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Structural distortions in nano-materials can induce dramatic changes in their electronic properties. This situation is well manifested in graphene, a two-dimensional honeycomb structure of carbon atoms with only one atomic layer thickness.…

Mesoscale and Nanoscale Physics · Physics 2016-08-17 N. -C. Yeh , C. -C. Hsu , M. L. Teague , J. -Q. Wang , D. A. Boyd , C. -C. Chen

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

Charge carriers of graphene show neutrino-like linear energy dispersions as well as chiral behavior near the Dirac point. Here we report highly unusual and unexpected behaviors of these carriers in applied external periodic potentials,…

Materials Science · Physics 2008-03-04 Cheol-Hwan Park , Li Yang , Young-Woo Son , Marvin L. Cohen , Steven G. Louie

The effect of charge-carrier screening on the transport properties of a neutral graphene sheet is studied by directly probing its electronic structure. We find that the Fermi velocity, Dirac point velocity, and overall distortion of the…

Mesoscale and Nanoscale Physics · Physics 2013-04-23 David A. Siegel , William Regan , Alexei V. Fedorov , A. Zettl , Alessandra Lanzara

Motivated by experiments confirming that the optical transparency of graphene is defined through the fine structure constant and that it could be fully explained within the relativistic Dirac fermions in 2D picture, in this article we…

Strongly Correlated Electrons · Physics 2018-11-28 Horacio Falomir , Marcelo Loewe , Enrique Muñoz , Alfredo Raya

We have realized a Dirac fermion reflector in graphene by controlling the ballistic carrier trajectory in a sawtooth-shaped npn junction. When the carrier density in the inner p-region is much larger than that in the outer n-regions, the…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 Sei Morikawa , Quentin Wilmart , Satoru Masubuchi , Kenji Watanabe , Takashi Taniguchi , Bernard Plaçais , Tomoki Machida

A sample of quasi-two-dimensional graphite (QTDG) whose magnetic properties are described within the Dirac fermion model is investigated by the nuclear magnetic resonance (NMR) and scanning tunneling microscopy (STM) techniques. The broad…

Materials Science · Physics 2014-09-16 E. G. Nikolaev , A. S. Kotosonov , E. A. Shalashugina , A. M. Troyanovskii , and V. I. Tsebro

Extending the Dirac physics of two-dimensional (2D) graphene into three dimensions (3D) carbon allotropes with higher-dimensional band degeneracies remains a central challenge in topological materials science. Here, we propose a general…

Materials Science · Physics 2026-05-22 Shuaihua Zhang , Silei Guo , Jingxiang Liu , Baoxin Hu , Yanling Wu , Jun Li

The low energy continuum limit of graphene is effectively known to be modeled using Dirac equation in (2+1) dimensions. We consider the possibility of using modulated high frequency periodic driving of a two-dimension system (optical…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 Tridev Mishra , Tapomoy Guha Sarkar , Jayendra N. Bandyopadhyay

We study the motion of charge carriers in curved Dirac materials, in the presence of a local Fermi velocity. An explicit parameterization of the latter emerging quantity for a nanoscroll cylindrical geometry is also provided, together with…

Mesoscale and Nanoscale Physics · Physics 2023-11-27 B. Bagchi , A. Gallerati , R. Ghosh

We performed low temperature scanning tunneling microscopy (STM) and spectroscopy (STS) studies on the electronic properties of (R3xR3)R30{\deg} phase of silicene on Ag(111) surface. We found the existence of Dirac Fermion chirality through…

Mesoscale and Nanoscale Physics · Physics 2013-10-08 Baojie Feng , Hui Li , Cheng-Cheng Liu , Tingna Shao , Peng Cheng , Yugui Yao , Sheng Meng , Lan Chen , Kehui Wu

We present an in-depth analysis of the electronic and vibrational band structure of uniaxially strained graphene by ab-initio calculations. Depending on the direction and amount of strain, the Fermi crossing moves away from the $K$-point.…

Mesoscale and Nanoscale Physics · Physics 2016-09-08 Marcel Mohr , Konstantinos Papagelis , Janina Maultzsch , Christian Thomsen

The optical conductivity of graphite in quantizing magnetic fields is analytically evaluated for frequencies in the range of 10--300 meV, where the electron relaxation processes can be neglected and the low-energy excitations at the "Dirac…

Materials Science · Physics 2015-05-20 L. A. Falkovsky

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…

Materials Science · Physics 2015-05-18 Victor Atanasov , Avadh Saxena

Lateral superlattices have attracted major interest as this may allow one to modify spectra of two dimensional electron systems and, ultimately, create materials with tailored electronic properties. Previously, it proved difficult to…

Graphene is intrinsically non-flat and corrugates randomly. Since the corrugating physics of atomically-thin graphene is strongly tied to its electronics properties, randomly corrugating morphology of graphene poses significant challenge to…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 Teng Li

Using nanoparticles to impart extrinsic rippling in graphene is a relatively new method to induce strain and to tailor the properties of graphene. Here we study the structure and elastic properties of graphene grown by chemical vapour…

Mesoscale and Nanoscale Physics · Physics 2016-09-14 Zoltán Osváth , Eszter Gergely-Fülöp , András Deák , Chanyong Hwang , László P. Biró

Among their amazing properties, graphene and related low-dimensional materials show quantized charge-density fluctuations--known as plasmons--when exposed to photons or electrons of suitable energies. Graphene nanoribbons offer an enhanced…

Strongly Correlated Electrons · Physics 2016-09-14 Cristian Vacacela Gomes , Michele Pisarra , Mario Gravina , Jose M. Pitarke , Antonello Sindona

Flexoelectricity, polarization induced by strain gradients, is especially pronounced in two-dimensional (2D) materials due to their mechanical flexibility and sensitivity to mechanical deformation. In nanostructures with sub-nm curvature,…

We develop a long wavelength approximation in order to describe the low-energy states of carbon nanotubes in a transverse magnetic field. We show that, in the limit where the square of the magnetic length $l = \sqrt{\hbar c /e B}$ is much…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 E. Perfetto , J. Gonzalez , F. Guinea , S. Bellucci , P. Onorato