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In an ideal graphene sheet charge carriers behave as two-dimensional (2D) Dirac fermions governed by the quantum mechanics of massless relativistic particles. This has been confirmed by the discovery of a half-integer quantum Hall effect in…

Materials Science · Physics 2015-05-13 Yuanbo Zhang , Victor W. Brar , Caglar Girit , Alex Zettl , Michael F. Crommie

A class of graphene wound into three-dimensional periodic curved surfaces ("graphitic zeolites") is proposed and their electronic structures are obtained to explore how the massless Dirac fermions behave on periodic surfaces. We find in the…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 Mikito Koshino , Hideo Aoki

The Schr\"odinger equation dictates that the propagation of nearly free electrons through a weak periodic potential results in the opening of band gaps near points of the reciprocal lattice known as Brillouin zone boundaries. However, in…

Non-symmorphic symmetries protect Dirac nodal lines and cones in lattice systems. Here, we investigate the spectral properties of a two-dimensional lattice belonging to a non-symmorphic group. Specifically, we look at the herringbone…

Mesoscale and Nanoscale Physics · Physics 2023-03-09 M. A. J. Herrera , D. Bercioux

After having derived boundary conditions for dressed-state electrons in a dice lattice, we investigate the electron tunneling through a square electrostatic potential barrier in both dice lattices and graphene under a linearly-polarized…

Mesoscale and Nanoscale Physics · Physics 2020-06-16 Andrii Iurov , Liubov Zhemchuzhna , Paula Fekete , Godfrey Gumbs , Danhong Huang

We investigate spin and charge transport in both single and bilayer graphene non-local spin-valve devices. Similar to previous studies on bilayer graphene, we observe an inverse dependence of the spin lifetime on the carrier mobility in our…

Mesoscale and Nanoscale Physics · Physics 2013-10-24 F. Volmer , M. Drögeler , E. Maynicke , N. von den Driesch , M. L. Boschen , G. Güntherodt , B. Beschoten

We employ dual-gated 30{\deg}-twisted bilayer graphene to demonstrate simultaneous ultra-high mobility and conductivity (up to 40 mS at room temperature), unattainable in a single-layer of graphene. We find quantitative agreement with a…

Mesoscale and Nanoscale Physics · Physics 2022-01-12 Giulia Piccinini , Vaidotas Mišeikis , Kenji Watanabe , Takashi Taniguchi , Camilla Coletti , Sergio Pezzini

The electronic structure of a graphene superlattice composed by two periodic regions with different Fermi velocity, energy gap and electrostatic potential is investigated by using an effective Dirac-like Hamiltonian. It must be expected…

Materials Science · Physics 2015-04-07 Jonas R. F. Lima

We explore the rotational degree of freedom between graphene layers via the simple prototype of the graphene twist bilayer, i.e., two layers rotated by some angle $\theta$. It is shown that, due to the weak interaction between graphene…

Materials Science · Physics 2015-03-13 S. Shallcross , S. Sharma , E. Kandelaki , O. A. Pankratov

Strain qualitatively changes the low-energy band structure of bilayer graphene, leading to the appearance of a pair of low-energy Dirac cones near each corner of the Brillouin zone, and a Lifshitz transition, (a saddle point in the…

Mesoscale and Nanoscale Physics · Physics 2012-05-14 Diana A. Gradinar , Henning Schomerus , Vladimir I. Fal'ko

The mode-dependent transmission of relativistic ballistic massless Dirac fermion through a graphene based double barrier structure is being investigated for various barrier parameters. We compare our results with already published work and…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Ahmed Jellal , El Bouazzaoui Choubabi , Hocine Bahlouli , Abdullah Aljaafari

We review the fabrication and key transport properties of graphene double layers, consisting of two graphene monolayers placed in close proximity, independently contacted, and separated by an ultra-thin dielectric. We outline a simple band…

Mesoscale and Nanoscale Physics · Physics 2012-06-14 Seyoung Kim , Emanuel Tutuc

Rotational misalignment or twisting of two mono-layers of graphene strongly influences its electronic properties. Structurally, twisting leads to large periodic supercell structures, which in turn can support intriguing strongly correlated…

Motivated by recent experiments in weakly hybridized small-angle twisted bilayer graphene, we investigate how valley imbalance affects the viscosity of two-dimensional Dirac fluids. We show that shifting the two low-energy Dirac cones…

Mesoscale and Nanoscale Physics · Physics 2026-05-13 Alexey Ermakov , Alessandro Principi

We study the effect of uniaxial strain on the electronic band structure of gapped graphene. We consider two types of gapped graphene, one which breaks the symmetry between the two triangular sublattices (staggered model), and another which…

Mesoscale and Nanoscale Physics · Physics 2010-05-11 M. Farjam , H. Rafii-Tabar

As the Fermi level and band structure of two-dimensional materials are readily tunable, they constitute an ideal platform for exploring Lifshitz transition, a change in the topology of a material's Fermi surface. Using tetralayer graphene…

Mesoscale and Nanoscale Physics · Physics 2018-03-09 Yanmeng Shi , Shi Che , Kuan Zhou , Supeng Ge , Ziqi Pi , Timothy Espiritu , Takashi Taniguchi , Kenji Watanabe , Yafis Barlas , Roger Lake , Chun Ning Lau

Topological insulators are distinguished from normal insulators by their bulk insulating gap and odd number of surface states connecting the inverted conduction and valence bands and showing Dirac cones at the time-reversal invariant points…

Materials Science · Physics 2015-05-18 Hosub Jin , Jung-Hwan Song , Arthur J. Freeman

The carrier mobility of a graphene double-layer system is evaluated on the basis of the Boltzmann transport theory. In this system, two graphene layers are separated by a dielectric barrier layer. We focus on the cases in which there is…

Mesoscale and Nanoscale Physics · Physics 2014-12-08 Kazuhiro Hosono , Katsunori Wakabayashi

Recently a new high-mobility Dirac material, trilayer graphene, was realized experimentally. The band structure of ABA-stacked trilayer graphene consists of a monolayer-like and a bilayer-like pairs of bands. Here we study electronic…

Mesoscale and Nanoscale Physics · Physics 2013-04-08 Maksym Serbyn , Dmitry A. Abanin

We demonstrate theoretically that the interaction of electrons in gapped Dirac materials (gapped graphene and transition-metal dichalchogenide monolayers) with a strong off-resonant electromagnetic field (dressing field) substantially…

Mesoscale and Nanoscale Physics · Physics 2017-03-02 O. V. Kibis , K. Dini , I. V. Iorsh , I. A. Shelykh
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