尺度物理 · 物理学 2024-03-08 Ya-Ning Ren , Yu-Chen Zhuang , Qing-Feng Sun , Lin He

The electrostatic confinement of massless charge carriers is hampered by Klein tunneling. Circumventing this problem in graphene mainly relies on carving out nanostructures or applying electric displacement fields to open a band gap in…

We have investigated the Fock-Darwin states of the massless chiral fermions confined in a graphitic parabolic quantum dot. In the light of the Klein tunneling, we have analyzed the condition for confinement of the Dirac fermions in a…

介观与纳米尺度物理 · 物理学 2009-11-11 Hong-Yi Chen , Vadim Apalkov , Tapash Chakraborty

We examine a graphene quantum dot formed by combining an electric and a uniform magnetic field. The electric field creates a smooth quantum well potential while the magnetic field induces an exponential tail to the dot states. The states…

介观与纳米尺度物理 · 物理学 2015-06-04 G. Giavaras , Franco Nori

We study the problem of Dirac fermion confinement in graphene in the presence of a perpendicular magnetic field B. We show, analytically and numerically, that confinement leads to anomalies in the electronic spectrum and to a magnetic field…

强关联电子 · 物理学 2009-11-11 N. M. R. Peres , A. H. Castro Neto , F. Guinea

We study the electronic states of graphene in piecewise constant potentials using the continuum Dirac equation appropriate at low energies, and a transfer matrix method. For superlattice potentials, we identify patterns of induced Dirac…

介观与纳米尺度物理 · 物理学 2015-05-18 D. P. Arovas , L. Brey , H. A. Fertig , Eun-Ah Kim , K. Ziegler

The so-called Klein paradox - unimpeded penetration of relativistic particles through high and wide potential barriers - is one of the most exotic and counterintuitive consequences of quantum electrodynamics (QED). The phenomenon is…

介观与纳米尺度物理 · 物理学 2007-05-23 M. I. Katsnelson , K. S. Novoselov , A. K. Geim

Owing to the Klein tunneling phenomenon, the permanent confinement or localization of electrons within a graphene quantum dot is unattainable. Nonetheless, a constant magnetic field can transiently ensnare an electron within the quantum…

介观与纳米尺度物理 · 物理学 2024-03-26 Mohammed El Azar , Ahmed Bouhlal , Ahmed Jellal

The massless Dirac fermions and the ease to introduce spatial and magnetic confinement in graphene provide us unprecedented opportunity to explore confined relativistic matter in this condensed-matter system. Here we report the interplay…

介观与纳米尺度物理 · 物理学 2024-03-08 Ya-Ning Ren , Qiang Cheng , Chao Yan , Ke Lv , Mo-Han Zhang , Qing-Feng Sun , Lin He

We consider a quantum dot described by a cylindrically symmetric 2D Dirac equation. The potentials representing the quantum dot are taken to be of different types of potential configuration, scalar, vector and pseudo-scalar to enable us to…

介观与纳米尺度物理 · 物理学 2015-06-19 Youness Zahidi , Ahmed Jellal , Hocine Bahlouli , Mohammed El Bouziani

Magnetic confinement in graphene has been of recent and growing interest because its potential applications in nanotechnology. In particular, the observation of the so called magnetic edge states in graphene has opened the possibility to…

介观与纳米尺度物理 · 物理学 2010-08-31 Gabriela Murguia

Low-energy fermionic excitations in two-dimensional materials deviate from the conventional Schr\"odinger description and are instead governed by Dirac equations. Such Dirac fermions give rise to a variety of unconventional quantum…

介观与纳米尺度物理 · 物理学 2026-05-14 Xiang Liua , Zheng Taoa , Wenchen Luoa , Tapash Chakraborty

We suggest a way of confining quasiparticles by an external potential in a small region of a graphene strip. Transversal electron motion plays a crucial role in this confinement. Properties of thus obtained graphene quantum dots are…

介观与纳米尺度物理 · 物理学 2007-05-23 P. G. Silvestrov , K. B. Efetov

Quantum confinement of graphene Dirac-like electrons in artificially crafted nanometer structures is a long sought goal that would provide a strategy to selectively tune the electronic properties of graphene, including bandgap opening or…

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