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Related papers: Quantum Breakdown of the Quantized Hall Insulator

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A two-dimensional quantum Hall system is studied for a wide class of potentials including single-body random potentials and repulsive electron-electron interactions. We assume that there exists a non-zero excitation gap above the ground…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Tohru Koma

We show that fully-localized, three-dimensional, time-reversal-symmetry-broken insulators do not belong to a single phase of matter but can realize topologically distinct phases that are labelled by integers. The phase transition occurs…

Mesoscale and Nanoscale Physics · Physics 2026-02-18 Bastien Lapierre , Titus Neupert , Luka Trifunovic

We study the plateaux of the integer quantum Hall resistance in a bilayer electron system in tilted magnetic fields. In a narrow range of tilt angles and at certain magnetic fields, the plateau level deviates appreciably from the quantized…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 E. V. Deviatov , A. A. Shashkin , V. T. Dolgopolov , H. -J. Kutschera , A. Wixforth , K. L. Campman , A. C. Gossard

We demonstrate a programmable quantum Hall circuit that implements a novel iterative voltage bisection scheme and allows obtaining any binary fraction $(k/2^n)$ of the fundamental resistance quantum $R_K/2=h/2e^2$. The circuit requires a…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 Zahra Sadre Momtaz , Stefan Heun , Giorgio Biasiol , Stefano Roddaro

Hall and diagonal resistances of bilayer fractional quantum Hall systems are discussed theoretically. The bilayers have electrodes attached separately to each layer. They are assumed to be coupled weakly by interlayer tunneling, while the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Daijiro Yoshioka , Kentaro Nomura

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

At low temperatures observations of the Hall resistance for Quantum Hall systems at the interface between two Hall plateaux reveal a power-law behaviour, dR_xy/dB ~ T^(-p) (with p = 0.42 +/- 0.01); changing at still smaller temperatures, T…

High Energy Physics - Theory · Physics 2012-07-05 Allan Bayntun , C. P. Burgess

We have performed low-temperature transport measurements on a disordered two-dimensional electron system (2DES). Features of the strong localization leading to the quantum Hall effect are observed after the 2DES undergoes a direct…

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

Recently,a half-quantized Hall conductance (HQHC) plateau is experimentally observed in a semi-magnetic topological insulator heterostructure. However,the heterostructure is metallic with a nonzero longitudinal conductance, which…

Mesoscale and Nanoscale Physics · Physics 2022-09-14 Humian Zhou , Hailong Li , Dong-Hui Xu , Chui-Zhen Chen , Qing-Feng Sun , X. C. Xie

Quantum Hall edge states in proximity to a superconductor (SC) usually acquire a non-quantized electron-to-hole conversion probability in transport, due to non-universal SC couplings and disorders. With counter-propagating modes, we show…

Mesoscale and Nanoscale Physics · Physics 2026-01-26 Pok Man Tam , Hao Chen , Biao Lian

Instability of quantum anomalous Hall (QAH) effect has been studied as function of electric current and temperature in ferromagnetic topological insulator thin films. We find that a characteristic current for the breakdown of the QAH effect…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 Minoru Kawamura , Ryutaro Yoshimi , Atsushi Tsukazaki , Kei S. Takahashi , Masashi Kawasaki , Yoshinori Tokura

We present a theory for the regime of coherent interlayer tunneling in a disordered quantum Hall bilayer at total filling factor one, allowing for the effect of static vortices. We find that the system consists of domains of polarized…

Mesoscale and Nanoscale Physics · Physics 2011-07-06 D. K. K. Lee , P. R. Eastham , N. R. Cooper

Weak topological insulators have an even number of Dirac cones in their surface spectrum and are thought to be unstable to disorder, which leads to an insulating surface. Here we argue that the presence of disorder alone will not localize…

Mesoscale and Nanoscale Physics · Physics 2012-02-17 Roger S. K. Mong , Jens H. Bardarson , Joel E. Moore

We have measured the quantum critical behavior of the plateau-insulator (PI) transition in a low-mobility InGaAs/GaAs quantum well. The longitudinal resistivity measured for two different values of the electron density follows an…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 L. A. Ponomarenko , D. T. N. de Lang , A. de Visser , D. Maude , B. N. Zvonkov , R. A. Lunin , A. M. M. Pruisken

We present a model of dissipative transport in the fractional quantum Hall regime. Our model takes account of tunneling through saddle points in the effective potential for excitations created by impurities. We predict the temperature range…

Mesoscale and Nanoscale Physics · Physics 2011-03-28 N. d'Ambrumenil , B. I. Halperin , R. H. Morf

In this work we present a set of microscopic U(1)xU(1) models which realize insulating phases with a quantized Hall conductivity \sigma_{xy}. The models are defined in terms of physical degrees of freedom, and can be realized by local…

Strongly Correlated Electrons · Physics 2015-06-12 Scott D. Geraedts , Olexei I. Motrunich

We study magnetotransport in a high mobility Si two-dimensional electron system by in situ tilting of the sample relative to the magnetic field. A pronounced dip in the longitudinal resistivity is observed during the Landau level crossing…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Tohru Okamoto , Kohei Sasaki , Kiyohiko Toyama , Ryuichi Masutomi , Kentarou Sawano , Yasuhiro Shiraki

We study the possible breakdown of quantum thermalization in a model of itinerant electrons on a one-dimensional chain without disorder, with both spin and charge degrees of freedom. The eigenstates of this model exhibit peculiar properties…

Statistical Mechanics · Physics 2017-02-20 James R. Garrison , Ryan V. Mishmash , Matthew P. A. Fisher

By numerical exact diagonalization techniques, we obtain the quantum phase diagram of the lattice fractional quantum Hall (FQH) systems in the presence of quenched disorder. By implementing an array of local potential traps representing the…

Strongly Correlated Electrons · Physics 2012-05-16 Shuo Yang , Kai Sun , S. Das Sarma