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Massless Dirac particles on the helicoid are theoretically investigated. With its possible application being helical graphene, we explore how the peculiarities of Dirac particles appear on the curved, screw-symmetric surface. The zweibein…

Mesoscale and Nanoscale Physics · Physics 2015-11-25 Masataka Watanabe , Hisato Komatsu , Naoto Tsuji , Hideo Aoki

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

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

We reexamine the electronic structure of graphene on SiC substrate by angle-resolved photoemission spectroscopy. We directly observed multiply cloning of Dirac cone, in addition to ones previously attributed to reconstruction. The…

Materials Science · Physics 2022-03-21 C. L. Wu , Q. Wan , C. Peng , S. K. Mo , R. Z. Li , K. M. Zhao , Y. P. Guo , C. D. Zhang , N. Xu

We explore the gapped graphene structure in the two-dimensional plane in the presence of the Rosen-Morse potential and an external uniform magnetic field. In order to describe the corresponding structure, we consider the propagation of…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 A. Kalani , Alireza Amani , M. A. Ramzanpour

A number of interesting properties of graphene and graphite are postulated to derive from the peculiar bandstructure of graphene. This bandstructure consists of conical electron and hole pockets that meet at a single point in momentum (k)…

Strongly Correlated Electrons · Physics 2007-05-23 Aaron Bostwick , Taisuke Ohta , Thomas Seyller , K. Horn , Eli Rotenberg

It has been recently demonstrated experimentally that graphene, or single-layer carbon, is a gapless semiconductor with massless Dirac energy spectrum. A finite conductivity per channel of order of $e^{2}/h$ in the limit of zero temperature…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. I. Katsnelson

Electron-electron interactions in a Weyl semimetal are rigorously investigated in a lattice model by non perturbative methods. The absence of quantum phase transitions is proved for interactions not too large and short ranged. The…

Strongly Correlated Electrons · Physics 2015-06-17 Vieri Mastropietro

Electrons in graphene behave like Dirac fermions, permitting phenomena from high energy physics to be studied in a solid state setting. A key question is whether or not these Fermions are critically influenced by Coulomb correlations. We…

Strongly Correlated Electrons · Physics 2015-05-20 James P. Reed , Bruno Uchoa , Young Il Joe , Yu Gan , Diego Casa , Eduardo Fradkin , Peter Abbamonte

We study structural and electronic properties of graphene grown on SiC substrate using scanning tunneling microscope (STM), spot-profile-analysis low energy electron diffraction (SPA-LEED) and angle resolved photoemission spectroscopy…

Mesoscale and Nanoscale Physics · Physics 2017-07-19 Lunan Huang , Yun Wu , M. T. Hershberger , Daixiang Mou , Ben Schrunk , Michael C. Tringides , Myron Hupalo , Adam Kaminski

Graphene is a monolayer graphitic film in which electrons behave like two-dimensional Dirac fermions without mass. Its study has attracted a wide interest in the domain of condensed matter physics. In particular, it represents an ideal…

Mathematical Physics · Physics 2025-05-16 William Borrelli , Umberto Morellini

The electronic properties of one-dimensional graphene superlattices strongly depend on the atomic size and orientation of the 1D external periodic potential. Using a tight-binding approach, we show that the armchair and zigzag directions in…

We study theoretically "graphene-like" plasmonic metamaterials constituted by two-dimensional arrays of metallic nanoparticles, including perfect honeycomb structures with and without inversion symmetry, as well as generic bipartite…

Mesoscale and Nanoscale Physics · Physics 2015-02-16 Thomas Jebb Sturges , Claire Woollacott , Guillaume Weick , Eros Mariani

Dirac points in two-dimensional (2D) materials have been a fascinating subject of research, with graphene as the most prominent example. However, the Dirac points in existing 2D materials, including graphene, are vulnerable against…

Materials Science · Physics 2017-10-13 Shan Guan , Ying Liu , Zhi-Ming Yu , Shan-Shan Wang , Yugui Yao , Shengyuan A. Yang

Electrons in isolated graphene layers are a two-dimensional gas of massless Dirac Fermions. In realistic devices, however, the electronic properties are modified by elastic deformations, interlayer coupling and substrate interaction. Here…

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

We investigate the emergence of extra Dirac points in the electronic structure of a periodically spaced barrier system, i.e., a superlattice, on single-layer graphene, using a Dirac-type Hamiltonian. Using square barriers allows us to find…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 M. Barbier , P. Vasilopoulos , F. M. Peeters

Electrons in solids are characterized by the energy bands, which indicate that electrons are considered to be "elementary particles" with specific effective masses and g-factors reflecting features of each solid. There are cases where these…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Hidetoshi Fukuyama , Akito Kobayashi , Yoshikazu Suzumura

This review aims at a theoretical discussion of Dirac points in two-dimensional systems. Whereas Dirac points and Dirac fermions are prominent low-energy electrons in graphene (two-dimensional graphite), research on Dirac fermions in…

Mesoscale and Nanoscale Physics · Physics 2014-10-16 Mark O. Goerbig , Gilles Montambaux

It is highly desirable to modify and improve the Dirac electron system of graphene for novel electronic properties and promising applications. For this purpose, we study 2D heterostructures consisting of graphene and monolayer TMDs by means…

Mesoscale and Nanoscale Physics · Physics 2025-07-11 Bo-Wen Yu , Bang-Gui Liu