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The edge states in the integer quantum Hall effect are known to be significantly affected by electrostatic interactions leading to the formation of compressible and incompressible strips at the boundaries of Hall bars. We show here, in a…

Mesoscale and Nanoscale Physics · Physics 2012-11-20 H. Hettmansperger , F. Duerr , J. B. Oostinga , C. Gould , B. Trauzettel , L. W. Molenkamp

Graphene's exceptional electronic mobility, gate-tunability, and contact transparency with superconducting materials make it ideal for exploring the superconducting proximity effect. However, the work function difference between graphene…

Mesoscale and Nanoscale Physics · Physics 2025-03-18 Seong Jang , Geon-Hyoung Park , Sein Park , Hyeon-Woo Jeong , Kenji Watanabe , Takashi Taniguchi , Gil-Ho Lee

Hybrid superconductor/graphene (SC/g) junctions are excellent candidates for investigating correlations between Cooper pairs and quantum Hall (QH) edge modes. Experimental studies are challenging as Andreev reflections are extremely…

Graphene nanoribbons can be folded into a double layer system keeping the two layers decoupled. In the Quantum Hall regime folds behave as a new type of Hall bar edge. We show that the symmetry properties of the zero Landau level in…

Mesoscale and Nanoscale Physics · Physics 2010-09-06 Elsa Prada , Pablo San-Jose , Luis Brey

The quantum Hall effect in graphene p-n junctions is studied numerically with emphasis on the effect of disorder at the interface of two adjacent regions. Conductance plateaus are found to be attached to the intensity of the disorder, and…

Mesoscale and Nanoscale Physics · Physics 2009-04-06 Jian Li , Shun-Qing Shen

We review the basic aspects of electrons in graphene (two-dimensional graphite) exposed to a strong perpendicular magnetic field. One of its most salient features is the relativistic quantum Hall effect the observation of which has been the…

Mesoscale and Nanoscale Physics · Physics 2011-11-24 M. O. Goerbig

We argue that by inducing superconductivity in graphene via the proximity effect, it is possible to observes the "quantum valley Hall effect". In the presence of magnetic field, supercurrent causes "valley pseudospin" to accumulate at the…

Superconductivity · Physics 2013-05-29 Pouyan Ghaemi , Shinsei Ryu , Dung-Hai Lee

We report experimental observation of the reentrant integer quantum Hall effect in graphene, appearing in the N$=$2 Landau level. Similar to high-mobility GaAs/AlGaAs heterostructures, the effect is due to a competition between…

Mesoscale and Nanoscale Physics · Physics 2019-01-23 Shaowen Chen , Rebeca Ribeiro-Palau , Kang Yang , Kenji Watanabe , Takashi Taniguchi , James Hone , Mark O. Goerbig , Cory R. Dean

The thermoelectric Hall effect is the generation of a transverse heat current upon applying an electric field in the presence of a magnetic field. Here we demonstrate that the thermoelectric Hall conductivity $\alpha_{xy}$ in the…

In a heterostructure of graphene and the ferromagnetic insulator EuO, the Eu atoms induce proximity exchange and inter-valley interactions in the graphene layer. Constrained by the lattice symmetries, and guided by ab initio calculations, a…

Materials Science · Physics 2017-04-11 Shanshan Su , Yafis Barlas , Roger K. Lake

Quantum electron transport in side-gated graphene Hall bars is investigated in the presence of quantizing external magnetic fields. The asymmetric potential of four side-gates distorts the otherwise flat bands of the relativistic Landau…

Mesoscale and Nanoscale Physics · Physics 2017-04-26 M. D. Petrović , F. M. Peeters

We present a theoretical framework to describe the integer quantum Hall effect (IQHE) in three-dimensional (3D) electron systems. This extends our previous single-electron approach, which was successfully applied to two-dimensional (2D)…

Mesoscale and Nanoscale Physics · Physics 2025-09-09 M. A. Hidalgo

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

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 $\sigma_{xy}$…

Mesoscale and Nanoscale Physics · Physics 2008-06-30 Kentaro Nomura , Shinsei Ryu , Mikito Koshino , Christopher Mudry , Akira Furusaki

We discuss the quantum Hall effect on a single-layer graphene in the framework of noncommutative (NC) phase space. We find it induces a shift in the Hall resistivity. Furthermore, comparison with experimental data reveals an upper bound on…

High Energy Physics - Theory · Physics 2018-01-11 Willien O. Santos , Guilherme M. A. Almeida , Andre M. C. Souza

We study the behavior of the conductance and the current-noise in three-terminal configurations of edge modes of a quantum Hall system in the nu=2 filling factor with normal and s-wave superconducting contacts. We discuss the impact of…

Mesoscale and Nanoscale Physics · Physics 2024-03-05 Liliana Arrachea , Alfredo Levy Yeyati , Carlos Balseiro

We report distinctive magnetotransport properties of a graphene p-n-p junction prepared by controlled diffusion of metallic contacts. In most cases, materials deposited on a graphene surface introduce substantial carrier scattering, which…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 Cheng-Hua Liu , Po-Hsiang Wang , Tak-Pong Woo , Fu-Yu Shih , Shih-Ching Liou , Po-Hsun Ho , Chun-Wei Chen , Chi-Te Liang , Wei-Hua Wang

We study the reflection of electrons and quasiparticles on point-contact interfaces between fractional quantum Hall (FQH) states and normal metals (leads), as well as interfaces between two FQH states with mismatched filling fractions. We…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Nancy P. Sandler , Claudio de C. Chamon , Eduardo Fradkin

The electronic structure of multilayer graphenes depends strongly on the number of layers as well as the stacking order. Here we explore the electronic transport of purely ABA-stacked trilayer graphenes in a dual-gated field-effect device…

Mesoscale and Nanoscale Physics · Physics 2012-01-20 E. A. Henriksen , D. Nandi , J. P. Eisenstein

Many striking non-equilibrium phenomena have been discovered or predicted in optically-driven quantum solids, ranging from light-induced superconductivity to Floquet-engineered topological phases. These effects are expected to lead to…

Mesoscale and Nanoscale Physics · Physics 2020-01-13 J. W. McIver , B. Schulte , F. -U. Stein , T. Matsuyama , G. Jotzu , G. Meier , A. Cavalleri