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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…

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…

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…

介观与纳米尺度物理 · 物理学 2021-11-24 Si-Yu Li , Lin He

The practical realization of nano-scale electronics faces two major challenges: the precise engineering of the building blocks and their assembly into functional circuits. In spite of the exceptional electronic properties of carbon…

介观与纳米尺度物理 · 物理学 2008-07-09 Levente Tapaszto , Gergely Dobrik , Philippe Lambin , Laszlo P Biro

The ability to localize and manipulate individual quasiparticles in mesoscopic structures is critical in experimental studies of quantum mechanics and thermodynamics, and in potential quantum information devices, e.g., for topological…

介观与纳米尺度物理 · 物理学 2019-12-25 Scott Mills , Anna Gura , Kenji Watanabe , Takashi Taniguchi , Matthew Dawber , Dmitri Averin , Xu Du

Massless Dirac fermions in graphene provide unprecedented opportunities to realize the Klein paradox, which is one of the most exotic and striking properties of relativistic particles. In the seminal theoretical work [Katsnelson et al.,…

介观与纳米尺度物理 · 物理学 2017-05-17 Ke-Ke Bai , Jia-Bin Qiao , Hua Jiang , Haiwen Liu , Lin He

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

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

Quantum confined devices that manipulate single electrons in graphene are emerging as attractive candidates for nanoelectronics applications. Previous experiments have employed etched graphene nanostructures, but edge and substrate disorder…

介观与纳米尺度物理 · 物理学 2015-06-04 Monica T. Allen , Jens Martin , Amir Yacoby

Confinement of electrons in graphene to make devices has proven to be a challenging task. Electrostatic methods fail because of Klein tunneling, while etching into nanoribbons requires extreme control of edge terminations, and bottom-up…

介观与纳米尺度物理 · 物理学 2018-04-03 Y. Wu , D. Zhai , C. Pan , B. Cheng , T. Taniguchi , K. Watanabe , N. Sandler , M. Bockrath

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

Quantum point contacts (QPCs) are cornerstones of mesoscopic physics and central building blocks for quantum electronics. Although the Fermi wave-length in high-quality bulk graphene can be tuned up to hundreds of nanometers, the…

Considerable efforts have been made to trap massless Dirac fermions in graphene monolayer, but only quasi-bound states are realized in continuous graphene sheets up to now. Here, we demonstrate the realization of bound states in nanoscale…

介观与纳米尺度物理 · 物理学 2017-04-05 Jia-Bin Qiao , Hua Jiang , Haiwen Liu , Hong Yang , Ning Yang , Kai-Yao Qiao , Lin He

We theoretically analyse the possibility to electrostatically confine electrons in circular quantum dot arrays, impressed on contacted graphene nanoribbons by top gates. Utilising exact numerical techniques, we compute the scattering…

介观与纳米尺度物理 · 物理学 2016-04-21 Holger Fehske , Georg Hager , Andreas Pieper

A remarkable manifestation of the quantum character of electrons in matter is offered by graphene, a single atomic layer of graphite. Unlike conventional solids where electrons are described with the Schrodinger equation, electronic…

介观与纳米尺度物理 · 物理学 2008-09-16 Z. Q. Li , E. A. Henriksen , Z. Jiang , Z. Hao , M. C. Martin , P. Kim , H. L. Stormer , D. N. Basov

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…

介观与纳米尺度物理 · 物理学 2023-12-22 C. A. Downing , M. E. Portnoi

We study the confinement of Dirac fermions in graphene and in carbon nanotubes by an external magnetic field, mechanical deformations or inhomogeneities in the substrate. By applying variational principles to the square of the Dirac…

介观与纳米尺度物理 · 物理学 2015-01-08 Vit Jakubsky , David Krejcirik

The unconventional properties of graphene, with a massless Dirac band dispersion and large coherence properties, have raised a large interest for applications in nanoelectronics. In this work, we emphasize that graphene two dimensional…

介观与纳米尺度物理 · 物理学 2008-08-27 Pierre Darancet , Valerio Olevano , Didier Mayou

Despite the enormous interest in the properties of graphene and the potential of graphene nanostructures in electronic applications, the study of quantum confined states in atomically well-defined graphene nanostructures remains an…

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
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