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In this book chapter, we introduce different schemes to create quantum states of matter in engineered graphene nanoribbons. We will focus on the emergence of controllable magnetic interactions, topological quantum magnets, and the interplay…

Mesoscale and Nanoscale Physics · Physics 2019-11-20 J. L. Lado , R. Ortiz , J. Fernandez-Rossier

Confinement of electrons in graphene to make devices has proven to be a challenging task. Electrostatic methods fail because of Klein tunneling, while etching into nanoribbons requires extreme control of edge terminations, and bottom-up…

Mesoscale and Nanoscale Physics · Physics 2018-04-03 Y. Wu , D. Zhai , C. Pan , B. Cheng , T. Taniguchi , K. Watanabe , N. Sandler , M. Bockrath

We propose a new method to use gapped graphene as barrier to confine electrons in gapless graphene and form a good quantum dot, which can be realized on an oxygen-terminated $SiO_{2}$ substrate partly H-passivated. In particular, we use…

Mesoscale and Nanoscale Physics · Physics 2009-10-27 Qiong Ma , Zhi-Rong Lin , Tao Tu , Guang-Can Guo , Guo-Ping Guo

Graphene nanoribbons display an imperfectly understood transport gap. We measure transport through nanoribbon devices of several lengths. In nanoribbons of length greater than or equal to 250 nm we observe transport through multiple quantum…

Mesoscale and Nanoscale Physics · Physics 2009-01-02 Kathryn Todd , Hung-Tao Chou , Sami Amasha , David Goldhaber-Gordon

The quantum Hall (QH) effect, a topologically non-trivial quantum phase, expanded and brought into focus the concept of topological order in physics. The topologically protected quantum Hall edge states are of crucial importance to the QH…

We numerically investigate quantum rings in graphene and find that their electronic properties may be strongly influenced by the geometry, the edge symmetries and the structure of the corners. Energy spectra are calculated for different…

Mesoscale and Nanoscale Physics · Physics 2009-03-16 D. A. Bahamon , A. L. C. Pereira , P. A. Schulz

We propose a scalable scheme to implement quantum computation in graphene nanoribbon. It is shown that electron or hole can be naturally localized in each zigzag region for a graphene nanoribbon with a sequence of Z-shaped structure without…

Quantum Physics · Physics 2015-05-13 Guo-Ping Guo , Zhi-Rong Lin , Xiao-Peng Li , Tao Tu , Guang-Can Guo

Fabrication of graphene structures has triggered vast research efforts focused on the properties of two-dimensional systems with massless Dirac fermions. Nevertheless, further progress in exploring this quantum electrodynamics system in…

Mesoscale and Nanoscale Physics · Physics 2009-10-10 P. Neugebauer , M. Orlita , C. Faugeras , A. -L. Barra , M. Potemski

Graphene nanoribbons (GNRs) are a family of one-dimensional (1D) materials carved from graphene lattice. GNRs possess high mobility and current carrying capability, sizable bandgap, and versatile electronic properties tailored by the…

Mesoscale and Nanoscale Physics · Physics 2021-10-08 Haomin Wang , Hui Shan Wang , Chuanxu Ma , Lingxiu Chen , Chengxin Jiang , Chen Chen , Xiaoming Xie , An-Ping Li , Xinran Wang

We calculate, within a self-consistent Hartree-Fock approximation, the local density of states for different electron crystals in graphene subject to a strong magnetic field. We investigate both the Wigner crystal and bubble crystals with…

Mesoscale and Nanoscale Physics · Physics 2009-12-01 O. Poplavskyy , M. O. Goerbig , C. Morais Smith

The electronic energy gap and total dipole moment of chemically functionalized hexagonal and triangular graphene quantum dots are investigated by the density functional theory. It has been found that the energy gap can be efficiently tuned…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 Hazem Abdelsalam , Hanan Elhaes , Medhat A. Ibrahim

Edge states are ubiquitous for many condensed matter systems with multicomponent wave functions. For example, edge states play a crucial role in transport in zigzag graphene nanoribbons. Here, we report microscopic calculations of quantum…

Mesoscale and Nanoscale Physics · Physics 2014-12-17 Thomas Christensen , Weihua Wang , Antti-Pekka Jauho , Martijn Wubs , N. Asger Mortensen

We analyze the bound-state spectra of mass-profile quantum dots in graphene, a system at current experimental reach. Homogeneous perpendicular magnetic fields are also considered which result in breaking the valley degeneracy. The spectra…

Mesoscale and Nanoscale Physics · Physics 2015-04-24 A. Gutiérrez-Rubio , T. Stauber

The practical realization of nano-scale electronics faces two major challenges: the precise engineering of the building blocks and their assembly into functional circuits. In spite of the exceptional electronic properties of carbon…

Mesoscale and Nanoscale Physics · Physics 2008-07-09 Levente Tapaszto , Gergely Dobrik , Philippe Lambin , Laszlo P Biro

We determine the stability, the geometry, the electronic and magnetic structure of hydrogen-terminated graphene-nanoribbons edges as a function of the hydrogen content of the environment by means of density functional theory.…

Materials Science · Physics 2008-08-28 Tobias Wassmann , Ari P. Seitsonen , A. Marco Saitta , Michele Lazzeri , Francesco Mauri

A few years ago, by means of first-principles calculations, Enyashin et al.(2011) proposed several novel monolayers of carbon containing rings other than hexagons. One of those monolayers containing tetragons and octagons was investigated…

Materials Science · Physics 2025-06-26 Arifa Nazir , Alok Shukla

We have computationally investigated absorption spectra of a specifically configured set of graphene-based molecules involving (1) a sp2 bare graphene sheet; (2) framed graphene sheets containing different chemical addends terminating…

Materials Science · Physics 2017-02-24 Mikhail F. Budyka , Elena F. Sheka , Nadezhda A. Popova

Since electrons in a ballistic regime perceive a carbon nanotube or a graphene layer structure as a continuous medium, we can use the study of the quantum dynamics of one electron constrained to a curve or surface to obtain a qualitative…

Mesoscale and Nanoscale Physics · Physics 2021-05-24 J. D. M. de Lima , E. Gomes , F. F. da Silva Filho , F. Moraes , R. Teixeira

The atomic structure, stacking sequences and electronic structure of folded graphene nanoribbons (FGNRs) are investigated by first-principles calculations. It reveals that the common configurations of all FGNRs are racket-like structures…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Wenjin Yin , Yuee Xie , Li-Min Liu , Yuanping Chen , Ru-Zhi Wang , Xiao-Lin Wei , Leo Lau

Several experiments have recently found room-temperature ferromagnetism in graphite-like carbon based materials. This paper offers a model explaining such ferromagnetism by using an asymmetric nano-graphene. Our first typical model is…

Mesoscale and Nanoscale Physics · Physics 2011-01-28 Norio Ota , Narjes Gorjizadeh , Yoshiyuki Kawazoe
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