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Graphite is a well-studied material with known electronic and optical properties. Graphene, on the other hand, which is just one layer of carbon atoms arranged in a hexagonal lattice, has been studied theoretically for quite some time but…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 F. Molitor , D. Graf , C. Stampfer , T. Ihn , K. Ensslin

Graphene has attracted a great interest in material science due to its novel electronic structrues. Recently, magnetism discovered in graphene based systems opens the possibility of their spintronics application. This paper provides a…

Materials Science · Physics 2009-09-24 Erjun Kan , Zhenyu Li , Jinlong Yang

In this paper the results of numerical simulation of monolayer graphene in external magnetic field are presented. The numerical simulation is performed in the effective lattice field theory with noncompact $3 + 1$-dimensional Abelian…

High Energy Physics - Lattice · Physics 2014-06-13 D. L. Boyda , V. V. Braguta , S. N. Valgushev , M. I. Polikarpov , M. V. Ulybyshev

We analyze a gap equation for the propagator of Dirac quasiparticles and conclude that in graphene in a magnetic field, the order parameters connected with the quantum Hall ferromagnetism dynamics and those connected with the magnetic…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 E. V. Gorbar , V. P. Gusynin , V. A. Miransky

Intrinsic layered structure of graphite is the source of ongoing and expanding search of ways of obtaining low-cost and promising graphite thin layers. We report on a novel method of obtaining and separating rubbed graphite sheets by using…

Materials Science · Physics 2015-06-23 Manuel R. Mailian , Aram R. Mailian

Artificial lattices have served as a platform to study the physics of unconventional superconductivity. We study semiconductor artificial graphene -- a honeycomb superlattice imposed on a semiconductor heterostructure -- which hosts the…

Superconductivity · Physics 2020-11-02 Tommy Li , Julian Ingham , Harley D. Scammell

Fabrication of graphene structures has triggered vast research efforts focused on the properties of two-dimensional systems with massless Dirac fermions. Nevertheless, further progress in exploring this quantum electrodynamics system in…

Mesoscale and Nanoscale Physics · Physics 2009-10-10 P. Neugebauer , M. Orlita , C. Faugeras , A. -L. Barra , M. Potemski

Strain engineering of graphene takes advantage of one of the most dramatic responses of Dirac electrons enabling their manipulation via strain-induced pseudo-magnetic fields. Numerous theoretically proposed devices, such as resonant…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 R. Banerjee , V. -H. Nguyen , T. Granzier-Nakajima , L. Pabbi , A. Lherbier , A. R. Binion , J. -C. Charlier , M. Terrones , E. W. Hudson

Graphene research is currently one of the largest fields in condensed matter. Due to its unusual electronic spectrum with Dirac-like quasiparticles, and the fact that it is a unique example of a metallic membrane, graphene has properties…

Materials Science · Physics 2010-04-22 Antonio H. Castro Neto

We investigate the relativistic quantum dynamics of amassless electron in graphene in a two-dimensional noncommutative (NC) plane under a constant background magnetic field. To address the issue of gauge invariance, we employ an effective…

High Energy Physics - Theory · Physics 2025-09-30 Aslam Halder

In this paper, we investigated the effects of periodic external potentials on properties of charge carriers in graphene using both the first-principles method based on density functional theory (DFT) and a theoretical approach based on a…

Mesoscale and Nanoscale Physics · Physics 2013-11-27 Aihua Zhang , Zhenxiang Dai , Lei Shi , Yuan Ping Feng , Chun Zhang

We study electronic transport in graphene under the influence of a transversal magnetic field $\f{B}(\f{r})=B(x)\f{e}_z$ with the asymptotics $B(x\to\pm\infty)=\pm B_0$, which could be realized via a folded graphene sheet in a constant…

Mesoscale and Nanoscale Physics · Physics 2013-01-18 Friedemann Queisser , Ralf Schützhold

In this paper we study the excitation spectrum of graphene in a strong magnetic field, beyond the Dirac cone approximation. The dynamical polarizability is obtained using a full $\pi$-band tight-binding model where the effect of the…

Mesoscale and Nanoscale Physics · Physics 2012-09-03 Shengjun Yuan , Rafael Roldán , Mikhail I. Katsnelson

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

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…

We study the effect of sublattice symmetry breaking on the electronic, magnetic and transport properties of two dimensional graphene as well as zigzag terminated one and zero dimensional graphene nanostructures. The systems are described…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 D. Soriano , J. Fernández-Rossier

Electrons moving in graphene behave as massless Dirac fermions, and they exhibit fascinating low-frequency electrical transport phenomena. Their dynamic response, however, is little known at frequencies above one terahertz (THz). Such…

The discovery of two-dimensional (2D) magnets has opened up new possibilities for miniaturizing spintronic devices to the monolayer limit. 2D half-metals, capable of conducting fully spin-polarized currents when spin-orbit coupling is…

Mesoscale and Nanoscale Physics · Physics 2024-11-07 Yukang Ding , Tingfeng Zhang , Xiuqin Lu , Yunlong Xia , Zengfu Ou , Ye Chen , Wenya Zhai , Donghui Guo , Fengkun Chen , Meifang Zhu , Zhengfei Wang , Jingcheng Li

The generalized tight-binding model, with the exact diagonalization method, is developed to investigate optical properties of graphene in five kinds of external fields. The quite large Hamiltonian matrix is transferred into the band-like…

Materials Science · Physics 2015-03-31 Y. H. Chiu , Y. C. Ou , M. F. Lin

We investigate the ordering instability of interacting (and for simplicity, spinless) fermions on graphene's honeycomb lattice by numerically computing the Hartree self-consistent solution for the charge-density-wave order parameter in…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Bitan Roy , Igor F. Herbut