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Related papers: Magnetic Edge States in Graphene

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This work was firstly published in 1986 \cite{we}. No real two-dimensional object with the zero-gap quasi-relativistic spectrum was known in that time. Such an object is well known now: this is graphene. That is why we decided to present it…

Mesoscale and Nanoscale Physics · Physics 2009-06-23 S. A. Ktitorov , Yu. V. Petrov

Massless Dirac fermions in graphene provide unprecedented opportunities to realize the Klein paradox, which is one of the most exotic and striking properties of relativistic particles. In the seminal theoretical work [Katsnelson et al.,…

Mesoscale and Nanoscale Physics · Physics 2017-05-17 Ke-Ke Bai , Jia-Bin Qiao , Hua Jiang , Haiwen Liu , Lin He

We explore the gapped graphene structure in the two-dimensional plane in the presence of the Rosen-Morse potential and an external uniform magnetic field. In order to describe the corresponding structure, we consider the propagation of…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 A. Kalani , Alireza Amani , M. A. Ramzanpour

In this work we analyze infinite graphene nanoribbons subjected to non-uniform magnetic fields that produce topological domain walls in the quantum Hall regime. We show how the proximity between edge states from neighboring domains modifies…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Ricardo Y. Díaz-Bonifaz , Carlos Ramírez

An interesting property of zigzag graphene nanoribbons is the presence of edge states which are extended along its borders but localized in the transverse direction. We show that because of this property, electron transport through an…

Mesoscale and Nanoscale Physics · Physics 2009-09-02 Gonzalo Usaj

The isolation of graphene has triggered an avalanche of studies into the spin-dependent physical properties of this material, as well as graphene-based spintronic devices. Here we review the experimental and theoretical state-of-art…

Mesoscale and Nanoscale Physics · Physics 2015-03-11 Wei Han , Roland K. Kawakami , Martin Gmitra , Jaroslav Fabian

The magnetic properties of disordered graphene and irradiated graphite are systematically studied using a combination of mean-field Hubbard model and first-principles calculations. By considering large-scale disordered models of graphene, I…

Materials Science · Physics 2008-07-17 Oleg V. Yazyev

Graphene placed in a perpendicular magnetic field supports optical modes known as magnetoplasmons which are transversally confined to the graphene layer. Unlike ordinary graphene plasmons, these magnetoplasmonic surface waves are…

Mesoscale and Nanoscale Physics · Physics 2025-02-21 Samyobrata Mukherjee , Viktoriia Savchuk , Jeffery W. Allen , Monica S. Allen , Gennady Shvets

This article reviews the basic theoretical aspects of graphene, a one atom thick allotrope of carbon, with unusual two-dimensional Dirac-like electronic excitations. The Dirac electrons can be controlled by application of external electric…

Other Condensed Matter · Physics 2009-01-15 A. H. Castro Neto , F. Guinea , N. M. R. Peres , K. S. Novoselov , A. K. Geim

The mechanical and electronic properties of a graphene membrane placed on top of a superlattice of nanopillars are investigated. We use molecular dynamics (MD) simulations to access the deformation fields and the tight-binding approaches to…

Mesoscale and Nanoscale Physics · Physics 2019-02-20 S. P. Milovanovic , L. Covaci , F. M. Peeters

Two-dimensional atomic crystals can radically change their properties in response to external influences such as substrate orientation or strain, resulting in essentially new materials in terms of the electronic structure. A striking…

Strain has been extensively employed to tailor graphene's properties and has emerged as a powerful tool for engineering gauge fields and exploring fundamental phenomena in artificial platforms like photonic graphene. Here we discover that,…

Optics · Physics 2025-09-26 Yongsheng Liang , Shiqi Xia , Daohong Song , Hrvoje Buljan , Zhigang Chen

Properties of the boundary of two conductors in a quantizing magnetic field are studied: with conventional Dirac charge carriers and so-called pseudospin-1 fermions, which are realized in graphene-like and Lieb lattices respectively. It is…

Mesoscale and Nanoscale Physics · Physics 2025-07-24 I. V. Kozlov , Yu. A. Kolesnichenko

When electrons are confined in two dimensions and subjected to strong magnetic fields, the Coulomb interactions between them become dominant and can lead to novel states of matter such as fractional quantum Hall liquids. In these liquids…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Kirill I. Bolotin , Fereshte Ghahari , Michael D. Shulman , Horst L. Stormer , Philip Kim

Magnetism is a prototypical phenomenon of quantum collective state, and has found ubiquitous applications in semiconductor technologies such as dynamic random access memory (DRAM). In conventional materials, it typically arises from the…

Mesoscale and Nanoscale Physics · Physics 2019-11-12 Yongjin Lee , Shi Che , Jairo Velasco , David Tran , Jacopo Baima , Francesco Mauri , Matteo Calandra , Marc Bockrath , Chun Ning Lau

We investigate new properties of the Dirac electrons in the finite graphene sample under perpendicular magnetic field that emerge when an in-plane electric bias is also applied. The numerical analysis of the Hofstadter spectrum and of the…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 B. Ostahie , M. Nita , A. Aldea

We study the dynamics of carriers in graphene subjected to an inhomogeneous magnetic field. For a magnetic field with an hyperbolic profile the corresponding Dirac equation can be analyzed within the formalism of supersymmetric quantum…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Enrique Milpas , Manuel Torres , Gabriela Murguía

The possibility of realization of a superfluid state of bound electron-hole pairs (magnetoexcitons) with spatially separated components in a graphene double layer structure (two graphene layers separated by a dielectric layer) subjected by…

Strongly Correlated Electrons · Physics 2015-05-13 D. V. Fil , L. Yu. Kravchenko

We analyze the zero-energy sector of the trigonal zigzag nanodisk and corner based on the Dirac theory of graphene. The zero-energy states are shown to be indexed by the edge momentum and grouped according to the irreducible representation…

Mesoscale and Nanoscale Physics · Physics 2010-05-19 Motohiko Ezawa

Spatially varying strained graphene can acquire interesting electronic properties because of the strain-induced valley-dependent gauge (pseudomagnetic) fields1,2. Here we report the realization of strained graphene regions located close to…

Materials Science · Physics 2015-03-31 Jun-Fang Liu , Ke-Ke Bai , Jia-Bin Qiao , Yu Zhou , Jia-Cai Nie , Hailin Peng , Zhongfan Liu , Lin He