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In recent work by Schnez et al. [PRB 78, 195427 (2008)], they studied the analytical model of the energy spectrum of a graphene quantum dot in a perpendicular magnetic field. In this comment we first point out that the results Eqs.(5), (6)…

介观与纳米尺度物理 · 物理学 2016-07-22 Babatunde J. Falaye , Guo-Hua Sun , Wen-Chao Qiang , Shi-Hai Dong

We analytically calculate the energy spectrum of a circular graphene quantum dot with radius R subjected to a perpendicular magnetic field B by applying the infinite-mass boundary condition. We can retrieve well-known limits for the cases…

介观与纳米尺度物理 · 物理学 2009-02-27 S. Schnez , K. Ensslin , M. Sigrist , T. Ihn

In a recent publication [Phys. Rev. B $\textbf{89}$, 155403 (2014)], the authors investigated the spectrum of a Coulomb impurity in graphene in the presence of magnetic and electric fields using the coupled series expansion approach. In the…

介观与纳米尺度物理 · 物理学 2018-06-06 R. Van Pottelberge , M. Zarenia , F. M. Peeters

We study the energy levels of graphene magnetic circular quantum dot surrounded by an infinite graphene sheet in the presence of an electrostatic potential. We solve Dirac equation to derive the solutions of energy spectrum associated with…

介观与纳米尺度物理 · 物理学 2020-02-13 Abdelhadi Belouad , Bouchaib Lemaalem , Ahmed Jellal , Hocine Bahlouli

We theoretically analyze the energy spectrum of a quantum ring in AA-stacked bilayer graphene with radius $R$ for a zero width subjected to a perpendicular magnetic field $B$. An analytical approach, using the Dirac equation, is implemented…

介观与纳米尺度物理 · 物理学 2016-10-31 Youness Zahidi , Abdelhadi Belouad , Ahmed Jellal

We study the orbital effect of a strong magnetic field parallel to the layers on the energy spectrum of the Bernal-stacked graphene bilayer and multilayers, including graphite. We consider the minimal model with the electron tunneling…

介观与纳米尺度物理 · 物理学 2010-11-15 Sergey S. Pershoguba , Victor M. Yakovenko

When an energy gap is induced in monolayer graphene the valley degeneracy is broken and the energy spectrum of a confined system such as a quantum dot, becomes rather complex exhibiting many irregular level crossings and small energy…

介观与纳米尺度物理 · 物理学 2021-08-11 G. Giavaras

We study the propagation of electrons in a circular quantum dot of gapped graphene subject to the magnetic flux $\phi$. We present analytical expressions for the eigenstates, scattering coefficients, scattering efficiency and radial…

介观与纳米尺度物理 · 物理学 2020-06-16 Bouchaib Lemaalem , Abdelhadi Belouad , Miloud Mekkaoui , Ahmed Jellal

This work investigates the electronic properties of the energy spectrum of a hybrid system composed of (i) a circular quantum dot of monolayer graphene surrounded by an infinite sheet of AA-stacked bilayer graphene and (ii) a circular…

介观与纳米尺度物理 · 物理学 2021-08-02 Abdelhadi Belouad , Abdellatif Kamal , El Bouâzzaoui Choubabi , Rachid Houça , Mohammed El Bouziani

We study the energy levels of carriers confined in a magnetic quantum dot of graphene surrounded by a infinite graphene sheet in the presence of energy gap. The eigenspinors are derived for the valleys $K$ and $K'$, while the associated…

介观与纳米尺度物理 · 物理学 2020-08-07 Abderrahim Farsi , Abdelhadi Belouad , Ahmed Jellal

In bilayer graphene the exact energy levels of quantum dots can be derived from the four-component continuum Hamiltonian. Here, we study the quantum dot energy levels with approximate equations and compare them with the exact levels. The…

介观与纳米尺度物理 · 物理学 2025-11-03 G. Giavaras

By applying the infinite-mass boundary condition, we analytically calculate the confined states and the corresponding wave functions of AA-stacked bilayer graphene quantum {dots} in the presence of an uniform magnetic field $B$. It is found…

介观与纳米尺度物理 · 物理学 2016-02-29 Abdelhadi Belouad , Youness Zahidi , Ahmed Jellal

Graphene membrane irradiated by weak activating periodic electric field in terahertz range is considered. The corrected formula for the graphene quantum conductivity is found. The obtained formula gives complex conjugate results when…

介观与纳米尺度物理 · 物理学 2017-08-23 N. E. Firsova

1-loop quantum corrections are shown to induce large effects on the refraction index $n$ inside a graphene strip in the presence of an external magnetic field $B$ orthogonal to it. To this purpose, we use the tools of Quantum Field Theory…

高能物理 - 唯象学 · 物理学 2014-10-27 Olivier Coquand , Bruno Machet

We consider a square lattice configuration of circular gate-defined quantum dots in an unbiased graphene sheet and calculate the electronic, particularly spectral properties of finite albeit actual sample sized systems by means of a…

介观与纳米尺度物理 · 物理学 2015-06-19 A. Pieper , R. L. Heinisch , G. Wellein , H. Fehske

Quantum dots induced by a strong magnetic field applied to a single layer of graphene in the perpendicular direction are investigated. The dot is defined by a model potential which consists of a well of depth $\Delta V$ relative to a flat…

介观与纳米尺度物理 · 物理学 2015-05-19 P. A. Maksym , M. Roy , M. F. Craciun , M. Yamamoto , S. Tarucha , H. Aoki

We respond to the recent comment [arXiv:1105.1593] on our Letter [G. G. Plunk and T. Tatsuno, Phys. Rev. Lett. 106, 165003 (2011)]. The comment claims that our argument for spectral transfer direction is incomplete. The comment gives an…

等离子体物理 · 物理学 2011-06-07 G. G. Plunk , T. Tatsuno

We present the solutions of the energy spectrum of charge carriers confined in quantum ring in ABA-stacked trilayer graphene subjected to a perpendicular magnetic field. The calculations were performed in the context of the continuum model…

介观与纳米尺度物理 · 物理学 2017-06-22 Abdelhadi Belouad , Youness Zahidi , Ahmed Jellal , Abdelhadi Bahaoui

We present transport measurements on a strongly coupled graphene quantum dot in a perpendicular magnetic field. The device consists of an etched single-layer graphene flake with two narrow constrictions separating a 140 nm diameter island…

介观与纳米尺度物理 · 物理学 2011-05-03 J. Guettinger , C. Stampfer , T. Frey , T. Ihn , K. Ensslin

The spectrum of electron-phonon complexes in a monolayer graphene is investigated in the presence of a perpendicular quantizing magnetic field. Despite the small electron-phonon coupling, usual perturbation theory is inapplicable for…

介观与纳米尺度物理 · 物理学 2013-01-21 J. Zhu , S. M. Badalyan , F. Peeters
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