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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…

介观与纳米尺度物理 · 物理学 2013-10-21 D. P. Żebrowski , E. Wach , B. Szafran

Bilayer graphene is a nanomaterial that allows for well-defined, separated quantum states to be defined by electrostatic gating and, therefore, provides an attractive platform to construct tunable quantum dots. When a magnetic field…

介观与纳米尺度物理 · 物理学 2022-12-23 Jozef Bucko , Frank Schäfer , František Herman , Rebekka Garreis , Chuyao Tong , Annika Kurzmann , Thomas Ihn , Eliska Greplova

We demonstrate theoretically that quantum dots in bilayers of graphene can be realized. A position-dependent doping breaks the equivalence between the upper and lower layer and lifts the degeneracy of the positive and negative momentum…

介观与纳米尺度物理 · 物理学 2007-05-23 J. Milton Pereira , P. Vasilopoulos , F. M. Peeters

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…

介观与纳米尺度物理 · 物理学 2017-08-02 D. P. Żebrowski , F. M. Peeters , B. Szafran

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…

介观与纳米尺度物理 · 物理学 2022-01-12 Nassima Benchtaber , David Sánchez , Llorenç Serra

Electrostatic confinement of charge carriers in bilayer graphene provides a unique platform for carbon-based spin, charge or exchange qubits. By exploiting the possibility to induce a band gap with electrostatic gating, we form a versatile…

We suggest a way of confining quasiparticles by an external potential in a small region of a graphene strip. Transversal electron motion plays a crucial role in this confinement. Properties of thus obtained graphene quantum dots are…

介观与纳米尺度物理 · 物理学 2007-05-23 P. G. Silvestrov , K. B. Efetov

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…

介观与纳米尺度物理 · 物理学 2009-11-13 Patrik Recher , Johan Nilsson , Guido Burkard , Bjoern Trauzettel

Trapping electrons in quantum dots and controlling their collective quantum states is crucial for converting semiconductor structures into bits of quantum information processing. Here, we study single- and two-particle states in quantum…

介观与纳米尺度物理 · 物理学 2020-07-01 Angelika Knothe , Vladimir Fal'ko

We examine a graphene quantum dot formed by combining an electric and a uniform magnetic field. The electric field creates a smooth quantum well potential while the magnetic field induces an exponential tail to the dot states. The states…

介观与纳米尺度物理 · 物理学 2015-06-04 G. Giavaras , Franco Nori

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)…

介观与纳米尺度物理 · 物理学 2025-06-03 Matthew Albert , Daniel Miravet , Yasser Saleem , Katarzyna Sadecka , Marek Korkusinski , Gabriel Bester , Pawel Hawrylak

We present theoretical results based on mean-field and exact many-body approaches showing that in bilayer triangular graphene quantum dots with zigzag edges the magnetism can be controlled by an external vertical electric-field. We…

介观与纳米尺度物理 · 物理学 2015-05-27 A. D. Guclu , P. Potasz , P. Hawrylak

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…

介观与纳米尺度物理 · 物理学 2009-11-13 A. Matulis , F. M. Peeters

Realizations of some topological phases in two-dimensional systems rely on the challenge of jointly incorporating spin-orbit and magnetic exchange interactions. Here, we predict the formation and control of a fully valley-polarized quantum…

介观与纳米尺度物理 · 物理学 2021-10-25 Marc Vila , Jose H. Garcia , Stephan Roche

Electrostatically confined quantum dots in bilayer graphene have shown potential as building blocks for quantum technologies. To operate the dots, e.g., as qubits, a precise understanding and control of the confined states and their…

介观与纳米尺度物理 · 物理学 2024-04-16 Dennis Mayer , Angelika Knothe

Electronic states at domain walls in bilayer graphene are studied by analyzing their four and two band continuum models, by performing numerical calculations on the lattice, and by using quantum geometric arguments. The continuum theories…

介观与纳米尺度物理 · 物理学 2013-06-28 Fan Zhang , A. H. MacDonald , E. J. Mele

Monolayer graphene placed with a twist on top of AB-stacked bilayer graphene hosts topological flat bands in a wide range of twist angles. The dispersion of these bands and gaps between them can be efficiently controlled by a perpendicular…

强关联电子 · 物理学 2020-08-05 Louk Rademaker , Ivan Protopopov , Dmitry Abanin

A parabolic quantum dot (QD) as realized by biasing nanostructured gates on bilayer graphene is investigated in the presence of electron-electron interaction. The energy spectrum and the phase diagram reveal unexpected transitions as…

介观与纳米尺度物理 · 物理学 2015-06-18 M. Zarenia , B. Partoens , T. Chakraborty , F. M. Peeters

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

Electrostatically defined quantum dots (QDs) in Bernal stacked bilayer graphene (BLG) are a promising quantum information platform because of their long spin decoherence times, high sample quality, and tunability. Importantly, the shape of…

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