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Twisted moir\'e Dirac systems enable powerful miniband engineering but are largely fixed once the twist angle is set, whereas unidirectional (1D) electrostatic superlattices offer continuous control of Dirac anisotropy; yet robust…

Mesoscale and Nanoscale Physics · Physics 2026-03-03 Hanzhou Tan , Pilkyung Moon

In this pedagogical paper we review the discrete symmetries of the Dirac equation using elementary tools, but in a comparative order: the usual 3 + 1 dimensional case and the 2 + 1 dimensional case. Motivated by new applications of the 2d…

Other Condensed Matter · Physics 2015-03-25 Emerson Sadurní , Eladio Rivera-Mociños , Alfonso Rosado

The development of selective high precision chemical functionalization strategies for device fabrication, in conjunction with associated techniques for patterning graphene wafers with atomic accuracy would provide the necessary basis for a…

Materials Science · Physics 2014-09-23 Santanu Sarkar

Graphene superlattices (GSLs), formed by subjecting a monolayer graphene sheet to a periodic potential, can be used to engineer band structures and, from there, charge transport properties, but these are sensitive to the presence of…

Mesoscale and Nanoscale Physics · Physics 2012-03-07 Qifang Zhao , Jiangbin Gong , Cord A. Mueller

We develop a microscopic theory of the weak localization of two-dimensional massless Dirac fermions which is valid in the whole range of classically weak magnetic fields. The theory is applied to calculate magnetoresistance caused by the…

Mesoscale and Nanoscale Physics · Physics 2011-10-03 M. O. Nestoklon , N. S. Averkiev , S. A. Tarasenko

Graphene was the first material predicted to be a time-reversal-invariant topological insulator; however, the insulating gap is immeasurably small owing to the weakness of spin-orbit interactions in graphene. A recent experiment [1]…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Pouyan Ghaemi , Sarang Gopalakrishnan , Taylor L. Hughes

Graphene as well as more generally Dirac solids constitute two dimensional materials where the electronic flow is ultra relativistic. When a Dirac solid is deposited on a different substrate surface with roughness, a local random potential…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Marios Mattheakis , G. P. Tsironis , Efthimios Kaxiras

In this article we develop an effective medium model to characterize the electron wave propagation in graphene based nanostructures with an electrostatic and magnetic vector potentials imposed on their surface. We use a numerical algorithm…

Mesoscale and Nanoscale Physics · Physics 2023-02-22 David E. Fernandes

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

We investigate a generalized two-dimensional Weyl Hamiltonian, which may describe the low-energy properties of mechanically deformed graphene and of the organic compound alpha-(BEDT-TTF)_2I_3 under pressure. The associated dispersion has…

Mesoscale and Nanoscale Physics · Physics 2008-07-16 M. O. Goerbig , J. -N. Fuchs , G. Montambaux , F. Piechon

Exotic properties in single or few layers of van der Waals materials carry great promise for applications in nanoscaled electronics, optoelectronics and flexible devices. The established, distinct examples include extremely high mobility…

We discuss the novel electronic properties of graphene under an external periodic scalar or vector potential, and the analytical and numerical methods used to investigate them. When graphene is subjected to a one-dimensional periodic scalar…

Materials Science · Physics 2011-02-21 Cheol-Hwan Park , Liang Zheng Tan , Steven G. Louie

We predict from DFT based electronic structure calculations that a monolayer made up of Carbon and Arsenic atoms, with a chemical composition (CAs3) forms an energetically and dynamically stable system. The optimized geometry of the…

Mesoscale and Nanoscale Physics · Physics 2019-11-13 C. Kamal

The dynamics of low energy charge carriers in a graphene quantum dot subjected to a time-dependent local field is investigated numerically. In particular, we study a configuration where a Coulomb electric field is provided by an ion…

Mesoscale and Nanoscale Physics · Physics 2020-09-28 F. Fillion-Gourdeau , P. Levesque , S. MacLean

Metasurfaces are sub-wavelength patterned layers for controlling waves in physical systems. In optics, meta-surfaces are created by materials with different dielectric constants and are capable of unconventional functionalities. We develop…

Computational Physics · Physics 2024-08-21 Chen-Di Han , Li-Li Ye , Zin Lin , Vassilios Kovanis , Ying-Cheng Lai

Artifical superlattice (SL) potentials have been employed extensively for band structure engineering of two-dimensional (2D) Dirac electron gas in graphene. While such engineered electronic band structures can modify optical or plasmonic…

Mesoscale and Nanoscale Physics · Physics 2022-03-29 Minwoo Jung , Gennady Shvets

Cadmium arsenide (Cd3As2) - a time-honored and widely explored material in solid-state physics - has recently attracted considerable attention. This was triggered by a theoretical prediction concerning the presence of 3D symmetry-protected…

Mesoscale and Nanoscale Physics · Physics 2019-01-10 I. Crassee , R. Sankar , W. -L. Lee , A. Akrap , M. Orlita

Graphene is famous for being a host of 2D Dirac fermions. However, spin-orbit coupling introduces a small gap, so that graphene is formally a quantum spin hall insulator. Here we present symmetry-protected 2D Dirac semimetals, which feature…

Materials Science · Physics 2015-09-23 Steve M. Young , Charles L. Kane

The ultrafast dynamics of excited carriers in graphene is closely linked to the Dirac spectrum and plays a central role for many electronic and optoelectronic applications. Harvesting energy from excited electron-hole pairs, for instance,…

Low-energy single-electron dynamics in graphene monolayers and similar nanostructures is described by the Dirac model, being a 2+1 dimensional version of massless QED with the speed of light replaced by the Fermi velocity v_{F}=c/300.…

Mesoscale and Nanoscale Physics · Physics 2017-04-18 S. P. Gavrilov , D. M. Gitman