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Bernal-stacked multilayer graphene is a versatile platform to explore quantum transport phenomena and interaction physics due to its exceptional tunability via electrostatic gating. For instance, upon applying a perpendicular electric…

Mesoscale and Nanoscale Physics · Physics 2022-05-11 F. Winterer , A. M. Seiler , A. Ghazaryan , F. R. Geisenhof , K. Watanabe , T. Taniguchi , M. Serbyn , R. T. Weitz

We obtain the solution of the Dirac equation in (2+1) dimensions in the presence of a constant magnetic field normal to the plane together with a two-dimensional Dirac-oscillator potential coupling. We study the energy spectrum of graphene…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 Abdelhadi Belouad , Ahmed Jellal , Youness Zahidi

We consider electrostatically coupled quantum dots in topological insulators, otherwise confined and gapped by a magnetic texture. By numerically solving the (2+1) Dirac equation for the wave packet dynamics, we extract the energy spectrum…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Christian Ertler , Martin Raith , Jaroslav Fabian

Experimental realization of graphene-based stadium-shaped quantum dots (QDs) have been few and incompatible with scanned probe microscopy. Yet, direct visualization of electronic states within these QDs is crucial for determining the…

We report on the observation of periodic conductance oscillations near quantum Hall plateaus in suspended graphene nanoribbons. They are attributed to single quantum dots that form in the narrowest part of the ribbon, in the valleys and…

Mesoscale and Nanoscale Physics · Physics 2016-06-28 E. Tóvári , P. Makk , P. Rickhaus , C. Schönenberger , S. Csonka

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

This work analyzes monolayer graphene in external electromagnetic fields, which is described by the Dirac equation with minimal coupling. Supersymmetric quantum mechanics allows building new Dirac equations with modified magnetic fields.…

Mesoscale and Nanoscale Physics · Physics 2022-09-07 Miguel Castillo-Celeita , Alonso Contreras-Astorga , David J. Fernández C

We show theoretically that graphene, which exhibits a massless Dirac like spectrum for its electrons, can exhibit unconventional Kondo effect that can be tuned by an experimentally controllable applied gate voltage. We demonstrate the…

Strongly Correlated Electrons · Physics 2009-11-13 K. Sengupta , G. Baskaran

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…

Graphene is the first example of truly two-dimensional crystals - it's just one layer of carbon atoms. It turns out to be a gapless semiconductor with unique electronic properties resulting from the fact that charge carriers in graphene…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 M. I. Katsnelson , K. S. Novoselov

Zero energy states in the Dirac spectrum with U(1) symmetric massive vortices of various underlying insulating orders in strained graphene are constructed in the presence of the magnetic field. An easy plane vortex of antiferromagnet and…

Mesoscale and Nanoscale Physics · Physics 2012-05-07 Bitan Roy

By a combination of Hartree-Fock simulations, exact diagonalization, and perturbative calculations, we investigate the ground-state properties of disorder-free circular quantum dots formed in a graphene monolayer. Taking the reference…

Mesoscale and Nanoscale Physics · Physics 2011-11-01 Tomi Paananen , Reinhold Egger

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

We show that the feature of Klein tunneling makes graphene a unique interface for implementing low control quantum gates between static and mobile qubits. A ballistic electron spin is considered as the mobile qubit, while the static qubit…

Quantum Physics · Physics 2014-02-28 G. Cordourier-Maruri , Y. Omar , R. de Coss , S. Bose

Relativistic quantum theory of induced scattering of 2D Dirac particles by electrostatic field of impurity ion (in the Born approximation) in the doped graphene at the presence of an external electromagnetic radiation field (actually…

Optics · Physics 2017-11-22 A. K. Avetissian , A. G. Ghazaryan , Kh. V. Sedrakian , B. R. Avchyan

Graphene-based multilayer systems serve as versatile platforms for exploring the interplay between electron correlation and topology, thanks to distinctive low-energy bands marked by significant quantum metric and Berry curvature from…

Strongly Correlated Electrons · Physics 2026-01-30 Niklas Witt , Siheon Ryee , Lennart Klebl , Jennifer Cano , Giorgio Sangiovanni , Tim O. Wehling

Recent advances in the creation and modulation of graphene-like systems are introducing a science of "designer Dirac materials". In its original definition, artificial graphene is a man-made nanostructure that consists of identical…

Strongly Correlated Electrons · Physics 2012-10-11 E. Rasanen , C. A. Rozzi , S. Pittalis , G. Vignale

The band modulation of the silicene and graphene quantum dots is investigated by a first-principles method. This study includes the ordinary silicene and graphene quantum dots and the embedded quantum dots in the hydrogenated silicene and…

Mesoscale and Nanoscale Physics · Physics 2018-12-24 Bi-Ru Wu

The edges of graphene and graphene like systems can host localized states with evanescent wave function with properties radically different from those of the Dirac electrons in bulk. This happens in a variety of situations, that are…

Mesoscale and Nanoscale Physics · Physics 2016-09-20 J. L. Lado , N. Garcia-Martinez , J. Fernandez-Rossier

We report transport experiments on graphene quantum dots. We focus on excited state spectra in the near vicinity of the charge neutrality point and signatures of the electron-hole crossover as a function of a perpendicular magnetic field.…

Mesoscale and Nanoscale Physics · Physics 2009-11-19 J. Guettinger , C. Stampfer , T. Frey , T. Ihn , K. Ensslin