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We show that if the solutions to the (2+1)-dimensional massless Dirac equation for a given 1D potential are known, then they can be used to obtain the eigenvalues and eigenfunctions for the same potential, orientated at an arbitrary angle,…

Mesoscale and Nanoscale Physics · Physics 2023-07-07 R. A. Ng , A. Wild , M. E. Portnoi , R. R. Hartmann

Single layers of hexagonal two-dimensional nanostructures such as graphene, silicene, and germanene exhibit large carrier Fermi velocities and, consequently, large light-matter coupling strength making these materials promising elements for…

Mesoscale and Nanoscale Physics · Physics 2020-10-21 H. K. Avetissian , G. F. Mkrtchian , K. G. Batrakov , S. A. Maksimenko

Inspired by the great development of graphene, more and more works have been conducted to seek new two-dimensional (2D) materials with Dirac cones. Although 2D Dirac materials possess many novel properties and physics, they are rare…

Mesoscale and Nanoscale Physics · Physics 2015-04-15 Jinying Wang , Shibin Deng , Zhongfan Liu , Zhirong Liu

Graphene, Silicene, $\mathrm{MoS}_2$ and other similar two-dimensional structures have unusual electronic properties that lend themselves to exotic device applications. These properties emanate from the fact that the electrons are endowed…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Sushanta Dattagupta , Manvendra Singh

The unconventional properties of graphene, with a massless Dirac band dispersion and large coherence properties, have raised a large interest for applications in nanoelectronics. In this work, we emphasize that graphene two dimensional…

Mesoscale and Nanoscale Physics · Physics 2008-08-27 Pierre Darancet , Valerio Olevano , Didier Mayou

Research on graphene and other two-dimensional (2D) materials, such as silicene, germanene, phosphorene, hexagonal boron nitride (h-BN), graphitic carbon nitride (g-C3N4), graphitic zinc oxide (g-ZnO) and molybdenum disulphide (MoS2), has…

Materials Science · Physics 2016-03-03 Wei Hu , Jinlong Yang

Novel two-dimensional (2D) atomically flat materials, such as graphene and transition-metal dichalcogenides, exhibit unconventional Dirac electronic spectra. We propose to effectively engineer their interactions with cold atoms in…

We investigate the electromechanical coupling in 2d materials. For non-Bravais lattices, we find important corrections to the standard macroscopic strain - microscopic atomic-displacement theory. We put forward a general and systematic…

Mesoscale and Nanoscale Physics · Physics 2016-02-03 Daniel Midtvedt , Caio H. Lewenkopf , Alexander Croy

The graphene is a native two-dimensional crystal material consisting of a single sheet of carbon atoms. In this unique one-atom-thick material, the electron transport is ballistic and is described by a quantum relativistic-like Dirac…

Quantum Physics · Physics 2007-05-23 Daniela Dragoman , Mircea Dragoman

The emerging two-dimensional (2D) materials exhibit a wide range of electronic properties, ranging from insulating hexagonal boron nitride, semiconducting transition metal dichalcogenides such as molybdenum disulfide, to semi-metallic…

Mesoscale and Nanoscale Physics · Physics 2014-12-01 Fengnian Xia , Han Wang , Di Xiao , Madan Dubey , Ashwin Ramasubramaniam

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

Exact analytic solutions for an electron in graphene interacting with external complex magnetic fields are found. The eigenvalue problem for the non-hermitian Dirac-Weyl Hamiltonian leads to a pair of intertwined Schr{\"o}dinger equations,…

Mathematical Physics · Physics 2022-03-14 DJ Fernández , JD García-Muñoz

The response of Dirac fermions to a Coulomb potential is predicted to differ significantly from the behavior of non-relativistic electrons seen in traditional atomic and impurity systems. Surprisingly, many key theoretical predictions for…

Mesoscale and Nanoscale Physics · Physics 2013-05-02 Yang Wang , Victor W. Brar , Andrey V. Shytov , Qiong Wu , William Regan , Hsin-Zon Tsai , Alex Zettl , Leonid S. Levitov , Michael F. Crommie

We provide an updated study of some electronic properties of graphene nanoscrolls, exploiting a related curved space Dirac equation for the charge carriers. To this end, we consider an explicit parametrization in cylindrical coordinates,…

High Energy Physics - Theory · Physics 2022-05-19 Antonio Gallerati

The paper presents the author view on spin-rooted properties of graphene supported by numerous experimental and calculation evidences. Dirac fermions of crystalline graphene and local spins of graphene molecules are suggested to meet a…

Materials Science · Physics 2016-12-28 Elena F. Sheka

The end of conventional Dennard scaling and the widening gap between memory bandwidth and arithmetic throughput have made the von Neumann partition a structural bottleneck rather than a transient one. Two-dimensional (2D) materials, with…

Hardware Architecture · Computer Science 2026-05-12 Yaser Banad

Graphene, as a promising material of post-silicon electronics, opens a new paradigm for the novel electronic properties and device applications. On the other hand, the 2D feature of graphene makes it technically challenging to be integrated…

Hybrid two-dimensional (2D) materials have attracted increasing interest as platforms for tailoring electronic properties through interfacial design. Very recently, a novel hybrid 2D material termed glaphene, which combines monolayers of 2D…

The recent discovery of methods to isolate graphene, a one-atom-thick layer of crystalline carbon, has raised the possibility of a new class of nano-electronics devices based on the extraordinary electrical transport and unusual physical…

Mesoscale and Nanoscale Physics · Physics 2008-10-02 Xu Du , Ivan Skachko , Anthony Barker , Eva Y. Andrei

This work analyzes anisotropic Dirac materials, such as graphene and borophene, under inhomogeneous electric and magnetic fields with position-dependent profiles. Exact solutions of the Dirac--Weyl equation are obtained for singular and…

Mesoscale and Nanoscale Physics · Physics 2025-11-11 Julio Armando Mojica Zárate
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