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A single two-dimensional Dirac cone with a mass gap produces a quantized (spin-) Hall step in the absence of magnetic field. What happens in strong electric fields? This question is investigated by analyzing time evolution and dynamics of…

Mesoscale and Nanoscale Physics · Physics 2011-02-21 Balázs Dóra , Roderich Moessner

We report on magnetotransport measurements of multi-terminal suspended graphene devices. Fully developed integer quantum Hall states appear in magnetic fields as low as 2 T. At higher fields the formation of longitudinal resistance minima…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Fereshte Ghahari , Yue Zhao , Paul Cadden-Zimansky , Kirill Bolotin , Philip Kim

We investigate low-temperature magneto-transport in recently developed, high-quality multi-terminal suspended bilayer graphene devices, enabling the independent measurement of the longitudinal and transverse resistance. We observe clear…

Mesoscale and Nanoscale Physics · Physics 2018-01-03 Dong-Keun Ki , Vladimir I. Fal'ko , Dmitry A. Abanin , Alberto F. Morpurgo

Due to its fourfold spin-valley degeneracy, graphene in a strong magnetic field may be viewed as a four-component quantum Hall system. We investigate the consequences of this particular structure on a possible, yet unobserved, fractional…

Mesoscale and Nanoscale Physics · Physics 2009-06-08 Z. Papić , M. O. Goerbig , N. Regnault

This short theoretical review deals with some essential ingredients for the understanding of the quantum Hall effect in graphene in comparison with the effect in conventional two-dimensional electron systems with a parabolic band…

Mesoscale and Nanoscale Physics · Physics 2012-02-03 M. O. Goerbig

A key feature of the topological surface state under a magnetic field is the presence of the zeroth Landau level at the zero energy. Nonetheless, it has been challenging to probe the zeroth Landau level due to large electron-hole puddles…

We predict the existence of a three dimensional quantum Hall effect plateau in a graphite crystal subject to a magnetic field. The plateau has a Hall conductivity quantized at $\frac{4e^2}{\hbar} \frac{1}{c_0} $ with $c_0$ the c-axis…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 B. Andrei Bernevig , Taylor L. Hughes , Srinivas Raghu , Daniel P. Arovas

We have studied the tachyonic excitations in the junction of two topological insulators in the presence of an external magnetic field. The Landau levels, evaluated from an effective two-dimensional model for tachyons, and from the junction…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Vadim M. Apalkov , Tapash Chakraborty

Magnetic fields quench the kinetic energy of two dimensional electrons, confining them to highly degenerate Landau levels. In the absence of disorder, the ground state at partial Landau level filling is determined only by Coulomb…

Strongly Correlated Electrons · Physics 2018-07-04 A. A. Zibrov , E. M. Spanton , H. Zhou , C. Kometter , T. Taniguchi , K. Watanabe , A. F. Young

We studied the insulator-quantum Hall conductor transition which separates the low-field insulator from the quantum Hall state of the filling factor $\nu=4$ on a gated two-dimensional GaAs electron system containing self-assembled InAs…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Tsai-Yu Huang , J. R. Juang , C. F. Huang , Gil-Ho Kim , Chao-Ping Huang , C. -T. Liang , Y. H. Chang , Y. F. Chen , Y. Lee , D. A. Ritchie

We study the magnetotransport properties of dual-gated graphene bilayers, in which the total density and layer density imbalance are independently controlled. As the bilayer is imbalanced we observe the emergence of a quantum Hall state…

Mesoscale and Nanoscale Physics · Physics 2009-09-15 Seyoung Kim , E. Tutuc

We present a theory of the cavity quantum electrodynamics of the graphene cyclotron resonance. By employing a canonical transformation, we derive an effective Hamiltonian for the system comprised of two neighboring Landau levels dressed by…

Mesoscale and Nanoscale Physics · Physics 2014-04-23 F. M. D. Pellegrino , L. Chirolli , Rosario Fazio , V. Giovannetti , Marco Polini

The integer quantum Hall states at fillings $\nu = 0$ and $|\nu| = 1$ in monolayer graphene have drawn much attention as they are generated by electron-electron interactions. Here we explore aspects of the $\nu = 0$ and $|\nu| = 1$ quantum…

Strongly Correlated Electrons · Physics 2020-11-09 Hank Chen , Matthew R. C. Fitzpatrick , Sujit Narayanan , Bitan Roy , Malcolm P. Kennett

The quantum Hall (QH) effect in two-dimensional (2D) electrons and holes in high quality graphene samples is studied in strong magnetic fields up to 45 T. QH plateaus at filling factors $\nu=0,\pm 1,\pm 4$ are discovered at magnetic fields…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Y. Zhang , Z. Jiang , J. P. Small , M. S. Purewal , Y. -W. Tan , M. Fazlollahi , J. D. Chudow , J. A. Jaszczak , H. L. Stormer , P. Kim

We study the behavior of the extended states of a two-dimensional electron system in silicon in a magnetic field, B. Our results show that the extended states, corresponding to the centers of different Landau levels, merge with the lowest…

Condensed Matter · Physics 2016-08-31 S. V. Kravchenko , Whitney Mason , J. E. Furneaux , V. M. Pudalov

We present a new theoretical approach for the integer quantum Hall effect, which is able to describe the inter-plateau transitions as well as the transition to the Hall insulator. We find two regimes (metallic and insulator like) of the top…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 J. Oswald , G. Span , F. Kuchar

The Syst\`eme Internationale d'unit\'es (SI system) is about to undergo its biggest change in half a century by redefining the units for mass and current in terms of the fundamental constants h and e, respectively. This change crucially…

Mesoscale and Nanoscale Physics · Physics 2012-01-09 T. J. B. M. Janssen , N. E. Fletcher , R. Goebel , J. M. Williams , A. Tzalenchuk , R. Yakimova , S. Kubatkin , S. Lara-Avila , V. I. Falko

We present high frequency measurements of the diagonal conductivity sigma_xx of a two dimensional electron system in the integer quantum Hall regime. The width of the sigma_xx peaks between QHE minima is analyzed within the framework of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 F. Hohls , U. Zeitler , R. J. Haug , K. Pierz

We report an observation of conductance fuctuations (CFs) in the bipolar regime of quantum hall (QH) plateaus in graphene (p-n-p/n-p-n) devices. The CFs in the bipolar regime are shown to decrease with increasing bias and temperature. At…

Mesoscale and Nanoscale Physics · Physics 2018-01-17 Chandan Kumar , Manabendra Kuiri , Anindya Das

Temperature dependence of the longitudinal and Hall resistance is studied in the regime of localization-delocalization transition. We carry out measurements of a scaling exponent $\kappa$ in the Landau level mixing region at several filling…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Y. J. Zhao , T. Tu , X. J. Hao , G. C. Guo , H. W. Jiang , G. P. Guo