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Owing to the spin, valley, and orbital symmetries, the lowest Landau level (LL) in bilayer graphene exhibits multicomponent quantum Hall ferromagnetism. Using transport spectroscopy, we investigate the energy gaps of integer and fractional…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Yanmeng Shi , Yongjin Lee , Shi Che , Ziqi Pi , Timothy Espiritu , Petr Stepanov , Dmitry Smirnov , Chun Ning Lau , Fan Zhang

The pseudo-spin model for double layer quantum Hall system with total landau level filling factor $\nu=1$ is discussed. Unlike the "traditional" one where interlayer voltage enters as static magnetic field along pseudo- spin hard axis, in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ramaz Khomeriki , Lasha Tkeshelashvili , Tinatin Buishvili , Shota Revishvili

The transversal and longitudinal resistance in the quantum Hall effect regime was measured in a Si MOSFET sample in which a slot-gate allows one to vary the electron density and filling factor in different parts of the sample. In case of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 I. Shlimak , v. Ginodman , A. Butenko , K. -J. Friedland , S. V. Kravchenko

We study the Landau levels associated with electrons moving in a magnetic field in the presence of a continuous distribution of disclinations, a magnetic screw dislocation and a dispiration. We focus on the influence of these topological…

Quantum Physics · Physics 2009-11-06 G. de A. Marques , Claudio Furtado , V. B. Bezerra , Fernando Moraes

We consider an electron in two dimensions submitted to a magnetic field and to the potential of impurities. We show that when the electron is confined to a half-space by a planar wall described by a smooth increasing potential, the total…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 N. Macris , Ph. A. Martin , J. V. Pule

Field-theoretical methods have been shown to be useful in constructing simple effective theories for two-dimensional (2D) systems. These effective theories are usually studied by perturbing around a mean-field approximation, so the question…

Condensed Matter · Physics 2009-10-28 O. Heinonen , M. D. Johnson

In this work we report experiments on defined by shallow etching narrow Hall bars. The magneto-transport properties of intermediate mobility two-dimensional electron systems are investigated and analyzed within the screening theory of the…

Mesoscale and Nanoscale Physics · Physics 2013-05-07 E. M. Kendirlik , S. Sirt , S. B. Kalkan , W. Dietsche , W. Wegscheider , S. Ludwig , A. Siddiki

We study here the onset of charge density wave instabilities in quantum Hall systems at finite temperature for Landau level filling $\nu>4$. Specific emphasis is placed on the role of disorder as well as an in-plane magnetic field. Beyond…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Tudor Stanescu , Ivar Martin , Philip Phillips

The Hall resistance of a homogeneous electron system is well known to be anti-symmetric with respect to the magnetic field and the sign of charge carriers. We have observed that such symmetries no longer hold in planar hybrid structures…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Jifa Tian , Yongjin Jiang , Isaac Childres , Helin Cao , Jiangping Hu , Yong P. Chen

The plateau phase transition in quantum anomalous Hall (QAH) insulators corresponds to a quantum state wherein a single magnetic domain gives way to multiple magnetic domains and then re-converges back to a single magnetic domain. The layer…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Deyi Zhuo , Ling-Jie Zhou , Yi-Fan Zhao , Ruoxi Zhang , Zi-Jie Yan , Annie G. Wang , Moses H. W. Chan , Chao-Xing Liu , Chui-Zhen Chen , Cui-Zu Chang

We report the observation of the quantized Hall effect in suspended graphene probed with a two-terminal lead geometry. The failure of earlier Hall-bar measurements is discussed and attributed to the placement of voltage probes in mesoscopic…

Mesoscale and Nanoscale Physics · Physics 2011-08-22 I. Skachko , X. Du , F. Duerr , A. Luican , D. A. Abanin , L. S. Levitov , E. Y. Andrei

We compute the effect of Landau-level-mixing on the effective two-body and three-body pseudopotentials for electrons in the lowest and second Landau levels. We find that the resulting effective three-body interaction is attractive in the…

Strongly Correlated Electrons · Physics 2015-05-13 Waheb Bishara , Chetan Nayak

We report electrical transport measurements in a tilted magnetic field on a high-mobility two-dimensional electron system confined at the MgZnO/ZnO heterointerface. The observation of multiple crossing events of spin-resolved Landau levels…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 D. Maryenko , J. Falson , Y. Kozuka , A. Tsukazaki , M. Kawasaki

Here we show that the Pfaffian state proposed for the $\frac52$ fractional quantum Hall states in conventional two-dimensional electron systems can be readily realized in a bilayer graphene at one of the Landau levels. The properties and…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Vadim M. Apalkov , Tapash Chakraborty

We construct a generalized Laughlin-liquid wave function and a variational electron solid wave function when the magnetic field is tilted. The energy of the liquid state is evaluated by Monte Carlo methods while the energy of the solid…

Mesoscale and Nanoscale Physics · Physics 2010-06-22 Yue Yu , Shijie Yang

The phase diagram of integer quantum Hall effect is numerically determined in the tight-binding model, which can account for overall features of recently obtained experimental phase diagram. In particular, the quantum Hall plateaus are…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 D. N. Sheng , Z. Y. Weng

The tilting angular dependence of the energy gap was measured in the bilayer quantum Hall state at the Landau level filling $\nu=1$ by changing the density imbalance between the two layers. The observed gap behavior shows a continuous…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 D. Terasawa , M. Morino , K. Nakada , S. Kozumi , A. Sawada , Z. F. Ezawa , N. Kumada , K. Muraki , Y. Hirayama , T. Saku

We study the critical properties of the quantum anomalous Hall (QAH) plateau transition in magnetic topological insulators. We introduce a microscopic model for the plateau transition in QAH effect at the coercive field and then map it to…

Mesoscale and Nanoscale Physics · Physics 2014-02-11 Jing Wang , Biao Lian , Shou-Cheng Zhang

The mixing of states with {\it opposite chirality} in quantum Hall system is shown to have delocalization effect. It is possible that extended states may form bands because of this mixing, as is shown through a numerical calculation on a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Gang Xiong , Shi-Dong Wang , Qian Niu , Yupeng Wang , X. C. Xie , De-Cheng Tian , X. R. Wang

We investigate the ground-state structure of the bilayer quantum Hall system at the filling factor $\nu =2$. Making an exact analysis of the ground state in the SU(4)-invariant limit, we include all other interactions as small perturbation.…

Strongly Correlated Electrons · Physics 2009-11-11 Z. F. Ezawa , M. Eliashvili , G. Tsitsishvili