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We derive semiclassical quantization equations for graphene mono- and bilayer systems where the excitations are confined by the applied inhomogeneous magnetic field. The importance of a semiclassical phase, a consequence of the spinor…

Mesoscale and Nanoscale Physics · Physics 2008-08-14 A. Kormanyos , P. Rakyta , L. Oroszlany , J. Cserti

In this article we discuss generalized harmonic confinement of massless Dirac fermions in (2+1) dimensions using smooth finite magnetic fields. It is shown that these types of magnetic fields lead to conditional confinement, that is…

Mesoscale and Nanoscale Physics · Physics 2021-09-29 Dai-Nam Le , Van-Hoang Le , Pinaki Roy

A model physical problem is studied in which a system of two electrons is subject either to soft confinement by means of attractive oscillator potentials or by entrapment within an impenetrable spherical box of finite radius $R.$ When hard…

Mathematical Physics · Physics 2015-02-02 Richard L. Hall , Nasser Saad , K. D. Sen

Pseudo-magnetic field (PMF) in deformed graphene has been proposed as a promising and flexible method to quantum-confine electronic states and create gaps in the local density of states. Motivated by this perspective, we numerically analyze…

Mesoscale and Nanoscale Physics · Physics 2022-03-14 Davide Giambastiani , Francesco Colangelo , Alessandro Tredicucci , Stefano Roddaro , Alessandro Pitanti

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).…

Mesoscale and Nanoscale Physics · Physics 2009-06-10 J. H. Bardarson , M. Titov , P. W. Brouwer

Massless Dirac particles cannot be confined by an electrostatic potential. This is a problem for making graphene quantum dots but confinement can be achieved with a magnetic field and here, general conditions for confined and deconfined…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 G. Giavaras , P. A. Maksym , M. Roy

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…

Mesoscale and Nanoscale Physics · Physics 2017-09-21 S. Moriyama , Y. Morita , E. Watanabe , D. Tsuya

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…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. De Martino , L. Dell'Anna , R. Egger

We propose a new method to use gapped graphene as barrier to confine electrons in gapless graphene and form a good quantum dot, which can be realized on an oxygen-terminated $SiO_{2}$ substrate partly H-passivated. In particular, we use…

Mesoscale and Nanoscale Physics · Physics 2009-10-27 Qiong Ma , Zhi-Rong Lin , Tao Tu , Guang-Can Guo , Guo-Ping Guo

Graphene has attracted a great interest in material science due to its novel electronic structrues. Recently, magnetism discovered in graphene based systems opens the possibility of their spintronics application. This paper provides a…

Materials Science · Physics 2009-09-24 Erjun Kan , Zhenyu Li , Jinlong Yang

We consider the orbital magnetic properties of non-interacting charge carriers in graphene-based nanostructures in the low-energy regime. The magnetic response of such systems results both, frombulk contributions and from confinement…

Mesoscale and Nanoscale Physics · Physics 2014-11-26 Lisa Heße , Klaus Richter

Among the many interesting features displayed by graphene, one of the most attractive is the simplicity with which its electronic structure can be described. The study of its physical properties is significantly simplified by the linear…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 S. R. Power , M. S. Ferreira

When electrons are confined in two dimensions and subjected to strong magnetic fields, the Coulomb interactions between them become dominant and can lead to novel states of matter such as fractional quantum Hall liquids. In these liquids…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Kirill I. Bolotin , Fereshte Ghahari , Michael D. Shulman , Horst L. Stormer , Philip Kim

The effect of strain in graphene is usually modeled by a pseudo-magnetic vector potential which is, however, derived in the limit of small strain. In realistic cases deviations are expected in view of graphene's very high strain tolerance,…

Mesoscale and Nanoscale Physics · Physics 2014-01-27 D. Moldovan , M. Ramezani Masir , F. M. Peeters

In the framework of the Floquet theory of periodically driven quantum systems, it is demonstrated that irradiation of graphene by a circularly polarized electromagnetic field induces an attractive area in the core of repulsive potentials.…

Mesoscale and Nanoscale Physics · Physics 2024-11-04 O. V. Kibis , M. V. Boev , I. V. Iorsh , V. M. Kovalev

It is known that the appearance of Klein tunneling in graphene makes it hard to keep or localize electrons in a graphene-based quantum dot (GQD). However, a magnetic field can be used to temporarily confine an electron that is traveling…

Mesoscale and Nanoscale Physics · Physics 2023-12-27 Mohammed El Azar , Ahmed Bouhlal , Abdulaziz D. Alhaidari , Ahmed Jellal

We report the electronic properties of two-dimensional systems made of graphene nanoribbons which are patterned with ad-atoms in two separated regions. Due to the extra electronic confinement induced by the presence of the impurities, we…

Mesoscale and Nanoscale Physics · Physics 2015-09-25 J. W. González , L. Rosales , M. Pacheco , A. Ayuela

We propose a new system where electron and hole states are electrostatically confined into a quantum ring in bilayer graphene. These structures can be created by tuning the gap of the graphene bilayer using nanostructured gates or by…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 M. Zarenia , J. M. Pereira , F. M. Peeters , G. A. Farias

We study the effect of a sharply localized magnetic field on the electron transport in a strip (ribbon) of graphene sheet, which allows to give results for the transmission and reflection probability through magnetic barriers. The magnetic…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Abdulaziz D. Alhaidari , Hocine Bahlouli , Abderrahim El Mouhafid , Ahmed Jellal

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…

Mesoscale and Nanoscale Physics · Physics 2024-03-08 Ya-Ning Ren , Yu-Chen Zhuang , Qing-Feng Sun , Lin He