English
Related papers

Related papers: Critical level-statistics for weakly disordered gr…

200 papers

We have investigated the behavior of the resistance of graphene at the $n=0$ Landau Level in an intense magnetic field $H$. Employing a low-dissipation technique (with power $P<$3 fW), we find that, at low temperature $T$, the resistance at…

Mesoscale and Nanoscale Physics · Physics 2009-04-01 Joseph G. Checkelsky , Lu Li , N. P. Ong

We study the problem of Dirac fermion confinement in graphene in the presence of a perpendicular magnetic field B. We show, analytically and numerically, that confinement leads to anomalies in the electronic spectrum and to a magnetic field…

Strongly Correlated Electrons · Physics 2009-11-11 N. M. R. Peres , A. H. Castro Neto , F. Guinea

This paper concerns the asymmetric transport associated with a low-energy interface Dirac model of graphene-type materials subject to external magnetic and electric fields. We show that the relevant physical observable, an interface…

Mathematical Physics · Physics 2024-05-22 Solomon Quinn , Guillaume Bal

Graphene is a 2-dimensional material with high carrier mobility and thermal conductivity, suitable for high-speed electronics. Conduction and valence bands touch at the Dirac point. The absorptivity of single-layer graphene is 2.3%, nearly…

Mesoscale and Nanoscale Physics · Physics 2010-10-11 Marcus Freitag , Hsin-Ying Chiu , Mathias Steiner , Vasili Perebeinos , Phaedon Avouris

Graphene, the atomic-thin layer of carbon atoms, was first isolated on an insulating substrate in 2004 by two groups in Manchester University [1, 2] and Columbia [3]. Those milestone experiments established the Dirac nature of the charge…

Mesoscale and Nanoscale Physics · Physics 2013-03-26 J. Cayssol

An analysis of the electron localization properties in doped graphene is performed by doing a numerical multifractal analysis. By obtaining the singularity spectrum of a tight-binding model, it is found that the electron wave functions…

Disordered Systems and Neural Networks · Physics 2013-07-01 J. E. Barrios-Vargas , Gerardo G. Naumis

We study the DC transport of finite graphene samples with random gap. Using Dirac fermions to describe the low-energy physics near the Dirac point, we employ a generalized Drude form for the conductivity. The latter is constant for a…

Mesoscale and Nanoscale Physics · Physics 2010-06-14 K. Ziegler , A. Sinner

Anderson localization of electron states on graphene lattice with diagonal and off-diagonal (OD) disorder in the absence of magnetic field is investigated by using the standard finite-size scaling analysis. In the presence of diagonal…

Disordered Systems and Neural Networks · Physics 2008-01-03 Shi-Jie Xiong , Ye Xiong

The electrons in graphene for energies close to the Dirac point have been found to form strongly interacting fluid. Taking this fact into account we have extended previous work on the transport properties of graphene by taking into account…

High Energy Physics - Theory · Physics 2018-03-14 Marek Rogatko , Karol. I. Wysokinski

In this work, we investigate the massive Kane-Mele model for graphene in the presence of disclination and an external magnetic field, where graphene behaviors as a topological insulator. In the low-energy limit, the effective field equation…

Mesoscale and Nanoscale Physics · Physics 2024-07-08 G. Q. Garcia , J. R. S. Oliveira , P. J. Porfírio , C. Furtado

The specific band structure of graphene, with its unique valley structure and Dirac neutrality point separating hole states from electron states has led to the observation of new electronic transport phenomena such as anomalously quantized…

Mesoscale and Nanoscale Physics · Physics 2011-05-05 Nikolaos Tombros , Csaba Jozsa , Mihaita Popinciuc , Harry T. Jonkman , Bart J. van Wees

We investigate the charge transport properties of planar amorphous graphene that is fully topologically disordered, in the form of sp2 three-fold coordinated networks consisting of hexagonal rings, but also including many pentagons and…

Mesoscale and Nanoscale Physics · Physics 2012-09-27 Dinh Van Tuan , Avishek Kumar , Stephan Roche , Frank Ortmann , M. F. Thorpe , Pablo Ordejon

There are two types of edge states in graphene with/without magnetic field. One is a quantum Hall edge state, which is topologically protected against small perturbation. The other is a chiral zero mode that is localized near the boundary…

Mesoscale and Nanoscale Physics · Physics 2011-06-24 Y. Hatsugai

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

Motivated by recent experiments and a theoretical analysis of the gap equation for the propagator of Dirac quasiparticles, we assume that the physics underlying the recently observed removal of sublattice and spin degeneracies in graphene…

Mesoscale and Nanoscale Physics · Physics 2008-06-13 V. P. Gusynin , V. A. Miransky , S. G. Sharapov , I. A. Shovkovy

A central property of (Chern) topological insulators is the presence of robust asymmetric transport along interfaces separating two-dimensional insulating materials in different topological phases. A Topological Anderson Insulator is an…

Analysis of PDEs · Mathematics 2023-11-28 Guillaume Bal , Thuyen Dang

We investigate the effect of spin-orbit coupling on the band structure of graphene-based two-dimensional Dirac fermion gases in the quantum Hall regime. Taking monolayer graphene as our first candidate, we show that a quantum phase…

Mesoscale and Nanoscale Physics · Physics 2013-06-11 Pierre Carmier , Oleksii Shevtsov , Christoph Groth , Xavier Waintal

Electronic properties of graphene oxides enriched by the strong chemical bondings are investigated using first-principle calculations. They are very sensitive to the changes in the number of graphene layer, stacking configuration, and…

Materials Science · Physics 2015-07-28 Ngoc Thanh Thuy Tran , Shih-Yang Lin , Yu-Tsung Lin , Ming-Fa Lin

The electric conductance of a strip of undoped graphene increases in the presence of a disorder potential, which is smooth on atomic scales. The phenomenon is attributed to impurity-assisted resonant tunneling of massless Dirac fermions.…

Mesoscale and Nanoscale Physics · Physics 2007-06-13 M. Titov

Four-component massive and massless Dirac fermions in the presence of long range Coulomb interaction and chemical potential disorder exhibit striking fermionic quantum criticality. For an odd number of flavors of Dirac fermions, the sign of…

Disordered Systems and Neural Networks · Physics 2015-03-17 Pallab Goswami , Sudip Chakravarty