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A two-dimensional (2D) dislocation continuum theory is being introduced. The present theory adds elastic rotation, dislocation density, and background stress to the classical energy density of elasticity. This theory contains four material…

介观与纳米尺度物理 · 物理学 2015-10-15 Markus Lazar

The conformal invariance of the low energy limit theory governing the electronic properties of graphene is explored. In particular, it is noted that the massless Dirac theory in point enjoys local Weyl symmetry, a very large symmetry.…

高能物理 - 理论 · 物理学 2011-04-20 Alfredo Iorio

The cores of edge dislocations, edge dislocation dipoles and edge dislocation loops in planar graphene have been studied by means of periodized discrete elasticity models. To build these models, we have found a way to discretize linear…

材料科学 · 物理学 2008-08-07 A. Carpio , L. L. Bonilla

This study presents a comprehensive mathematical model for Volterra defects and explores their relations using differential geometry on Riemann--Cartan manifolds. Following the standard Volterra process, we derived the Cartan moving frame,…

材料科学 · 物理学 2024-12-18 Shunsuke Kobayashi , Katsumi Takemasa , Ryuichi Tarumi

Friedel oscillation is a well-known wave phenomenon, which represents the oscillatory response of electron waves to imperfection. By utilizing the pseudospin-momentum locking in gapless graphene, two recent experiments demonstrate the…

介观与纳米尺度物理 · 物理学 2021-04-28 Shu-Hui Zhang , Jin Yang , Ding-Fu Shao , Zhenhua Wu , Wen Yang

We address the electronic structure and magnetic properties of vacancies and voids both in graphene and graphene ribbons. Using a mean field Hubbard model, we study the appearance of magnetic textures associated to removing a single atom…

介观与纳米尺度物理 · 物理学 2008-11-27 J. J. Palacios , J. Fernandez-Rossier , L. Brey

The link between changes in the material crystal structure and its mechanical, electronic, magnetic, and optical functionalities - known as the structure-property relationship - is the cornerstone of the contemporary materials science…

Graphene, dubbed as a two-dimensional material represents the topological concept of "surface" embedded in a three-dimensional space. This regard enables to employ existing theories/tools in topology to understand different…

介观与纳米尺度物理 · 物理学 2018-09-27 Hadi Arjmandi-Tash , Alexander Kloosterman , Gregory F. Schneider

It is shown that for monolayer graphene electrons are confined on a perfect two dimensional surface. The implications for the electronic properties of corrugated graphene are discussed in view of a derivation of the constrained relativistic…

材料科学 · 物理学 2015-05-18 Victor Atanasov , Avadh Saxena

Graphene's intrinsically corrugated and wrinkled topology fundamentally influences its electronic, mechanical, and chemical properties. Experimental techniques allow the manipulation of pristine graphene and the controlled production of…

材料科学 · 物理学 2025-09-09 Fabian L. Thiemann , Patrick Rowe , Andrea Zen , Erich A. Müller , Angelos Michaelides

The electronic structure in the vicinity of the 1-heptagonal and 1-pentagonal defects in the carbon graphene plane is investigated. Using a continuum gauge field-theory model the local density of states around the Fermi energy is calculated…

介观与纳米尺度物理 · 物理学 2011-12-06 J. Smotlacha , R. Pincak , M. Pudlak

We describe defects - dislocations and disclinations - in the framework of Riemann-Cartan geometry. Curvature and torsion tensors are interpreted as surface densities of Frank and Burgers vectors, respectively. Equations of nonlinear…

材料科学 · 物理学 2007-05-23 M. O. Katanaev

We investigate the dispersion relations of TE resonances in different graphene-dielectric structures. Previous work has shown that when a graphene layer is brought into contact with a dielectric material, a gap can appear in its electric…

光学 · 物理学 2016-05-04 Julia F. M. Werra , Francesco Intravaia , Kurt Busch

Electronic structures of graphene sheet with different defective patterns are investigated, based on the first principles calculations. We find that defective patterns can tune the electronic structures of the graphene significantly.…

介观与纳米尺度物理 · 物理学 2015-05-19 H. Y. He , Y. Zhang , B. C. Pan

We analyze elastic deformations of graphene sheets which lead to effective gauge fields acting on the charge carriers. Corrugations in the substrate induce stresses, which, in turn, can give rise to mechanical instabilities and the…

介观与纳米尺度物理 · 物理学 2015-05-13 F. Guinea , B. Horovitz , P. Le Doussal

The electronic properties of a material depend on the spatial freedom of the electron wavefunction. A well-known example is graphite, which is a conventional gapless semiconductor, while a single layer of it, graphene, exhibits extremely…

介观与纳米尺度物理 · 物理学 2026-01-28 Mohammadamir Bazrafshan , Thomas. D. Kühne

We study the graphene lattice with a curvature effect. The action depicting multilayers of graphene is portrayed in curved spacetime and effective Dirac equation scopes the curvature effect. The magnetic field is responsible for the…

介观与纳米尺度物理 · 物理学 2014-09-11 M. J. I. Khan , M. Kamran , S. Babar

In this communication we present together four distinct techniques for the study of electronic structure of solids : the tight-binding linear muffin-tin orbitals (TB-LMTO), the real space and augmented space recursions and the modified…

介观与纳米尺度物理 · 物理学 2021-04-12 Banasree Sadhukhan , Arabinda Nayak , Abhijit Mookerjee

Strain fields, dislocations and defects may be used to control electronic properties of graphene. By using advanced imaging techniques with high-resolution transmission electron microscopes, we have measured the strain and rotation fields…

介观与纳米尺度物理 · 物理学 2015-10-20 L. L. Bonilla , A. Carpio , C. Gong , J. H. Warner

Lattice deformations in graphene couple to the low-energy electronic degrees of freedom as effective scalar and gauge fields. Using molecular dynamics simulations, we show that the optical component of the displacement field, i.e., the…

介观与纳米尺度物理 · 物理学 2025-04-11 Christophe De Beule , Robin Smeyers , Wilson Nieto Luna , E. J. Mele , Lucian Covaci