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We use numerically exact Chebyshev expansion and kernel polynomial methods to study transport through circular graphene quantum dots in the framework of a tight-binding honeycomb lattice model. Our focus lies on the regime where individual…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 A. Pieper , R. L. Heinisch , H. Fehske

We consider a square lattice configuration of circular gate-defined quantum dots in an unbiased graphene sheet and calculate the electronic, particularly spectral properties of finite albeit actual sample sized systems by means of a…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 A. Pieper , R. L. Heinisch , G. Wellein , H. Fehske

We present transport measurements on quantum dots of sizes 45, 60 and 80 nm etched with an Ar/O2-plasma into a single graphene sheet, allowing a size comparison avoiding effects from different graphene flakes. The transport gaps and…

Mesoscale and Nanoscale Physics · Physics 2013-08-01 D. Kölbl , D. M. Zumbühl

Due to Klein tunneling in graphene only quasi-bound states are realized in graphene quantum dots by electrostatic gating. Particles in the quasi-bound states are trapped inside the dot for a finite time and they keep bouncing back and forth…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 Abdelhadi Belouad , Youness Zahidi , Ahmed Jellal , Hocine Bahlouli

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

In this review, we provide an account of the recent progress in understanding electronic transport in disordered graphene systems. Starting from a theoretical description that emphasizes the role played by band structure properties and…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Eduardo R. Mucciolo , Caio H. Lewenkopf

We study the electron propagation in a circular electrostatically defined quantum dot in graphene. Solving the scattering problem for a plane Dirac electron wave we identify different scattering regimes depending on the radius and potential…

Mesoscale and Nanoscale Physics · Physics 2015-07-17 C. Schulz , R. L. Heinisch , H. Fehske

We study the electronic states of graphene in piecewise constant potentials using the continuum Dirac equation appropriate at low energies, and a transfer matrix method. For superlattice potentials, we identify patterns of induced Dirac…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 D. P. Arovas , L. Brey , H. A. Fertig , Eun-Ah Kim , K. Ziegler

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…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. G. Silvestrov , K. B. Efetov

We theoretically analyse the possibility to electrostatically confine electrons in circular quantum dot arrays, impressed on contacted graphene nanoribbons by top gates. Utilising exact numerical techniques, we compute the scattering…

Mesoscale and Nanoscale Physics · Physics 2016-04-21 Holger Fehske , Georg Hager , Andreas Pieper

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…

Mesoscale and Nanoscale Physics · Physics 2020-09-08 Alexander Filusch , Holger Fehske

We report on transport characteristics of quantum dot devices etched entirely in graphene. At large sizes, they behave as conventional single-electron transistors, exhibiting periodic Coulomb blockade peaks. For quantum dots smaller than…

Mesoscale and Nanoscale Physics · Physics 2008-04-18 L. A. Ponomarenko , F. Schedin , M. I. Katsnelson , R. Yang , E. H. Hill , K. S. Novoselov , A. K. Geim

Quantum transport properties through some multilevel quantum dots sandwiched between two metallic contacts are investigated by the use of Green's function technique. Here we do parametric calculations, based on the tight-binding model, to…

Mesoscale and Nanoscale Physics · Physics 2009-11-06 Santanu K. Maiti

We analyze the single particle states at the edges of disordered graphene quantum dots. We show that generic graphene quantum dots support a number of edge states proportional to circumference of the dot over the lattice constant. Our…

Mesoscale and Nanoscale Physics · Physics 2010-07-13 M. Wimmer , A. R. Akhmerov , F. Guinea

We theoretically analyze the possibility to confine electrons in single-layer graphene with the help of metallic gates, via the evaluation of the density of states of such a gate-defined quantum dot in the presence of a ring-shaped metallic…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Martin Schneider , Piet W. Brouwer

We develop the stub model for the Dirac Quantum Dot, an electron confining device on a grapheme surface. Analytical results for the average conductance and the correlation functions are obtained and found in agreement with those found…

Mesoscale and Nanoscale Physics · Physics 2016-03-30 J. G. G. S. Ramos , M. S. Hussein , A. L. R. Barbosa

We derive a fluid-dynamic model for electron transport near a Dirac point in graphene. The derivation is based on the minimum entropy principle, which is exploited in order to close fluid-dynamic equations for quantum mixed states. To this…

Mathematical Physics · Physics 2019-05-27 Nicola Zamponi , Luigi Barletti

We study electron scattering in graphene quantum dots (GQDs) under the combined influence of a magnetic field, an energy gap, and circularly polarized laser irradiation. Using the Floquet approach and the Dirac equation, we derive the…

Mesoscale and Nanoscale Physics · Physics 2025-01-30 Ahmed Bouhlal , Mohammed El Azar , Aotmane En Naciri , Elmustapha Feddi , Ahmed Jellal

We study the energy spectrum and persistent current of charge carriers confined in a graphene quantum ring geometry of radius $R$ and width $w$ subjected to a magnetic flux. We consider the case where the crystal symmetry is locally…

Mesoscale and Nanoscale Physics · Physics 2021-04-14 Abdelhadi Belouad , Ahmed Jellal , Hocine Bahlouli

We theoretically investigate the effects of long-range disorder and electron-electron interactions on the optical properties of hexagonal armchair graphene quantum dots consisting of up to 10806 atoms. The numerical calculations are…

Mesoscale and Nanoscale Physics · Physics 2017-02-08 A. Altıntaş , K. E. Çakmak , A. D. Güçlü
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