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In [Ammari et al., SIAM J Math Anal., 52 (2020), pp. 5441--5466], the first author with collaborators proved the existence of Dirac dispersion cones at subwavelength scales in bubbly honeycomb phononic crystals. In this paper, we study the…

Analysis of PDEs · Mathematics 2024-09-09 Habib Ammari , Xin Fu , Wenjia Jing

We discuss the novel electronic properties of graphene under an external periodic scalar or vector potential, and the analytical and numerical methods used to investigate them. When graphene is subjected to a one-dimensional periodic scalar…

Materials Science · Physics 2011-02-21 Cheol-Hwan Park , Liang Zheng Tan , Steven G. Louie

We examine the fracture mechanics of tearing graphene. We present a molecular dynamics simulation of the propagation of cracks in clamped, free-standing graphene as a function of the out-of-plane force. The geometry is motivated by…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Maria J. B. Moura , Michael Marder

We consider systems described by the two-dimensional Dirac equation where the Fermi velocity is inhomogeneous as a consequence of mechanical deformations. We show that the mechanical deformations can lead to deflection and focusing of the…

Mesoscale and Nanoscale Physics · Physics 2021-11-23 Alonso Contreras-Astorga , Vit Jakubsky , Alfredo Raya

A two-dimensional periodic array of scatterers has been introduced to a single layer of graphene in the presence of an external magnetic field perpendicular to the graphene layer. The eigenvalue equation for such a system has been solved…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Godfrey Gumbs , Andrii Iurov , Danhong Huang , Paula Fekete , Liubov Zhemchuzhna

The dynamics of charge particles described by Gaussian wave packet in monolayer graphene is studied analytically and numerically. We demonstrate that the shape of wave packet at arbitrary time depends on correlation between the initial…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 G. M. Maksimova , V. Ya. Demikhovskii , E. V. Frolova

In measurements of in-room radio channel responses an avalanche effect can be observed: earliest signal components, which appear well separated in delay, are followed by an avalanche of components arriving with increasing rate of…

Mathematical Physics · Physics 2015-05-28 Troels Pedersen , Gerhard Steinböck , Bernard H. Fleury

We study the charge carriers transport in an AA-stacked bilayer graphene modulated by a lateral one-dimensional multibarrier structure. We investigate the band structures of our system, that is made up of two shifted Dirac cones, for finite…

Mesoscale and Nanoscale Physics · Physics 2015-09-16 Ilham Redouani , Ahmed Jellal

The paper discusses the chiral tunnelling of charge carriers through double barrier structure in twisted graphene bilayer. The theoretical analysis investigates the transmission probability for various system parameters under both symmetric…

Mesoscale and Nanoscale Physics · Physics 2023-07-31 A. Bahlaoui , Y. Zahidi

We study longitudinal and transverse wave propagation in beams with elastic properties that are periodically varying in space and time. Spatiotemporal modulation of the elastic properties breaks mechanical reciprocity and induces one-way…

Materials Science · Physics 2016-09-21 Giuseppe Trainiti , Massimo Ruzzene

We use a scattering matrix approach to simulate the transmission through a hexagonal Photonic Crystal in the vicinity of the Dirac point. If the crystal is oriented so that the propagation direction perpendicular to the surface corresponds…

Optics · Physics 2008-07-23 Marcus Diem , Thomas Koschny , C. M. Soukoulis

We employ the tight-binding propagation method to study Klein tunneling and quantum interference in large graphene systems. With this efficient numerical scheme, we model the propagation of a wave packet through a potential barrier and…

Mesoscale and Nanoscale Physics · Physics 2015-01-27 R. Logemann , K. J. A. Reijnders , T. Tudorovskiy , M. I. Katsnelson , Shengjun Yuan

We present a theory of electron, electromagnetic, and elastic wave propagation in systems consisting of non-overlapping scatterers in a host medium. The theory provides a framework for a unified description of wave propagation in…

Condensed Matter · Physics 2009-11-07 A. Modinos , N. Stefanou , I. E. Psarobas , V. Yannopapas

This article presents experimental results on properties of waves propagating in an unbounded and a bounded photonic crystal consisting of metallic cylinders which are arranged in a triangular lattice. First, we present transmission…

Other Condensed Matter · Physics 2012-02-09 S. Bittner , B. Dietz , M. Miski-Oglu , A. Richter

We investigate the influence of the temporal variations of various medium parameters on the propagation of Dirac-type waves in materials where the quasiparticles are described by a generalized version of the pseudospin-1/2 Dirac equation.…

Mesoscale and Nanoscale Physics · Physics 2023-06-21 Seulong Kim , Kihong Kim

Photon-assisted electron transport in ballistic graphene is analyzed using scattering theory. We show that the presence of an ac signal (applied to a gate electrode in a region of the system) has interesting consequences on electron…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Trauzettel , Ya. M. Blanter , A. F. Morpurgo

In this paper anisotropic and dispersive wave propagation within linear strain-gradient elasticity is investigated. This analysis reveals significant features of this extended theory of continuum elasticity. First, and contrarily to…

Classical Physics · Physics 2016-03-02 Giuseppe Rosi , Nicolas Auffray

In current scientific and technological scenario, studies of transmittance of surface waves across structured interfaces have gained some wind amidst applications to metasurfaces, electronic edge-waves, crystal grain boundaries, etc. The…

Classical Physics · Physics 2023-09-18 Basant Lal Sharma

We probe the limits of nonlinear wave spreading in disordered chains which are known to localize linear waves. We particularly extend recent studies on the regimes of strong and weak chaos during subdiffusive spreading of wave packets [EPL…

Chaotic Dynamics · Physics 2011-07-18 J. D. Bodyfelt , T. V. Laptyeva , Ch. Skokos , D. O. Krimer , S. Flach

We study a transmission coefficient of graphene nanoribbons with a top gate which acts as an oblique barrier. Using a Green function method based on the Dirac-like equation, scattering among transverse modes due to the oblique barrier is…

Quantum Physics · Physics 2018-02-14 J. H. Oh , D. Ahn
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