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A quantum Hall system which is divided into two laterally coupled subsystems by means of a tunneling barrier exhibits a complex Landau level dispersion. Magnetotunneling spectroscopy is employed to investigate the small energy gaps which…

Mesoscale and Nanoscale Physics · Physics 2008-02-05 Matthias Habl , Werner Wegscheider

We study the effects of disorder on the quantum Hall stripe phases in half-filled high Landau levels using exact numerical diagonalization. We show that, in the presence of weak disorder, a compressible, striped charge density wave, becomes…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 D. N. Sheng , Ziqiang Wang , B. Friedman

We study dynamics of electrons in a magnetic field using a network model with two channels per link with random mixing in a random intrachannel potential; the channels represent either two Landau levels or two spin states. We consider…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 V. Kagalovsky , B. Horovitz , Y. Avishai

In the strong magnetic field fractional quantum Hall regime, electrons in a two-dimensional electron system are confined to their lowest Landau level. Because of the macroscopic Landau level degeneracy nearly all physical properties at low…

Condensed Matter · Physics 2009-10-28 A. H. MacDonald

An effective Hamiltonian approach is used to study the effect of Landau-level mixing on the energy spectrum of electrons in a smooth but random magnetic field B(r) with a finite uniform component B_0. It is found that, as opposed to…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 M. C. Chang , M. F. Yang , T. M. Hong

The low-temperature magnetoresistance of parabolic quantum wells displays pronounced minima between integer filling factors. Concomitantly the Hall effect exhibits overshoots and plateau-like features next to well-defined ordinary quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. Ellenberger , B. Simovic , R. Leturcq , T. Ihn , S. E. Ulloa , K. Ensslin , D. C. Driscoll , A. C. Gossard

We study the quantum Hall states in the lowest Landau level for a single wide quantum well. Due to a separation of charges to opposite sides of the well, a single wide well can be modelled as an effective two level system. We provide…

Condensed Matter · Physics 2009-10-28 M. Abolfath , L. Belkhir , N. Nafari

In this report we summarize a recent progress in exploration of correlated two-dimensional electron states in partially filled high Landau levels. At a mean-field Hartree-Fock level they can be described as charge-density waves, either…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Michael M. Fogler

We report results of a study of (integer) quantum Hall transitions in a single or multiple Landau levels for non-interacting electrons in disordered two-dimensional systems, obtained by projecting a tight-binding Hamiltonian to…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 R. N. Bhatt , Xin Wan

The two-dimensional electron system (2DES) is a unique laboratory for the physics of interacting particles. Application of a large magnetic field produces massively degenerate quantum levels known as Landau levels. Within a Landau level the…

Mesoscale and Nanoscale Physics · Physics 2010-05-24 O. E. Dial , R. C. Ashoori , L. N. Pfeiffer , K. W. West

Two laterally adjacent quantum Hall systems separated by an extended barrier of a thickness on the order of the magnetic length possess a complex Landau band structure in the vicinity of the line junction. The energy dispersion is obtained…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Matthias Habl , Matthias Reinwald , Werner Wegscheider , Max Bichler , Gerhard Abstreiter

Recent magnetotransport experiments on high mobility two-dimensional electron systems have revealed many-body electron states unique to high Landau levels. Among these are re-entrant integer quantum Hall states which undergo sharp…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 K. B. Cooper , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

An interacting bilayer electron system provides an extended platform to study electron-electron interaction beyond single layers. We report here experiments demonstrating that the layer densities of an asymmetric bilayer electron system…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 H. Deng , Y. Liu , I. Jo , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

We build the constraint that all electrons are in the lowest Landau level into the Chern-Simons field theory approach for the fractional quantum Hall system. We show that the constraint can be transmitted from one hierarchical state to the…

Condensed Matter · Physics 2009-10-22 Zhong-Shui Ma , Zhao-Bin Su

The entanglement entropy of $\nu=1/2$ and $\nu=9/2$ quantum Hall states in the presence of short range disorder has been calculated by direct diagonalization. Spin polarized electrons are confined to a single Landau level and interact with…

Strongly Correlated Electrons · Physics 2013-02-20 C. Balusek , B. A. Friedman , G. C. Levine , D. Luna

We review recent experimental results indicating the band flattening and Landau level merging at the chemical potential in strongly-correlated two-dimensional (2D) electron systems. In ultra-clean, strongly interacting 2D electron system in…

Strongly Correlated Electrons · Physics 2022-09-22 V. T. Dolgopolov , M. Yu. Melnikov , A. A. Shashkin , S. V. Kravchenko

The electronic structure of InAs/AlSb/GaSb quantum wells embedded in AlSb barriers and in the presence of a perpendicular magnetic field is studied theoretically within the $14$-band ${\bf k}\cdot{\bf p}$ approach without making the axial…

Materials Science · Physics 2015-09-30 X. G. Wu , M. Pang

We report the evolution of the fractional quantum Hall state (FQHS) at even-denominator filling factor $\nu=7/2$ in wide GaAs quantum wells in which electrons occupy two electric subbands. The data reveal subtle and distinct evolutions as a…

Mesoscale and Nanoscale Physics · Physics 2012-03-06 Yang Liu , J. Shabani , D. Kamburov , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

The longitudinal resistivity at transitions between integer quantum Hall states in two-dimensional electrons confined to AlAs quantum wells is found to depend on the spin orientation of the partially-filled Landau level in which the Fermi…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 K. Vakili , Y. P. Shkolnikov , E. Tutuc , N. C. Bishop , E. P. De Poortere , M. Shayegan

In the absence of disorder, the degeneracy of a Landau level (LL) is $N=BA/\phi_0$, where $B$ is the magnetic field, $A$ is the area of the sample and $\phi_0=h/e$ is the magnetic flux quantum. With disorder, localized states appear at the…

Disordered Systems and Neural Networks · Physics 2015-05-13 Chenggang Zhou , Mona Berciu