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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…

Mesoscale and Nanoscale Physics · Physics 2021-08-02 Abdelhadi Belouad , Abdellatif Kamal , El Bouâzzaoui Choubabi , Rachid Houça , Mohammed El Bouziani

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…

Mesoscale and Nanoscale Physics · Physics 2016-10-31 Youness Zahidi , Abdelhadi Belouad , Ahmed Jellal

We propose a new system where electron and hole states are electrostatically confined into a quantum ring in bilayer graphene. These structures can be created by tuning the gap of the graphene bilayer using nanostructured gates or by…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 M. Zarenia , J. M. Pereira , F. M. Peeters , G. A. Farias

The magnetic field dependence of energy levels in gapped single- and bilayer graphene quantum dots (QDs) defined by electrostatic gates is studied analytically in terms of the Dirac equation. Due to the absence of sharp edges in these types…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Patrik Recher , Johan Nilsson , Guido Burkard , Bjoern Trauzettel

Artificial molecular states of double quantum dots defined in bilayer graphene are studied with the atomistic tight-binding and its low-energy continuum approximation. We indicate that the extended electron wave functions have opposite…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 D. P. Żebrowski , F. M. Peeters , B. Szafran

We determine the optical properties of gated bilayer graphene quantum dots with trigonal warping (TW) of single-particle energy spectra. The lateral structure of metallic gates confines electrons and holes in a quantum dot (QD)…

Mesoscale and Nanoscale Physics · Physics 2025-06-03 Matthew Albert , Daniel Miravet , Yasser Saleem , Katarzyna Sadecka , Marek Korkusinski , Gabriel Bester , Pawel Hawrylak

We present a systematic study of the energy levels of twisted bilayer graphene (tBLG) quantum dots (QD) and rings (QR) under an external perpendicular magnetic field. The confinement structures are modeled by a circular dot-like- and…

Mesoscale and Nanoscale Physics · Physics 2024-10-17 N. S. Bandeira , Andrey Chaves , L. V. de Castro , R. N. Costa Filho , M. Mirzakhani , F. M. Peeters , D. R. da Costa

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…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Monica T. Allen , Jens Martin , Amir Yacoby

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…

Mesoscale and Nanoscale Physics · Physics 2017-06-22 Abdelhadi Belouad , Youness Zahidi , Ahmed Jellal , Abdelhadi Bahaoui

We study quantum dots defined by external potentials within finite flakes of bilayer graphene using the tight-binding approach. We find that in the limit of large flakes containing zigzag edges the dot-localized energy levels appear within…

Mesoscale and Nanoscale Physics · Physics 2013-10-21 D. P. Żebrowski , E. Wach , B. Szafran

Recent experiments indicate that AA-stacked bilayer graphenes (BLG) could exist. Since the energy bands of the AA-stacked BLG are different from both the monolayer and AB-stacked bilayer graphenes, different integer quantum Hall effect in…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Ya-Fen Hsu , Guang-Yu Guo

We investigate the electronic confinement in bilayer graphene by topological loops of different shapes. These loops are created by lateral gates acting via gap inversion on the two graphene sheets. For large-area loops the spectrum is well…

Mesoscale and Nanoscale Physics · Physics 2022-01-12 Nassima Benchtaber , David Sánchez , Llorenç Serra

We study topological bound states in quantum dots defined by an electric field in bilayer graphene. An external field is perpendicular to the bilayer and changes sign in a finite region that defines the quantum dot. The electric field opens…

Mesoscale and Nanoscale Physics · Physics 2026-03-16 Wlodzimierz Jaskolski

While the exponential decay of tunneling probability with barrier thickness is well known, the accompanying oscillations with thickness have been comparatively less explored. Using a tight binding model, we investigate an AB-stacked bilayer…

Mesoscale and Nanoscale Physics · Physics 2025-07-11 Ryo Tamura

We developed the generalized tight-binding model to study the magneto-electronic properties of AAB-stacked trilayer graphene. Three groups of Landau levels (LLs) are characterized by the dominating subenvelope function on distinct…

Materials Science · Physics 2015-04-02 Thi-Nga Do , Chiun-Yan Lin , Yi-Ping Lin , Po-Hsin Shih , Ming-Fa Lin

Using the continuum model, we investigate the electronic properties of two types of bilayer graphene (BLG) quantum ring (QR) geometries: (i) an isolated BLG QR and (ii) a monolayer graphene (MLG) with a QR put on top of an infinite graphene…

Mesoscale and Nanoscale Physics · Physics 2022-04-06 M. Mirzakhani , D. R. da Costa , F. M. Peeters

We study analytically and numerically electronic properties of a circular quantum dot made from AA bilayer graphene. We observe a discrete set of dot radii for which the low-energy electron states are degenerate with respect to the layer…

Mesoscale and Nanoscale Physics · Physics 2023-04-24 A. L. Rakhmanov , A. V. Rozhkov , A. O. Sboychakov

Using a tight-binding model along with the mean-field Hubbard method, we investigate the effect of twisting angle on the magnetic properties of twisted bilayer graphene (tBLG) quantum dots (QDs) with triangular shape and zigzag edges. We…

Mesoscale and Nanoscale Physics · Physics 2023-04-14 M. Mirzakhani , H. C. Park , F. M. Peeters , D. R. da Costa

We discuss and compare two different types of confinement in bilayer graphene by top and bottom gating with symmetrical microelectrodes. Trivial confinement corresponds to the same polarity of all top gates, which is opposed to that of all…

Mesoscale and Nanoscale Physics · Physics 2022-04-19 Nassima Benchtaber , David Sánchez , Llorenç Serra

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
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