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This article reviews the basic theoretical aspects of graphene, a one atom thick allotrope of carbon, with unusual two-dimensional Dirac-like electronic excitations. The Dirac electrons can be controlled by application of external electric…

Other Condensed Matter · Physics 2009-01-15 A. H. Castro Neto , F. Guinea , N. M. R. Peres , K. S. Novoselov , A. K. Geim

This paper provides a pedagogical introduction to recent developments in geometrical and topological band theory following the discovery of graphene and topological insulators. Amusingly, many of these developments have a connection to…

Mesoscale and Nanoscale Physics · Physics 2021-04-27 J. Cayssol , J. -N. Fuchs

Topological metal/semimetals (TMs) have emerged as a new frontier in the field of quantum materials. A few two-dimensional (2D) boron sheets have been suggested as Dirac materials, however, to date TMs made of three-dimensional (3D) boron…

Materials Science · Physics 2018-10-17 Yan Gao , Yuee Xie , Yuanping Chen , Jinxing Gu , Zhongfang Chen

Two-dimensional (2D) materials for their versatile band structures and strictly 2D nature have attracted considerable attention over the past decade. Graphene is a robust material for spintronics owing to its weak spin-orbit and hyperfine…

Mesoscale and Nanoscale Physics · Physics 2017-01-30 Kuei-Lin Chiu , Yang Xu

Ab initio calculations indicate that topological-defect networks in graphene display the full variety of single-particle electronic structures, including Dirac-fermion null-gap semiconductors, as well as metallic and semiconducting systems…

Mesoscale and Nanoscale Physics · Physics 2010-09-10 Joice da Silva-Araújo , H. Chacham , R. W. Nunes

Graphene is a new material that exhibits remarkable properties from both fundamental and applied issues. This is a 2D matter system whose physical and mechanical features have been approached by using tight binding model, first principle…

Strongly Correlated Electrons · Physics 2011-08-10 Lalla Btissam Drissi , El Hassan Saidi , Mosto Bousmina

We study alpha, beta, and gamma graphyne, a class of graphene allotropes with carbon triple bonds, using a first-principles density-functional method and tight-binding calculation. We find that graphyne has versatile Dirac cones and it is…

Mesoscale and Nanoscale Physics · Physics 2013-03-12 Bog G. Kim , Hyoung Joon Choi

First principles calculations, employed to address the properties of polycrystalline graphene, indicate that the electronic structure of tilt grain boundaries in this system displays a rather complex evolution towards graphene bulk, as the…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Joice da Silva Araujo , R. W. Nunes

We have performed an ab initio investigation of the electronic properties of the graphene sheet adsorbed by Ru adatoms (Ru/graphene). For a particular set of triangular arrays of Ru adatoms, we find the formation of four (spin-polarized)…

Mesoscale and Nanoscale Physics · Physics 2014-05-01 C. Mera Acosta , Matheus P. Lima , R. H. Miwa , Antonio J. R. da Silva , A. Fazzio

Topological semimetals, including Dirac semimetals, Weyl semimetals, and nodal line semimetals, receive enormous research interest due to their intrinsic topological nature and fascinating properties. In present work, with the help of…

Materials Science · Physics 2017-10-17 P. Zhou , Z. S. Ma , L. Z. Sun

Topology concepts have significantly deepened of our understanding in recent years of the electronic properties of one-dimensional (1D) nano structures such as the graphene nanoribbons. Controlling topological electronic properties of GNRs…

Materials Science · Physics 2021-02-03 Jingwei Jiang , Steven G. Louie

Angle-resolved photoemission and X-ray diffraction experiments show that multilayer epitaxial graphene grown on the SiC(000-1) surface is a new form of carbon that is composed of effectively isolated graphene sheets. The unique rotational…

Carbon allotropes such as diamond, nano-tube, Fullerene, and Graphene, have unique lattice symmetries of crystal lattice, but these are topologically trivial. We have proposed a topologically-nontrivial allotrope, named Hopfene, which has…

Mesoscale and Nanoscale Physics · Physics 2019-05-08 Shinichi Saito , Isao Tomita

Graphene is a promising material for the development of applications in nanoelectronic devices, but the lack of a band gap necessitates the search for ways to tune its electronic properties. In addition to doping, defects, and nanoribbons,…

The honeycomb lattice sets the basic arena for numerous ideas to implement electronic, photonic, or phononic topological bands in (meta-)materials. Novel opportunities to manipulate Dirac electrons in graphene through band engineering arise…

Mesoscale and Nanoscale Physics · Physics 2019-10-29 Tobias M. R. Wolf , Oded Zilberberg , Ivan Levkivkskyi , Gianni Blatter

Moir\'e materials host a wealth of intertwined correlated and topological states of matter, all arising from flat electronic bands with nontrivial quantum geometry. A prominent example is the family of alternating-twist magic-angle graphene…

Designing new 2D systems with tunable properties is an important subject for science and technology. Starting from graphene, we developed an algorithm to systematically generate 2D carbon crystals belonging to the family of graphdiynes…

Materials Science · Physics 2021-03-25 Patrick Serafini , Alberto Milani , Davide M. Proserpio , Carlo S. Casari

Topological semimetals recently stimulate intense research activities. Combining first-principles calculations and effective model analysis, we predict that CaTe is topological node-line semimetal when spin-orbit coupling (SOC) is ignored.…

Materials Science · Physics 2017-02-08 Yongping Du , Feng Tang , Di Wang , Li Sheng , Er-jun Kan , Chun-Gang Duan , Sergey Y. Savrasov , Xiangang Wan

Electronic properties of two-dimensional allotropes of carbon, such as graphene and its bilayer, multi-layer epitaxial graphene, few-layer Bernal-stacked graphene, as well as of three-dimensional bulk graphite are reviewed from the…

Mesoscale and Nanoscale Physics · Physics 2010-05-06 M. Orlita , M. Potemski

A type of line defect (LD) composed of alternate squares and octagons (4-8) as the basic unit is currently an experimentally available topological defect in graphene lattice, which brings some interesting modification to magnetic and…

Computational Physics · Physics 2019-09-10 Zhaoyong Guan , Shuang Ni , Shuanglin Hu