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The effect of strain in graphene is usually modeled by a pseudo-magnetic vector potential which is, however, derived in the limit of small strain. In realistic cases deviations are expected in view of graphene's very high strain tolerance,…

Mesoscale and Nanoscale Physics · Physics 2014-01-27 D. Moldovan , M. Ramezani Masir , F. M. Peeters

We consider the pairing of electrons and holes due to their Coulomb attraction in two parallel, independently gated graphene layers, separated by a barrier. At weak coupling, there exist the BCS-like pair-condensed state. Despite the fact…

Strongly Correlated Electrons · Physics 2009-11-13 Yu. E. Lozovik , A. A. Sokolik

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…

Mesoscale and Nanoscale Physics · Physics 2021-11-24 Si-Yu Li , Lin He

Electronic localization is numerically studied in disordered bilayer graphene with an electric-field induced energy gap. Bilayer graphene is a zero-gap semiconductor, in which an energy gap can be opened and controlled by an external…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Mikito Koshino

Graphene properties can be manipulated by a periodic potential. Based on the tight-binding model, we study graphene under a one-dimensional (1D) modulated magnetic field which contains both a uniform and a staggered component. New chiral…

Strongly Correlated Electrons · Physics 2011-01-18 Lei Xu , Jin An , Chang-De Gong

Experimental realizations of Abelian fractional Chern insulators (FCIs) have demonstrated the potentials of moir\'e systems in synthesizing exotic quantum phases. Remarkably, twisted multilayer graphene system may also host non-Abelian…

Strongly Correlated Electrons · Physics 2025-07-15 Sen Niu , Yang Peng , D. N. Sheng

Bilayer graphene is a maturing material platform for gate-defined quantum dots that hosts long-lived spin and valley states. Implementing solid-state qubits in bilayer graphene requires a fundamental understanding of such confined…

We demonstrate the existence of localized electron and hole states in a ring-shaped potential kink in biased bilayer graphene. Within the continuum description, we show that for sharp potential steps the Dirac equation describing carrier…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 L. J. P. Xavier , J. M. Pereira , Andrey Chaves , G. A. Farias , F. M. Peeters

The electronic states of a finite-width graphene sheet in the presence of an electrostatic confining potential and a perpendicular magnetic field are investigated. The confining potential shifts the Landau levels inside the well and creates…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Milton Pereira , F. M. Peeters , P. Vasilopoulos

Graphene is a nonmagnetic semimetal and cannot be directly used as electronic or spintronic devices. We demonstrate that graphene quantum dots (GQDs) can exhibit strong edge magnetism and tunable energy gaps due to the presence of localized…

Materials Science · Physics 2017-11-01 Wei Hu , Yi Huang , Lin Lin , Erjun Kan , Xingxing Li , Chao Yang , Jinlong Yang

In this paper, the electronic properties of 30{\deg} twisted double bilayer graphene, which loses the translational symmetry due to the incommensurate twist angle, are studied by means of the tight-binding approximation. We demonstrate the…

Materials Science · Physics 2020-09-14 Guodong Yu , Zewen Wu , Zhen Zhan , Mikhail I. Katsnelson , Shengjun Yuan

Strong interaction between electrons in two-dimensional systems in the presence of a high magnetic field gives rise to fractional quantum Hall states that host quasiparticles with fractional charge and fractional exchange statistics. Here,…

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…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 G. Giavaras , Franco Nori

Among many remarkable qualities of graphene, its electronic properties attract particular interest due to a massless chiral character of charge carriers, which leads to such unusual phenomena as metallic conductivity in the limit of no…

Mesoscale and Nanoscale Physics · Physics 2011-04-07 F. Guinea , M. I. Katsnelson , A. K. Geim

Symmetry breaking in a quantum system often leads to complex emergent behavior. In bilayer graphene (BLG), an electric field applied perpendicular to the basal plane breaks the inversion symmetry of the lattice, opening a band gap at the…

Two dimensional electronic systems under strong magnetic field form quantum Hall (QH) edge states, which propagate along the boundary of a sample with a dissipationless current. Engineering the pathway of these propagating one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2019-04-17 Ke Wang , Achim Harzheim , Ji Ung Lee , Takashi Taniguchi , Kenji Watanabe , Philip Kim

We describe the gated bilayer graphene system when it is subjected to intense terahertz frequency electromagnetic radiation. We examine the electron band structure and density of states via exact diagonalization methods within Floquet…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 D. S. L. Abergel , Tapash Chakraborty

Electrons in clean macroscopic samples of graphene exhibit an astonishing variety of quantum phases when strong perpendicular magnetic field is applied. These include integer and fractional quantum Hall states as well as symmetry broken…

Strongly Correlated Electrons · Physics 2018-07-25 Anffany Chen , R. Ilan , F. de Juan , D. I. Pikulin , M. Franz

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 study the low energy edge states of bilayer graphene in a strong perpendicular magnetic field. Several possible simple boundaries geometries related to zigzag edges are considered. Tight-binding calculations reveal three types of edge…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Victoria Mazo , Efrat Shimshoni , Herbert A. Fertig