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Laterally localized electronic states are identified on a single layer of graphene on ruthenium. The individual states are separated by 3 nm and comprise regions of about 90 carbon atoms. This constitutes a quantum dot array, evidenced by…

Materials Science · Physics 2010-07-08 H. G. Zhang , H. Hu , Y. Pan , J. H. Mao , M. Gao , H. M. Guo , S. X. Du , T. Greber , H. -J. Gao

We present and analyze two mathematical models for the self consistent quantum transport of electrons in a graphene layer. We treat two situations. First, when the particles can move in all the plane $\RR^2$, the model takes the form of a…

Analysis of PDEs · Mathematics 2013-10-28 Raymond El Hajj , Florian Méhats

We have formulated a theory for investigating the conditions which are required to achieve entangled states of electrons on graphene and three-dimensional (3D) topological insulators (TIs). We consider the quantum entanglement of spins by…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Andrii Iurov , Godfrey Gumbs

We present a numerical approach for the solution of electromagnetic scattering from a dielectric cylinder partially covered with graphene. It is based on a classical Fourier-Bessel expansion of the fields inside and outside the cylinder to…

Optics · Physics 2025-03-07 Youssef Jeyar , Mauro Antezza , Brahim Guizal

After having derived boundary conditions for dressed-state electrons in a dice lattice, we investigate the electron tunneling through a square electrostatic potential barrier in both dice lattices and graphene under a linearly-polarized…

Mesoscale and Nanoscale Physics · Physics 2020-06-16 Andrii Iurov , Liubov Zhemchuzhna , Paula Fekete , Godfrey Gumbs , Danhong Huang

This paper reports on the topological effects of three-dimensional (3D) porous graphene with tunable pore sizes and a preserved 2D graphene system of Dirac quasiparticles on its electrical properties. This 3D architecture is characterized…

Materials Science · Physics 2020-02-20 Takuya Okamoto , Yoshikazu Ito , Naoka Nagamura , Keishi Akada , Takeshi Fujita , Yukio Kawano

We propose a mechanism for the quenching of the Shubnikov de Haas oscillations and the quantum Hall effect observed in epitaxial graphene. Experimental data show that the scattering time of the conduction electron is magnetic field…

Mesoscale and Nanoscale Physics · Physics 2008-05-13 Pierre Darancet , Nicolas Wipf , Claire Berger , Walt de Heer , Didier Mayou

We present realistic simulations of quantum confinement effects in ballistic graphene quantum dots with linear dimensions of 10 to 40 nm. We determine wavefunctions and energy level statistics in the presence of disorder resulting from edge…

Mesoscale and Nanoscale Physics · Physics 2009-03-18 F. Libisch , C. Stampfer , J. Burgdörfer

We explore the inelastic electron scattering cross section off a quantum dot close to the Stoner instability. We focus on the regime of strong Coulomb blockade in which the scattering cross section is dominated by the cotunneling processes.…

Mesoscale and Nanoscale Physics · Physics 2016-08-09 E. V. Repin , I. S. Burmistrov

Coupled electron-hole states are realized in a system consisting of a combination of an electrostatic potential barrier and ring-shaped potential well, which resembles a circular dipole. A perpendicular magnetic field induces confined…

Mesoscale and Nanoscale Physics · Physics 2019-04-05 R. Van Pottelberge , F. M. Peeters

A model of the non-concentric spherical core-shell quantum dot under the influence of an externally applied electric field was proposed. It was established that the energy spectrum of both the electron and the hole depends on the intensity…

Mesoscale and Nanoscale Physics · Physics 2024-12-31 R. Ya. Leshko , I. V. Bilynskyi , O. V. Leshko , M. Yu. Popov , A. O. Ocheretyanyi

The properties of a two-dimensional electron are investigated in the presence of a circular step magnetic field profile. Both electrons with parabolic dispersion as well as Dirac electrons with linear dispersion are studied. We found that…

Mesoscale and Nanoscale Physics · Physics 2009-07-22 M. Ramezani Masir , A. Matulis , F. M. Peeters

We investigate the dynamics of interacting electrons confined to two types of quantum dot system, when driven by an external AC field. We first consider a system of two electrons confined to a pair of coupled quantum dots by using an…

Mesoscale and Nanoscale Physics · Physics 2018-03-21 C. E. Creffield , G. Platero

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…

Mesoscale and Nanoscale Physics · Physics 2015-01-19 Hazem Abdelsalam , Tania Espinosa-Ortega , Igor Lukyanchuk

Scattering of electrons from chiral spin textures such as the skyrmions is an emerging research area due to its richness in topological quantum transport, which is significant for spintronic devices. We study the dynamical process of…

Mesoscale and Nanoscale Physics · Physics 2026-03-03 Hareram Swain , Arijit Mandal , S. Satpathy , B. R. K. Nanda

Quantum spin Hall insulators, recently realized in HgTe/(Hg,Cd)Te quantum wells, support topologically protected, linearly dispersing edge states with spin-momentum locking. A local magnetic exchange field can open a gap for the edge…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Carsten Timm

We report on quantum-interference measurements in top-gated Hall bars of monolayer graphene epitaxially grown on the Si face of SiC, in which the transition from negative to positive magnetoresistance was achieved varying temperature and…

Mesoscale and Nanoscale Physics · Physics 2013-12-06 Andrea Iagallo , Shinichi Tanabe , Stefano Roddaro , Makoto Takamura , Hiroki Hibino , Stefan Heun

We obtain the solution of the Dirac equation in (2+1) dimensions in the presence of a constant magnetic field normal to the plane together with a two-dimensional Dirac-oscillator potential coupling. We study the energy spectrum of graphene…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 Abdelhadi Belouad , Ahmed Jellal , Youness Zahidi

We study the low-energy spectrum of a single hole confined in a planar Ge quantum dot (QD) within the effective-mass formalism. The QD is sandwiched between two GeSi barriers of finite potential height grown along the [001] direction. To…

Mesoscale and Nanoscale Physics · Physics 2025-09-29 Jiawei Wang , Xuedong Hu , Herbert F Fotso

It is shown that the electron scattering by static defects, acoustic or optical phonons in quantum wells subjected to an in-plane magnetic field is asymmetric. The probability of scattering contains terms which are proportional to both the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. A. Tarasenko