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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

Due to effect of Klein tunneling two-dimensional graphene quantum dots do not possess genuine bound states but quasi-bound (resonant tunneling) states only. We discuss in detail the attempt to describe these states within the framework of…

Mesoscale and Nanoscale Physics · Physics 2021-11-24 H. V. Grushevskaya , G. G. Krylov

Based on the tight-binding model calculations and photonic experimental visualization on graphene, we report the domain-wall-induced gapped topological kink states and topological corner states. In graphene, domain walls with gapless…

Mesoscale and Nanoscale Physics · Physics 2020-05-26 Yuting Yang , Ziyuan Jia , Yijia Wu , Zhi-Hong Hang , Hua Jiang , X. C. Xie

Graphene quantum dots (GQDs) not only have potential applications on spin qubit,but also serve as essential platforms to study the fundamental properties of Dirac fermions, such as Klein tunneling and Berry phase. By now, the study of…

Mesoscale and Nanoscale Physics · Physics 2021-11-24 Si-Yu Li , Lin He

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…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 P. A. Maksym , M. Roy , M. F. Craciun , M. Yamamoto , S. Tarucha , H. Aoki

The present article discusses magnetic confinement of the Dirac excitations in graphene in presence of inhomogeneous magnetic fields. In the first case a magnetic field directed along the z axis whose magnitude is proportional to $1/r$ is…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Pratim Roy , Tarun Kanti Ghosh , Kaushik Bhattacharya

Motivated by the recent measurement of the activation energy at the quantum Hall state at the filling factor f=1 in graphene we discuss the scaling of the interaction-induced gaps in vicinity of the Dirac point with the magnetic field. The…

Mesoscale and Nanoscale Physics · Physics 2009-05-20 Igor F. Herbut , Bitan Roy

Tunnelling of electrons in graphene-based junctions is studied theoretically. Graphene is assumed to be deposited either directly on a ferromagnetic insulator or on a few atomic layers of boron nitride which separate graphene from a…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Jędrzej Tepper , Józef Barnaś

Much attention has been focused on ways of rendering graphene semiconducting. We study periodically gated graphene in a tight-binding model and find that, contrary to predictions based on the Dirac equation, it is possible to open a band…

Mesoscale and Nanoscale Physics · Physics 2012-10-10 Jesper Goor Pedersen , Thomas Garm Pedersen

Due to Klein tunneling, electrostatic confinement of electrons in graphene is not possible. This hinders the use of graphene for quantum dot applications. Only through quasi-bound states with finite lifetime has one achieved to confine…

Mesoscale and Nanoscale Physics · Physics 2018-05-29 Hasan M. Abdullah , M. Van der Donck , H. Bahlouli , F. M. Peeters , B. Van Duppen

The perfect transmission of charge carriers through potential barriers in graphene (Klein tunneling) is a direct consequence of the Dirac equation that governs the low-energy carrier dynamics. As a result, localized states do not exist in…

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…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 G. Giavaras

Driven tunneling between graphene Landau levels is theoretically linked to the process of pair creation from vacuum, a prediction of quantum electrodynamics (QED). Landau levels are created by the presence of a strong, constant, quantizing…

Mesoscale and Nanoscale Physics · Physics 2016-06-21 Denis Gagnon , François Fillion-Gourdeau , Joey Dumont , Catherine Lefebvre , Steve MacLean

We study the electronic structures of ABA (Bernal) stacked multilayer graphenes in uniform perpendicular electric field, and show that the interplay of the trigonal warping and the potential asymmetry gives rise to a number of emergent…

Mesoscale and Nanoscale Physics · Physics 2013-02-22 Takahiro Morimoto , Mikito Koshino

Using the variable phase method, we reformulate the Dirac equation governing the charge carriers in graphene into a nonlinear first-order differential equation from which we can treat both confined-state problems in electron waveguides and…

Mesoscale and Nanoscale Physics · Physics 2012-09-11 D. A. Stone , C. A. Downing , M. E. Portnoi

Graphene nanoribbon quantum dot qubits have been proposed as promising candidates for quantum computing applications to overcome the spin-decoherence problems associated with typical semiconductor (e.g. GaAs) quantum dot qubits. We perform…

Mesoscale and Nanoscale Physics · Physics 2015-12-11 Chih-Chieh Chen , Yia-Chung Chang

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

Gate-tunable spin-dependent properties could be induced in graphene at room temperature through magnetic proximity effect by placing it in contact with a metallic ferromagnet. Because strong chemical bonding with the metallic substrate…

Mesoscale and Nanoscale Physics · Physics 2020-11-17 Mihovil Bosnar , Ivor Lončarić , P. Lazić , K. D. Belashchenko , Igor Žutić

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…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Hong-Yi Chen , Vadim Apalkov , Tapash Chakraborty

The study of vacancies in graphene is a topic of growing interest. A single vacancy induces a localized stable charge of order unity interacting with other charges of the conductor through an unscreened Coulomb potential. It also breaks the…

Mesoscale and Nanoscale Physics · Physics 2020-08-11 Omrie Ovdat , Yaroslav Don , Eric Akkermans