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We demonstrate that the electronic spectrum of graphene in a one-dimensional periodic potential will develop a Landau level spectrum when the potential magnitude varies slowly in space. The effect is related to extra Dirac points generated…

Mesoscale and Nanoscale Physics · Physics 2011-02-28 Jianmin Sun , H. A. Fertig , L. Brey

Frequency dependent conductivity of Coulomb interacting massless Dirac fermions coupled to random scalar and random vector potentials is found as a function of frequency in the regime controlled by a line of fixed points. Such model…

Disordered Systems and Neural Networks · Physics 2008-10-22 Oskar Vafek

Landau levels of AB-stacked four- to six-layer graphene were studied experimentally in the presence of a perpendicular electric field. The Landau levels at a low magnetic field showed a characteristic structure that originated from the…

Mesoscale and Nanoscale Physics · Physics 2019-12-25 Kota Horii , Tomoaki Nakasuga , Taiki Hirahara , Shingo Tajima , Ryoya Ebisuoka , Kenji Watanabe , Takashi Taniguchi , Ryuta Yagi

Adsorbates can drastically alter physical properties of graphene. Particularly important are adatoms and admolecules that induce resonances at the Dirac point. Such resonances limit electron mobilities and spin relaxation times. We present…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 Jeongsu Lee , Denis Kochan , Jaroslav Fabian

Theoretical research has predicted that ripples of graphene generates effective gauge field on its low energy electronic structure and could lead to zero-energy flat bands, which are the analog of Landau levels in real magnetic fields. Here…

Mesoscale and Nanoscale Physics · Physics 2013-05-07 Lan Meng , Wen-Yu He , Hong Zheng , Mengxi Liu , Hui Yan , Wei Yan , Zhao-Dong Chu , Keke Bai , Rui-Fen Dou , Yanfeng Zhang , Zhongfan Liu , Jia-Cai Nie , Lin He

Motivated by recent proposals on strain-engineering of graphene electronic circuits we calculate conductivity, shot-noise and the density of states in periodically deformed graphene. We provide the solution to the Dirac-Kronig-Penney model,…

Mesoscale and Nanoscale Physics · Physics 2010-10-13 S. Gattenloehner , W. Belzig , M. Titov

In inhomogeneously strained graphene, low-energy electrons experience a valley-antisymmetric pseudo-magnetic field which leads to the formation of localized states at the edge between the valence and conduction bands, understood in terms of…

Mesoscale and Nanoscale Physics · Physics 2013-10-22 Diana A. Gradinar , Marcin Mucha-Kruczyński , Henning Schomerus , Vladimir I. Fal'ko

We study the effect of disordered ripples on the conductivity of monolayer graphene flakes. We calculate the relaxation times and the Boltzmann conductivities associated with two mechanisms. First, we study the conductivity correction due…

Mesoscale and Nanoscale Physics · Physics 2015-09-03 Rhonald Burgos , Jesus Warnes , Leandro R. F. Lima , Caio Lewenkopf

We examine strain-induced quantized Landau levels in graphene. Specifically, arc-bend strains are found to cause nonuniform pseudomagnetic fields. Using an effective Dirac model which describes the low-energy physics around the nodal…

Mesoscale and Nanoscale Physics · Physics 2012-09-05 Yichen Chang , Tameem Albash , Stephan Haas

The density of states and the AC conductivity of graphene under uniform strain are calculated using a new Dirac Hamiltonian that takes into account the main three ingredients that change the electronic properties of strained graphene: the…

Mesoscale and Nanoscale Physics · Physics 2014-06-02 M. Oliva-Leyva , Gerardo G. Naumis

Essential properties of multilayer graphenes are diversified by the number of layers and the stacking configurations. For an $N$-layer system, Landau levels are divided into $N$ groups, with each identified by a dominant sublattice…

Computational Physics · Physics 2015-06-23 Chiun-Yan Lin , Jhao-Ying Wu , Yih-Jon Ou , Yu-Huang Chiu , Ming-Fa Lin

Landau level quantization in graphene reflects the Dirac nature of its quasiparticles and has been found to exhibit an unusual integer quantum Hall effect. In particular the lowest Landau level can be thought as shared equally by electrons…

Mesoscale and Nanoscale Physics · Physics 2007-05-28 V. P. Gusynin , S. G. Sharapov , J. P. Carbotte

As a canonical response to the applied magnetic field, the electronic states of a metal are fundamentally reorganized into Landau levels. In Dirac metals, Landau levels can be expected without magnetic fields, provided that an inhomogeneous…

Mesoscale and Nanoscale Physics · Physics 2021-08-13 Zheng Shi , Hai-Zhou Lu , Tianyu Liu

We study a gapped graphene monolayer in a combination of uniform magnetic field and strain-induced uniform pseudomagnetic field. The presence of two fields completely removes the valley degeneracy. The resulting density of states shows a…

Mesoscale and Nanoscale Physics · Physics 2018-01-17 V. O. Shubnyi , S. G. Sharapov

We show through both theoretical arguments and numerical calculations that graphene discerns an unconventional sequence of quantized Hall conductivity, when subject to both magnetic fields (B) and strain. The latter produces time-reversal…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 Bitan Roy , Zi-Xiang Hu , Kun Yang

Within the tight binding approximation, we study the dependence of the electronic band structure and of the optical conductivity of a graphene single layer on the modulus and direction of applied uniaxial strain. While the Dirac cone…

Mesoscale and Nanoscale Physics · Physics 2010-01-15 F. M. D. Pellegrino , G. G. N. Angilella , R. Pucci

We study the discrete energy spectrum of curved graphene sheets in the presence of a magnetic field. The shifting of the Landau levels is determined for complex and realistic geometries of curved graphene sheets. The energy levels follow a…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Kyriakos Flouris , Miller Mendoza , Hans J. Herrmann

We report on robust features of the longitudinal conductivity ($\sigma_{xx}$) of the graphene zero-energy Landau level in presence of disorder and varying magnetic fields. By mixing an Anderson disorder potential with a low density of…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Frank Ortmann , Stephan Roche

The density of states and differential entropy per particle are analyzed for Dirac-like electrons in graphene subjected to a perpendicular magnetic field and an in-plane electric field. For comparison, the derived density of states is…

Mesoscale and Nanoscale Physics · Physics 2025-02-25 Andrii A. Chaika , Yelizaveta Kulynych , D. O. Oriekhov , Sergei G. Sharapov

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
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