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We study the competition between the long-range Coulomb interaction, disorder scattering, and lattice effects in the integer quantum Hall effect (IQHE) in graphene. By direct transport calculations, both $\nu=1$ and $\nu=3$ IQHE states are…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 L. Sheng , D. N. Sheng , F. D. M. Haldane , Leon Balents

We consider the quantum Hall effect (QHE) in a system of interacting electrons. Our formalism is valid for systems in the presence of an external magnetic field, as well as for systems with a nontrivial band topology. That is, the…

Mesoscale and Nanoscale Physics · Physics 2022-09-01 J. Miller , M. A. Zubkov

Can a generic magnetic insulator exhibit a Hall current? The quantum anomalous Hall effect (QAHE) is one example of an insulating bulk carrying a quantized Hall conductivity and other insulators (with zero Chern number) present zero Hall…

Mesoscale and Nanoscale Physics · Physics 2023-06-06 Daniel Kaplan , Tobias Holder , Binghai Yan

We have experimentally studied the fractional quantum Hall effect (FQHE) in SiGe/Si/SiGe quantum wells in relatively weak magnetic fields, where the Coulomb interaction between electrons exceeds the cyclotron splitting by a factor of a few…

Strongly Correlated Electrons · Physics 2018-08-20 V. T. Dolgopolov , M. Yu. Melnikov , A. A. Shashkin , S. -H. Huang , C. W. Liu , S. V. Kravchenko

We study the quantum Hall effect (QHE) in the three-dimensional topological insulator HgTe, which features topological Dirac-type surface states in a bulk gap opened by strain. Despite the co-existence of multiple carrier subsystems, the…

Mesoscale and Nanoscale Physics · Physics 2024-10-25 S. Hartl , L. Freund , M. Kühn , J. Ziegler , E. Richter , W. Himmler , J. Bärenfänger , D. A. Kozlov , N. N. Mikhailov , J. Weis , D. Weiss

Quantum anomalous Hall effect (QAHE) is a fundamental quantum transport phenomenon in condensed matter physics. Until now, the only experimental realization of the QAHE has been observed for Cr/V-doped (Bi,Sb)$_2$Te$_3$ but at extremely low…

Mesoscale and Nanoscale Physics · Physics 2018-06-08 Xinzhou Deng , Hualing Yang , Shifei Qi , Xiaohong Xu , Zhenhua Qiao

In QED of two space dimensions, a quantum Hall effect occurs in the absence of any magnetic field. We give a simple and transparent explanation. In solid state physics, the Hall conductivity for non-degenerate ground state is expected to be…

Mesoscale and Nanoscale Physics · Physics 2008-04-25 Marianne Leitner

We discuss the quantum Hall effect of bilayer graphene with finite gate voltage where the Fermi energy exceeds the interlayer hopping energy. We calculated magnetic susceptibility, diagonal and off-diagonal conductivities in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Masaaki Nakamura , Lila Hirasawa , Ken-Ichiro Imura

We examine the quantum Hall effect in bilayer graphene grown on Cu substrates by chemical vapor deposition. Spatially resolved Raman spectroscopy suggests a mixture of Bernal (A-B) stacked and rotationally faulted (twisted) domains.…

Mesoscale and Nanoscale Physics · Physics 2012-05-21 Babak Fallahazad , Yufeng Hao , Kayoung Lee , Seyoung Kim , R. S. Ruoff , E. Tutuc

The nature of fractional quantum Hall (FQH) states is determined by the interplay between the Coulomb interaction and the symmetries of the system. The unique combination of spin, valley, and orbital degeneracies in bilayer graphene is…

Mesoscale and Nanoscale Physics · Physics 2014-07-22 Angela Kou , Benjamin E. Feldman , Andrei J. Levin , Bertrand I. Halperin , Kenji Watanabe , Takashi Taniguchi , Amir Yacoby

The conductivity and Hall effect were measured in CVD-grown monolayer graphene as a function of the gate voltage, $V_{g}$, at temperatures down to $T$ = 2 K and in magnetic fields up to $B$ = 8 T. The minimal conductivity was observed at…

Materials Science · Physics 2018-01-12 Erez Zion , Alexander Butenko , Amos Sharnoi , Moshe Kaveh , Issai Shlimak

Hole-conjugate states of the fractional quantum Hall effect host counter-propagating edge channels which are thought to exchange charge and energy. These exchanges have been the subject of extensive theoretical and experimental works; in…

We investigate carrier transport in a single 22 nm-thick double-gated Si quantum well device, which has independent contacts to electrons and holes. Conductance, Hall density and Hall mobility are mapped in a broad double-gate voltage…

Materials Science · Physics 2009-11-13 M. Prunnila , S. J. Laakso , J. M. Kivioja , J. Ahopelto

We demonstrate that a field effect transistor (FET) made of few layer black phosphorus (BP) encapsulated in hexagonal boron nitride (h-BN) in vacuum, exhibts the room temperature hole mobility of 5200 $cm^2/Vs$ being limited just by the…

Mesoscale and Nanoscale Physics · Physics 2016-12-06 Gen Long , Denis Maryenko , Junying Shen , Shuigang Xu , Jianqiang Hou , Zefei Wu , Wing Ki Wong , Tianyi Han , Jiangxiazi Lin , Yuan Cai , Rolf Lortz , Ning Wang

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

We study the quantum Hall effect (QHE) in graphene based on the current injection model. In our model, the presence of disorder, the edge-state picture, extended states and localized states, which are believed to be indispensable…

Mesoscale and Nanoscale Physics · Physics 2010-02-26 Tobias Kramer , Christoph Kreisbeck , Viktor Krueckl , Eric J Heller , Robert E Parrott , Chi-Te Liang

The unusual quantum Hall effect (QHE) in graphene is often discussed in terms of Dirac fermions moving with a linear dispersion relation. The same phenomenon will be explained in terms of the more traditional composite bosons, which move…

Superconductivity · Physics 2016-01-18 Shigeji Fujita , Akira Suzuki

Recent experiments on suspended graphene layers have indicated the crucial role of carrier mobility in the competition between Laughlin collective state and insulating state, probably of Wigner-crystal-type. Moreover, the fractional quantum…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Janusz Jacak , Lucjan Jacak

We report on the fabrication and transport studies of a single-layer graphene p-n junction. Carrier type and density in two adjacent regions are individually controlled by electrostatic gating using a local top gate and a global back gate.…

Mesoscale and Nanoscale Physics · Physics 2007-08-28 J. R. Williams , L. DiCarlo , C. M. Marcus

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
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