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The electronic properties of non-interacting particles moving on a two-dimensional bricklayer lattice are investigated numerically. In particular, the influence of disorder in form of a spatially varying random magnetic flux is studied. In…

无序系统与神经网络 · 物理学 2009-12-22 L. Schweitzer

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…

介观与纳米尺度物理 · 物理学 2015-06-15 Frank Ortmann , Stephan Roche

The lifting of the degeneracy of the states from the graphene $n$=0 Landau level (LL) is investigated through a non-interacting tight-binding model with random hoppings. A disorder-driven splitting of two bands and of two critical energies…

介观与纳米尺度物理 · 物理学 2009-10-01 Ana L. C. Pereira

The appearence of long-range correlations near the Dirac point of a Dirac-like spinor model with random vector potential is studied. These correlations originate from a spontaneously broken symmetry and their corresponding Goldstone modes.…

介观与纳米尺度物理 · 物理学 2008-09-04 K. Ziegler

The Landau level spectrum of graphene superlattices is studied using a tight-binding approach. We consider non-interacting particles moving on a hexagonal lattice with an additional one-dimensional superlattice made up of periodic square…

介观与纳米尺度物理 · 物理学 2012-06-28 G. Pal , W. Apel , L. Schweitzer

We numerically study the quantum Hall effect in biased bilayer graphene based on a tight-binding model in the presence of disorder. Integer quantum Hall plateaus with quantized conductivity $\sigma_{xy}=\nu e^2/h$ (where $\nu$ is any…

介观与纳米尺度物理 · 物理学 2009-07-29 R. Ma , L. J. Zhu , L. Sheng , M. Liu , D. N. Sheng

We numerically study the quantum Hall effect (QHE) in bilayer graphene based on tight-binding model in the presence of disorder. Two distinct QHE regimes are identified in the full energy band separated by a critical region with…

介观与纳米尺度物理 · 物理学 2015-05-13 R. Ma , L. Sheng , R. Shen , M. Liu , D. N. Sheng

We study electron transport properties of a monoatomic graphite layer (graphene) with different types of disorder at half filling. We show that the transport properties of the system depend strongly on the symmetry of disorder. We find that…

介观与纳米尺度物理 · 物理学 2007-10-04 P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

The effect of strong long-range disorder on the quantization of the Hall conductivity $\sigma_{xy}$ in graphene is studied numerically. It is shown that increasing Landau-level mixing progressively destroys all plateaus in $\sigma_{xy}$…

介观与纳米尺度物理 · 物理学 2008-06-30 Kentaro Nomura , Shinsei Ryu , Mikito Koshino , Christopher Mudry , Akira Furusaki

We report on the formation of critical states in disordered graphene, at the origin of variable and unconventional transport properties in the quantum Hall regime, such as a zero-energy Hall conductance plateau in the absence of an energy…

介观与纳米尺度物理 · 物理学 2016-03-23 Nicolas Leconte , Frank Ortmann , Alessandro Cresti , Stephan Roche

We report a study of disorder effects on epitaxial graphene in the vicinity of the Dirac point by magneto-transport. Hall effect measurements show that the carrier density increases quadratically with temperature, in good agreement with…

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…

介观与纳米尺度物理 · 物理学 2015-06-23 B. Ostahie , M. Nita , A. Aldea

The longitudinal resistances of a six-terminal graphene p-n junction under a perpendicular magnetic field are investigated. Because of the chirality of the Hall edge states, the longitudinal resistances on top and bottom edges of the…

介观与纳米尺度物理 · 物理学 2015-05-20 Jiang-chai Chen , T. C. Au Yeung , Qing-feng Sun

We investigate the electronic transport properties of unbiased and biased bilayer graphene nanoribbon in n-p and n-n junctions subject to a perpendicular magnetic field. Using the non-equilibrium Green's function method and the…

介观与纳米尺度物理 · 物理学 2015-05-27 H. Hatami , N. Abedpour , A. Qaiumzadeh , Reza Asgari

Broadening of the Landau levels in graphene and the associated quantum Hall plateau-to-plateau transition are investigated numerically. For correlated bond disorder, the graphene-specific n=0 Landau level of the Dirac fermions becomes…

介观与纳米尺度物理 · 物理学 2010-03-03 Tohru Kawarabayashi , Yasuhiro Hatsugai , Hideo Aoki

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…

介观与纳米尺度物理 · 物理学 2025-02-25 Andrii A. Chaika , Yelizaveta Kulynych , D. O. Oriekhov , Sergei 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…

介观与纳米尺度物理 · 物理学 2015-03-20 Bitan Roy , Zi-Xiang Hu , Kun Yang

We have investigated the fractional quantum Hall states for the Dirac electrons in a graphene layer in different Landau levels. The relativistic nature of the energy dispersion relation of the electrons in the graphene significantly…

介观与纳米尺度物理 · 物理学 2009-11-11 Vadim M. Apalkov , Tapash Chakraborty

The zero temperature transport properties of two-dimensional lattice systems with static random magnetic flux per plaquette and zero mean are investigated numerically. We study the two-terminal conductance and its dependence on energy,…

介观与纳米尺度物理 · 物理学 2010-10-01 P. Markos , L. Schweitzer

The complex nature of filling factor $\nu$=0 of monolayer graphene is studied in magnetotransport experiments. As function of perpendicular magnetic field a metal-insulator transition is observed, which is attributed to disorder-induced…

介观与纳米尺度物理 · 物理学 2019-08-08 Sung Ju Hong , Christopher Belke , Johannes C. Rode , Benedikt Brechtken , Rolf J. Haug
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