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Dirac fermions interacting with a cylindrically symmetric quantum dot potential created in single and bilayer graphene are not confined but form quasi-bound states. The broadening of these quasi-bound states (i. e. the inverse of their…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. Matulis , F. M. Peeters

We review the basic aspects of electrons in graphene (two-dimensional graphite) exposed to a strong perpendicular magnetic field. One of its most salient features is the relativistic quantum Hall effect the observation of which has been the…

Mesoscale and Nanoscale Physics · Physics 2011-11-24 M. O. Goerbig

We provide a theoretical model for electronic transitions in a two-dimensional (2D) artificial atom in a graphene monolayer. The artificial atom is due to the presence of a charged adatom (Coulomb impurity) in the layer and interacts with a…

Mesoscale and Nanoscale Physics · Physics 2024-12-13 Saparboy Rakhmanov , Reinhold Egger , Doniyor Jumanazarov , Davron Matrasulov

Using density functional theory calculations we investigate the electronic structure of graphene doped by deposition of foreign atoms. We demonstrate that, as the charge transfer to the graphene layer increases, the band structure of the…

Materials Science · Physics 2009-11-13 Matteo Calandra , Francesco Mauri

We study long-range interacting electrons on the triangular lattice using mixed quantum/classical simulations going beyond the usual classical descriptions of the lattice Coulomb fluid. Our results in the strong interaction limit indicate…

Strongly Correlated Electrons · Physics 2022-08-15 S. Fratini , K. Driscoll , S. Ciuchi , A. Ralko

We investigate the electronic properties of corrugated graphene and show how rippling-induced pseudomagnetic fields alter graphene's low-energy electronic properties by combining first principles calculations with an effective field theory.…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 T. O. Wehling , A. V. Balatsky , A. M. Tsvelik , M. I. Katsnelson , A. I. Lichtenstein

We experimentally investigate the charge induction mechanism across gated, narrow, ballistic graphene devices with different degrees of edge disorder. By using magnetoconductance measurements as the probing technique, we demonstrate that…

The optical response and the ground state of graphene and graphene-like systems are determined self-consistently. Deriving equations of motion for the basic variables, graphene Bloch equations are introduced and combined with a variational…

Materials Science · Physics 2012-01-10 T. Stroucken , J. H. Grönqvist , S. W. Koch

We report the formation of bound states in the continuum for Dirac-like fermions in structures composed by a trilayer graphene flake connected to nanoribbon leads. The existence of this kind of localized states can be proved by combining…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 N. Cortés , Leonor Chico , M. Pacheco , L. Rosales , P. A. Orellana

By means of numerical simulation we confirm that in graphene with point defects a quasigap opens in the vicinity of the resonance state with increasing impurity concentration. We prove that states inside this quasigap cannot longer be…

Disordered Systems and Neural Networks · Physics 2015-05-13 S. S. Pershoguba , Yu. V. Skrypnyk , V. M. Loktev

Quantum dots connected to larger systems containing a continuum of states like charge reservoirs allow the theoretical study of many-body effects such as the Coulomb blockade and the Kondo effect. Here, we analyze the nonequilibrium Kondo…

Mesoscale and Nanoscale Physics · Physics 2020-01-31 Levente Máthé , Ioan Grosu

The effect of substitution atoms on the energy spectrum and the electrical conductivity of graphene was investigated in a Lifshitz one-electron tight-binding model. It is established that the ordering of impurity atoms results in a gap in…

Strongly Correlated Electrons · Physics 2020-03-05 S. P. Repetsky , I. G. Vyshyvana , S. P. Kruchinin , R. M. Melnyk , A. P. Polishchuk

Edge excitations of the $\nu=0$ quantum Hall state in monolayer graphene are studied within the mean-field theory with different symmetry-breaking terms. The analytical expressions for the continuum (Dirac) model wave functions are obtained…

Mesoscale and Nanoscale Physics · Physics 2014-11-07 P. K. Pyatkovskiy , V. A. Miransky

Klein quantum dot (KQD) refers to a QD with quasi-bound states and a finite trapping time, which has been observed in experiments focused on graphene recently. In this paper, we develop a numerical method to calculate local density of…

Mesoscale and Nanoscale Physics · Physics 2018-05-10 Jiaojiao Zhou , Shu-guang Cheng , Hua Jiang

We present electronic transport measurements through short and narrow (30x30 nm) single layer graphene constrictions on a hexagonal boron nitride substrate. While the general observation of Coulomb-blockade is compatible with earlier work,…

Mesoscale and Nanoscale Physics · Physics 2015-01-30 Dominik Bischoff , Florian Libisch , Joachim Burgdörfer , Thomas Ihn , Klaus Ensslin

We investigate the electrostatic confinement of charge carriers in a gapped graphene quantum dot in the presence of a magnetic flux. The circular quantum dot is defined by an electrostatic gate potential delimited in an infinite graphene…

Mesoscale and Nanoscale Physics · Physics 2021-06-02 Ahmed Bouhlal , Abdelhadi Belouad , Ahmed Jellal , Hocine Bahlouli

Recent experiments on twisted bilayer graphene show the urgent need for establishing a low-energy lattice model for the system. We use the constrained random phase approximation to study the interaction parameters of such models taking into…

Strongly Correlated Electrons · Physics 2020-08-05 Tuomas I. Vanhala , Lode Pollet

We analyze a class of bound defect states in the continuum electronic spectrum of bilayer materials, which emerge independent of symmetry protection or additional degrees of freedom. Taking graphene as a prototypical example, our…

Mesoscale and Nanoscale Physics · Physics 2025-01-20 Daniel Massatt , Stephen P. Shipman , Ilya Vekhter , Justin H. Wilson

Graphene antidot lattices have recently been proposed as a new breed of graphene-based superlattice structures. We study electronic properties of triangular antidot lattices, with emphasis on the occurrence of dispersionless (flat) bands…

Mesoscale and Nanoscale Physics · Physics 2009-07-16 Mihajlo Vanevic , Vladimir M. Stojanovic , Markus Kindermann

The electron momentum density obtained from the Schwinger-like mechanism is evaluated for a graphene sample immersed in a homogeneous time-dependent electric field. Based on the analogy between graphene low-energy electrons and quantum…

Mesoscale and Nanoscale Physics · Physics 2016-09-21 F. Fillion-Gourdeau , D. Gagnon , C. Lefebvre , S. MacLean
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