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In the quantum Hall regime the charge current is carried by ideal one-dimensional edge channels where the backscattering is prohibited by topology. This results in the constant potential along the edge of the Hall bar leading to zero…

Mesoscale and Nanoscale Physics · Physics 2024-05-21 Alexey A. Kaverzin , Shunsuke Daimon , Takashi Kikkawa , Tomi Ohtsuki , Eiji Saitoh

The detection of fractionally charged quasiparticles, which arise in the fractional quantum Hall regime, is of fundamental importance for probing their exotic quantum properties. While electronic interferometers have been central to probe…

A non-local Hall bar geometry is used to detect neutral-current Hall effects in graphene on silicon dioxide. Disorder is tuned by the addition of Au or Ir adatoms in ultra-high vacuum. A reproducible neutral-current Hall effect is found in…

Mesoscale and Nanoscale Physics · Physics 2015-11-04 Yilin Wang , Xinghan Cai , Janice Reutt-Robey , Michael S. Fuhrer

We address the question of the stability of the (fractional) quantum Hall effect (QHE) in presence of pseudomagnetic disorder generated by mechanical deformations of a graphene sheet. Neglecting the potential disorder and taking into…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 Andrey A. Bagrov , Alessandro Principi , Mikhail I. Katsnelson

It is shown that the observed Quantum Hall Effect in epitaxial layers of heavily doped n-type GaAs with thickness (50-140 nm) larger the mean free path of the conduction electrons (15-30 nm) and, therefore, with a three-dimensional…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. S. Murzin , I. Claus , A. G. M. Jansen , N. T. Moshegov , A. I. Toropov , K. Eberl

We investigate the transport properties of high-quality single-layer graphene, epitaxially grown on a 6H-SiC(0001) substrate. We have measured transport properties, in particular charge carrier density, mobility, conductivity and…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Johannes Jobst , Daniel Waldmann , Florian Speck , Roland Hirner , Duncan K. Maude , Thomas Seyller , Heiko B. Weber

The puzzle of recently observed insulating phase of graphene at filling factor $\nu=0$ in high magnetic field quantum Hall (QH) experiments is investigated. We show that the magnetic field driven Peierls-type lattice distortion (due to the…

Disordered Systems and Neural Networks · Physics 2015-05-19 W. Zhu , Q. W. Shi , J. G. Hou , X. R. Wang

We have performed magnetotransport measurements on a multi-layer graphene flake. At the crossing magnetic field Bc, an approximately temperature-independent point in the measured longitudinal resistivity, which is ascribed to the direct…

Graphene membrane irradiated by weak activating periodic electric field in terahertz range is considered. The corrected formula for the graphene quantum conductivity is found. The obtained formula gives complex conjugate results when…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 N. E. Firsova

Graphene nanostructures exhibit an intrinsic advantage in relation to the gate delay in three-terminal devices and provide additional benefits when operate in the quantum capacitance limit. In this paper, we developed a simple model that…

Mesoscale and Nanoscale Physics · Physics 2011-08-02 George S. Kliros

We have measured the temperature and magnetic field dependence of the Hall coefficient ($R_{\rm H}$) in three, several micrometer long multigraphene samples of thickness between $\sim 9~$to $\sim 30$~nm in the temperature range 0.1 to 200~K…

Superconductivity · Physics 2014-11-07 P. Esquinazi , J. Krüger , J. Barzola-Quiquia , R. Schönemann , T. Herrmannsdörfer , N. García

The quantum Hall effect in a single-layer graphene sample is studied in strong magnetic fields up to 28 T. Our measurements reveal the existence of a metal- insulator transition from filling factor $\nu=-2$ to $\nu=0$. The value of the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 M. Amado , E. Diez , D. López-Romero , F. Rossella , J. M. Caridad , F. Dionigi , V. Bellani , D. K. Maude

Owing to their wide tunability, spin- and valley internal degrees of freedom, and low disorder, graphene heterostructures are emerging as a promising experimental platform for fractional quantum Hall (FQH) studies. Surprisingly, however,…

Strongly Correlated Electrons · Physics 2018-12-05 Hryhoriy Polshyn , Haoxin Zhou , Eric. M. Spanton , Takashi Taniguchi , Kenji Watanabe , Andrea F. Young

The quantum Hall effect is observed in a two-dimensional electron gas formed in millimeter-scale hydrogenated graphene, with a mobility less than 10 $\mathrm{cm^{2}/V\cdot s}$ and corresponding Ioffe-Regel disorder parameter…

Mesoscale and Nanoscale Physics · Physics 2013-04-26 J. Guillemette , S. S. Sabri , B. Wu , K. Bennaceur , P. E. Gaskell , M. Savard , P. L. Lévesque , F. Mahvash , A. Guermoune , M. Siaj , R. Martel , T. Szkopek , G. Gervais

We demonstrate a quantum Hall edge-channel interferometer in a high-quality graphene pn junction under a high magnetic field. The co-propagating p and n quantum Hall edge channels traveling along the pn interface functions as a built-in…

Mesoscale and Nanoscale Physics · Physics 2015-12-16 Sei Morikawa , Satoru Masubuchi , Rai Moriya , Kenji Watanabe , Takashi Taniguchi , Tomoki Machida

Equilibration of quantum Hall edges is studied in a high quality dual gated bilayer graphene device in both unipolar and bipolar regime when all the degeneracies of the zero energy Landau level are completely lifted. We find that in the…

Mesoscale and Nanoscale Physics · Physics 2018-10-24 Chandan Kumar , Saurabh Kumar Srivastav , Anindya Das

We obtain the solution of the Dirac equation in (2+1) dimensions in the presence of a constant magnetic field normal to the plane together with a two-dimensional Dirac-oscillator potential coupling. We study the energy spectrum of graphene…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 Abdelhadi Belouad , Ahmed Jellal , Youness Zahidi

Graphene is considered to be a promising material for future electronics. The envisaged transistor applications often rely on precision cutting of graphene sheets with nanometer accuracy. In this letter we demonstrate graphene-based quantum…

Mesoscale and Nanoscale Physics · Physics 2010-07-27 S. Neubeck , L. A. Ponomarenko , F. Freitag , A. J. M. Giesbers , U. Zeitler , S. V. Morozov , P. Blake , A. K. Geim , K. S. Novoselov

We have studied the breakdown of the integer quantum Hall (QH) effect with fully broken symmetry, in an ultra-high mobility graphene device sandwiched between two single crystal hexagonal boron nitride substrates. The evolution and…

Mesoscale and Nanoscale Physics · Physics 2016-11-22 Shibing Tian , Pengjie Wang , Xin Liu , Junbo Zhu , Hailong Fu , Takashi Taniguch , Kenji Watanabe , Jian-Hao Chen , Xi Lin

We discuss the fact that quantum capacitance of graphene-based devices leads to variation of it's charge density under changes of external magnetic field.The charge is conserved, but redistributes to substrate or other graphene sheet. We…

Mesoscale and Nanoscale Physics · Physics 2014-03-28 Sergey Slizovskiy