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The density of states and differential entropy per particle are analyzed for Dirac-like electrons in graphene subjected to a perpendicular magnetic field and an in-plane electric field. For comparison, the derived density of states is…

Mesoscale and Nanoscale Physics · Physics 2025-02-25 Andrii A. Chaika , Yelizaveta Kulynych , D. O. Oriekhov , Sergei G. Sharapov

In the present work, we give a phenomenological theory of the monolayer graphene where two worlds quantum and classical meet together and complete each other in the most natural way. It appears that the graphene is the unique material where…

Mesoscale and Nanoscale Physics · Physics 2021-12-14 V. Apinyan , M. Sahakyan

This work analyzes monolayer graphene in external electromagnetic fields, which is described by the Dirac equation with minimal coupling. Supersymmetric quantum mechanics allows building new Dirac equations with modified magnetic fields.…

Mesoscale and Nanoscale Physics · Physics 2022-09-07 Miguel Castillo-Celeita , Alonso Contreras-Astorga , David J. Fernández C

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

We investigate electronic band-structure images in reciprocal space of few layer graphene epitaxially grown on SiC(000-1). In addition to the observation of commensurate rotation angles of the graphene layers, the k-space images recorded…

Materials Science · Physics 2018-06-19 C. Mathieu , E. H. Conrad , F. Wang , J. E. Rault , V. Feyer , C. M. Schneider , O. Renault , N. Barrett

We show that the magnetic response of atomically thin materials with Dirac spectrum and spin-orbit interactions can exhibit strong dependence on electron-electron interactions. While graphene itself has a very small spin-orbit coupling,…

Mesoscale and Nanoscale Physics · Physics 2020-07-24 Sanghita Sengupta , Madalina I. Furis , Oleg P. Sushkov , Valeri N. Kotov

We study the electronic band structures of massless Dirac fermions in symmetrical graphene superlattice with cells of three regions. Using the transfer matrix method, we explicitly determine the dispersion relation in terms of different…

Mesoscale and Nanoscale Physics · Physics 2018-07-04 Abdellatif Kamal , El Bouâzzaoui Choubabi , Ahmed Jellal

The electronic structure of a graphene superlattice composed by two periodic regions with different Fermi velocity, energy gap and electrostatic potential is investigated by using an effective Dirac-like Hamiltonian. It must be expected…

Materials Science · Physics 2015-04-07 Jonas R. F. Lima

In the last few years, the fascinating properties of graphene have been thoroughly investigated. The existence of Dirac cones is the most important characteristic of the electronic band-structure of graphene. In this theoretical paper,…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 A. M. Rojas-Cuervo , K. M. Fonseca-Romero , R. R. Rey-González

Tuning interactions between Dirac states in graphene has attracted enormous interest because it can modify the electronic spectrum of the two-dimensional material, enhance electron correlations, and give rise to novel condensed-matter…

We present measurements of transmission and reflection spectra of a microwave photonic crystal composed of 874 metallic cylinders arranged in a triangular lattice. The spectra show clear evidence of a Dirac point, a characteristic of a…

Mesoscale and Nanoscale Physics · Physics 2011-07-27 S. Bittner , B. Dietz , M. Miski-Oglu , P. Oria Iriarte , A. Richter , F. Schaefer

We theoretically investigate electron transport through corrugated graphene ribbons and show how the ribbon curvature leads to an electronic superlattice with a period set by the corrugation wave length. Transport through the ribbon depends…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. Isacsson , L. M. Jonsson , J. M. Kinaret , M. Jonson

We put forward a concept to create highly collimated, non-dispersive electron beams in pseudo-relativistic Dirac materials such as graphene or topological insulator surfaces. Combining negative refraction and Klein collimation at a…

Mesoscale and Nanoscale Physics · Physics 2017-02-09 Ming-Hao Liu , Cosimo Gorini , Klaus Richter

We study the Bloch spectrum and spin physics of 2D massless Dirac electrons in single layer graphene subject to a one dimensional periodic Kronig-Penney potential and Rashba spin-orbit coupling. The Klein paradox exposes novel features in…

Mesoscale and Nanoscale Physics · Physics 2021-08-18 Y. Avishai , Y. B. Band

We find a systematic reappearance of massive Dirac features at the edges of consecutive minibands formed at magnetic fields B_{p/q}= p\phi_0/(qS) providing rational magnetic flux through a unit cell of the moire superlattice created by a…

Mesoscale and Nanoscale Physics · Physics 2014-02-10 Xi Chen , J. R. Wallbank , A. A. Patel , M. Mucha-Kruczynski , E. McCann , V. I. Fal'ko

Energy band structure of the bilayer graphene superlattices with $\delta$-function magnetic barriers and zero average magnetic flux is studied within the four-band continuum model, using the transfer matrix method. The periodic magnetic…

Mesoscale and Nanoscale Physics · Physics 2014-09-29 C. Huy Pham , T. Thuong Nguyen , V. Lien Nguyen

We study the transport properties of Dirac fermions through gapped graphene through a magnetic barrier irradiated by a laser field oscillating in time. We use Floquet theory and the solution of Weber's differential equation to determine the…

Mesoscale and Nanoscale Physics · Physics 2023-12-27 Rachid El Aitouni , Miloud Mekkaoui , Ahmed Jellal , Michael Schreiber

Using Chebyshev polynomials, we study the electronic transport properties of massless Dirac fermions in symmetrical graphene superlattice composed of three regions. Matching wavefunctions and using transfer matrix method, we explicitly…

Mesoscale and Nanoscale Physics · Physics 2018-12-27 El Bouâzzaoui Choubabi , Abdellatif Kamal , Ahmed Jellal

Electrons in graphene, behaving as massless relativistic Dirac particles, provide a new perspective on the relation between condensed matter and high-energy physics. We discuss atomic collapse, a novel state of superheavy atoms stripped of…

Mesoscale and Nanoscale Physics · Physics 2009-05-30 Andrei Shytov , Mark Rudner , Nan Gu , Mikhail Katsnelson , Leonid Levitov

The electronic properties of bilayer graphene strongly depend on relative orientation of the two atomic lattices. Whereas Bernal-stacked graphene is most commonly studied, a rotational mismatch between layers opens up a whole new field of…

Mesoscale and Nanoscale Physics · Physics 2014-12-15 Hennrik Schmidt , Johannes C. Rode , Dmitri Smirnov , Rolf J. Haug