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We report on several unusual properties of a graphene antidot created by a piecewise constant potential in a magnetic field. We find that the total probability of finding the electron in the barrier can be nearly one while it is almost zero…

Mesoscale and Nanoscale Physics · Physics 2010-09-08 P. S. Park , S. C. Kim , S. -R. Eric Yang

Optical properties of graphene are explored by using the generalized tight-binding model. The main features of spectral structures, the form, frequency, number and intensity, are greatly enriched by the complex relationship among the…

Computational Physics · Physics 2016-07-20 Chiun-Yan Lin , Thi-Nga Do , Yao-Kung Huang , Ming-Fa Lin

In a two dimensional free electron gas (2DEG) subjected to a perpendicular spatially varying magnetic field, the classical paths of electrons are snake-like trajectories that weave along the line where the field crosses zero. But quantum…

Mesoscale and Nanoscale Physics · Physics 2018-05-09 Pervez Hoodbhoy

The influence of a topological defect in graphene on the ground state of electronic quasiparticle excitations is studied in the framework of the long-wavelength continuum model originating in the tight-binding approximation for the nearest…

Strongly Correlated Electrons · Physics 2016-10-06 Yu. A. Sitenko , N. D. Vlasii

By a combination of Hartree-Fock simulations, exact diagonalization, and perturbative calculations, we investigate the ground-state properties of disorder-free circular quantum dots formed in a graphene monolayer. Taking the reference…

Mesoscale and Nanoscale Physics · Physics 2011-11-01 Tomi Paananen , Reinhold Egger

We consider superconducting properties of a two-dimensional Dirac material such as graphene under strain that produces a flat band spectrum in the normal state. We show that in the superconducting state, such a model results in a highly…

Superconductivity · Physics 2016-06-22 V. J. Kauppila , F. Aikebaier , T. T. Heikkilä

We study a set of crossed 1D systems, which are coupled with each other via tunnelling at the crossings. We begin with the simplest case with no electron-electron interactions and find that besides the expected level splitting, bound states…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 D. Makogon , N. de Jeu , C. Morais Smith

Crystalline nanoporous molecular networks are assembled on the Ag(111) surface, where the pores confine electrons originating from the surface state of the metal. Depending on the pore sizes and their coupling, an antibonding level is…

We show how Dirac electrons interact with a graphene quantum dots (GQDs) when exposed to both a magnetic flux and circularly polarized light. After obtaining the solutions of the energy spectrum, we compute the scattering coefficients.…

Mesoscale and Nanoscale Physics · Physics 2025-02-19 Mohammed El Azar , Ahmed Bouhlal , Hocine Bahlouli , Ahmed Jellal

With considering the great success of scanning tunnelling microscopy (STM) studies of graphene in the past few years, it is quite surprising to notice that there is still a fundamental contradiction about the reported tunnelling spectra of…

Materials Science · Physics 2018-05-30 Si-Yu Li , Ke-Ke Bai , Wei-Jie Zuo , Yi-Wen Liu , Zhong-Qiu Fu , Wen-Xiao Wang , Yu Zhang , Long-Jing Yin , Jia-Bin Qiao , Lin He

We study the tunneling of chiral electrons in graphene through a region where the electronic spectrum changes from the usual linear dispersion to a hyperbolic dispersion, due to the presence of a gap. It is shown that contrary to the…

Mesoscale and Nanoscale Physics · Physics 2008-07-09 J. Viana Gomes , N. M. R. Peres

A systematic review is made for the AA-, AB- and ABC-stacked graphites. The generalized tight-binding model, accompanied with the effective-mass approximation and the Kubo formula, is developed to investigate electronic and optical…

Mesoscale and Nanoscale Physics · Physics 2017-05-09 Chiun-Yan Lin , Rong-Bin Chen , Yen-Hung Ho , Ming-Fa Lin

The co-presence of multiple Dirac bands in few-layer graphene leads to a rich phase diagram in the quantum Hall regime. Using transport measurements, we map the phase diagram of BN-encapsulated ABA-stacked trilayer graphene as a function…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 Petr Stepanov , Yafis Barlas , Tim Espiritu , Shi Che , Kenji Watanabe , Takashi Taniguchi , Dmitry Smirnov , Chun Ning Lau

Topology is a powerful recent concept asserting that quantum states could be globally protected against local perturbations. Dissipationless topologically protected states are thus of major fundamental interest as well as of practical…

It is known that the appearance of Klein tunneling in graphene makes it hard to keep or localize electrons in a graphene-based quantum dot (GQD). However, a magnetic field can be used to temporarily confine an electron that is traveling…

Mesoscale and Nanoscale Physics · Physics 2023-12-27 Mohammed El Azar , Ahmed Bouhlal , Abdulaziz D. Alhaidari , Ahmed Jellal

We report the electronic properties of two-dimensional systems made of graphene nanoribbons which are patterned with ad-atoms in two separated regions. Due to the extra electronic confinement induced by the presence of the impurities, we…

Mesoscale and Nanoscale Physics · Physics 2015-09-25 J. W. González , L. Rosales , M. Pacheco , A. Ayuela

We study the density of states in graphene at high magnetic field, when the physics is dominated by strong correlations between electrons. In particular we use the method of Haldane pseudopotentials to focus on almost empty or almost filled…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Lih-King Lim , M. O. Goerbig , Cristina Bena

Magnetotunneling spectroscopy was employed to probe the confinement in vertical Si/Ge double-barrier resonant tunneling diodes with regularly distributed Ge quantum dots. Their current-voltage characteristics reveal a step-like behavior in…

Mesoscale and Nanoscale Physics · Physics 2010-06-08 Oleksiy B. Agafonov , Christian Dais , Detlev Grützmacher , Rolf J. Haug

We find that, for a very specific shape of a monolayer graphene sample, a general relativistic-like description of a back-ground spacetime for graphene's conductivity electrons is very natural. The corresponding electronic local density of…

Materials Science · Physics 2012-09-04 Alfredo Iorio , Gaetano Lambiase

Twisted van der Waals materials provide a tunable platform for investigating two-dimensional superconductivity and quantum phases. Using spectra-imaging scanning tunneling microscopy, we study the superconducting states in twisted bilayer…

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