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The electronic and optical properties of nonuniform bilayer graphene nanoribbons are worth investigating as they exhibit rich magnetic quantization. Based on our numerical results, their electronic and optical properties strongly depend on…

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…

介观与纳米尺度物理 · 物理学 2023-04-24 A. L. Rakhmanov , A. V. Rozhkov , A. O. Sboychakov

We study the band structures of hybrid graphene quantum dots subject to a magnetic flux and electrostatic potential. The system is consisting of a circular single layer graphene surrounded by an infinite bilayer graphene. By solving the…

介观与纳米尺度物理 · 物理学 2022-01-19 Bouchaib Lemaalem , Youness Zahidi , Ahmed Jellal

Twistronic has recently attracted tremendous attention because the twisting can engineer the bilayer graphene-like materials into varying types of strongly correlated phases. In this paper, we study the twisting of bilayer graphene (BLG)…

介观与纳米尺度物理 · 物理学 2022-08-25 Ma Luo

The electromagnetic response of bilayer graphene in a magnetic field is studied in comparison with that of monolayer graphene. Both types of graphene turn out to be qualitatively quite similar in dielectric and screening characteristics,…

介观与纳米尺度物理 · 物理学 2009-11-13 T. Misumi , K. Shizuya

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…

介观与纳米尺度物理 · 物理学 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

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

We derive semiclassical quantization equations for graphene mono- and bilayer systems where the excitations are confined by the applied inhomogeneous magnetic field. The importance of a semiclassical phase, a consequence of the spinor…

介观与纳米尺度物理 · 物理学 2008-08-14 A. Kormanyos , P. Rakyta , L. Oroszlany , J. Cserti

The Dirac equation is solved for triangular and hexagonal graphene quantum dots for different boundary conditions in the presence of a perpendicular magnetic field. We analyze the influence of the dot size and its geometry on their energy…

介观与纳米尺度物理 · 物理学 2015-06-03 M. Zarenia , A. Chaves , G. A. Farias , F. M. Peeters

We study uniaxially strained graphene under the influence of non-uniform magnetic fields perpendicular to the material sample with a coordinate independent strain tensor. For that purpose, we solve the Dirac equation with anisotropic Fermi…

强关联电子 · 物理学 2018-06-12 Yajaira Concha Sanchez , Adolfo Huet , Alfredo Raya , David Valenzuela

By applying the infinite-mass boundary condition, we analytically calculate the confined states and the corresponding wave functions of AA-stacked bilayer graphene quantum {dots} in the presence of an uniform magnetic field $B$. It is found…

介观与纳米尺度物理 · 物理学 2016-02-29 Abdelhadi Belouad , Youness Zahidi , Ahmed Jellal

In this paper we consider the interaction of electrons in bilayer graphene with a constant homogeneous magnetic field which is orthogonal to the bilayer surface. Departing from the energy eigenstates of the effective Hamiltonian, the…

量子物理 · 物理学 2020-07-07 David J. Fernández C. , Dennis I. Martínez-Moreno

Electronic eigen-states of a square graphene quantum dot(GQD) terminated by both zigzag and armchair edges are derived in the theoretical framework of Dirac equation. We find that the Dirac equation can determine the eigen-energy spectrum…

强关联电子 · 物理学 2008-11-27 Changlin Tang , Weihua Yan , Yisong Zheng , Guangshe Li , Liping Li

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…

介观与纳米尺度物理 · 物理学 2023-04-14 M. Mirzakhani , H. C. Park , F. M. Peeters , D. R. da Costa

We investigate the energy levels of charge carriers confined in a magnetic quantum dot in graphene with an inhomogeneous gap through an electrical potential. We solve the eigenvalue equation for two regions. We explicitly determine the…

介观与纳米尺度物理 · 物理学 2022-12-06 Fatima Belokda , Ahmed Jellal , El Houssine Atmani

We study the electronic and magnetic properties of multilayer quantum dots (MQDs) of graphite in the nearest-neighbor approximation of tight-binding model. We calculate the electronic density of states and orbital susceptibility of the…

介观与纳米尺度物理 · 物理学 2015-01-19 Hazem Abdelsalam , Tania Espinosa-Ortega , Igor Lukyanchuk

We review the electronic properties of bilayer graphene, beginning with a description of the tight-binding model of bilayer graphene and the derivation of the effective Hamiltonian describing massive chiral quasiparticles in two parabolic…

介观与纳米尺度物理 · 物理学 2013-04-23 Edward McCann , Mikito Koshino

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…

介观与纳米尺度物理 · 物理学 2026-03-16 Wlodzimierz Jaskolski

Graphene bilayers display peculiar electronic and mechanical characteristics associated to their two-dimensional character and relative disposition of the sheets. Here we study nuclear quantum effects in graphene bilayers by using…

材料科学 · 物理学 2019-06-17 Carlos P. Herrero , Rafael Ramirez

We address the electronic properties of quantum dots in the two-dimensional $\alpha-\mathcal{T}_3$ lattice when subjected to a perpendicular magnetic field. Implementing an infinite mass boundary condition, we first solve the eigenvalue…

介观与纳米尺度物理 · 物理学 2020-09-08 Alexander Filusch , Holger Fehske