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Graphene nanoribbons (GNRs) have attracted a strong interest from researchers worldwide, as they constitute an emerging class of quantum-designed materials. The major challenges towards their exploitation in electronic applications include…

The Quantum Twisting Microscope (QTM) is a groundbreaking instrument that enables energy- and momentum-resolved measurements of quantum phases via tunneling spectroscopy across twistable van der Waals heterostructures. In this work, we…

In spite of unscreened Coulomb interactions close to charge neutrality, relativistic massless electrons in graphene allegedly behave as noninteracting particles. A clue to this paradox is that both interaction and kinetic energies scale…

Mesoscale and Nanoscale Physics · Physics 2014-09-29 K. A. Guerrero-Becerra , Massimo Rontani

In order to use graphene for semiconductor applications, such as transistors with high on/off ratios, a band gap must be introduced into this otherwise semimetallic material. A promising method of achieving a band gap is by introducing…

Mesoscale and Nanoscale Physics · Physics 2014-08-18 M. R. Thomsen , S. J. Brun , T. G. Pedersen

This article provides a pedagogical review on Klein tunneling in graphene, i.e. the peculiar tunneling properties of two-dimensional massless Dirac electrons. We consider two simple situations in detail: a massless Dirac electron incident…

Mesoscale and Nanoscale Physics · Physics 2011-11-03 P. E. Allain , J. N. Fuchs

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

Graphene has proven to host outstanding mesoscopic effects involving massless Dirac quasiparticles travelling ballistically resulting in the current flow exhibiting light-like behaviour. A new branch of 2D electronics inspired by the…

Mesoscale and Nanoscale Physics · Physics 2018-08-22 Gaetano Calogero , Nick R. Papior , Peter Bøggild , Mads Brandbyge

An electrostatic quantum dot cannot be formed in monolayer graphene, because of the Klein tunnelling. However, a dot can be formed with the help of a uniform magnetic field. As shown here, a spatial modulation of the Dirac gap leads to…

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

In this comprehensive study, we undertake a thorough theoretical examination of the electronic subband structures within cove-edged zigzag graphene nanoribbons (CZGNRs) using the tight-binding model. These unique nanostructures arise from…

Mesoscale and Nanoscale Physics · Physics 2023-10-26 David M T Kuo

The construction of atomically-precise carbon nanostructures holds promise for developing novel materials for scientific study and nanotechnology applications. Here we show that graphene origami is an efficient way to convert graphene into…

Recently, transition metal dichalcogenides (TMDCs) semiconductors have been utilized for investigating quantum phenomena because of their unique band structures and novel electronic properties. In a quantum dot (QD), electrons are confined…

Mesoscale and Nanoscale Physics · Physics 2020-03-04 Gang Luo , Zhuo-Zhi Zhang , Hai-Ou Li , Xiang-Xiang Song , Guang-Wei Deng , Gang Cao , Ming Xiao , Guo-Ping Guo

The gap equation for Dirac quasiparticles in monolayer graphene in constant magnetic and pseudomagnetic fields, where the latter is due to strain, is studied in a low-energy effective model with contact interactions. Analyzing solutions of…

Strongly Correlated Electrons · Physics 2015-12-14 D. O. Rybalka , E. V. Gorbar , V. P. Gusynin

We consider resonant scatterers with large scattering cross-sections in graphene that are produced by a gated disk or a vacancy, and show that a gated ring can be engineered to produce an efficient electron cloak. We also demonstrate that…

Mesoscale and Nanoscale Physics · Physics 2015-04-23 Diego Oliver , Jose H. Garcia , Tatiana G. Rappoport , N. M. R. Peres , Felipe A. Pinheiro

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…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. Matulis , F. M. Peeters

The electronic properties of graphene may be changed from semimetallic to semiconducting by introducing perforations (antidots) in a periodic pattern. The properties of such graphene antidot lattices (GALs) have previously been studied…

Mesoscale and Nanoscale Physics · Physics 2014-09-12 S. J. Brun , M. R. Thomsen , T. G. Pedersen

A way to represent the band structure that distinguishes between energy-momentum and energy-crystal momentum relationships is proposed upon the band-unfolding concept. This momentum-resolved band structure offers better understanding of the…

Materials Science · Physics 2018-07-02 Chi-Cheng Lee , Masahiro Fukuda , Yung-Ting Lee , Taisuke Ozaki

Ballistic electrons in solids can have mean free paths far larger than the smallest features patterned by lithography. This has allowed development and study of solid-state electron-optical devices such as beam splitters and quantum point…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 Arthur W. Barnard , Alex Hughes , Aaron L. Sharpe , Kenji Watanabe , Takashi Taniguchi , David Goldhaber-Gordon

Overcoming the limitations of current nanofabrication techniques to achieve nanoscale feature sizes is essential for achieving new regimes of light-matter interactions at extreme frequencies and length scales. Here, we demonstrate a…

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

The two-dimensional Dirac equation has been widely used in graphene physics, the surface of topological insulators, and especially quantum scarring. Although a numerical approach to tackling an arbitrary confining problem was proposed…

Computational Physics · Physics 2023-09-06 Jiale Sun , Xiaoshui Lin