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Physics of two-dimensional electron gases under perpendicular magnetic field often displays three distinct stages when increasing the field amplitude: a low field regime with classical magnetotransport, followed at intermediate field by a…

Mesoscale and Nanoscale Physics · Physics 2019-06-17 Thierry Champel , Serge Florens

We derive the effective Hamiltonian for the composite fermion in double-layer quantum Hall systems with inter-layer tunneling at total Landau-level filling factor $\nu=1/m$, where $m$ is an integer. We find that the ground state is the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Takao Morinari

We present in this Letter the results from two high quality, low density GaAs quantum wells. In sample A of electron density n=5.0x10^10 cm^-2, anisotropic electronic transport behavior was observed at \nu=7/2 in the second Landau level. We…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 W. Pan , A. Serafin , J. S. Xia , L. Yin , N. S. Sullivan , K. W. Baldwin , K. W. West , L. N. Pfeiffer , D. C. Tsui

The reduction of the energy gap due to Landau level mixing, characterized by the dimensionless parameter $\lambda = (e^2/\epsilon l_0)/\hbar\omega_c$, has been calculated by variational Monte Carlo for the fractional quantum Hall effect at…

Condensed Matter · Physics 2009-10-28 V. Melik-Alaverdian , N. E. Bonesteel

The observation of new insulating phases of two-dimensional electrons in the first excited Landau level is reported. These states, which are manifested as re-entrant integer quantized Hall effects, exist alongside well-developed…

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

The single-particle spectral function for an incompressible fractional quantum Hall state in the presence of a scalar short-ranged attractive impurity potential is calculated via exact diagonalization within the spherical geometry. In…

Strongly Correlated Electrons · Physics 2015-06-17 Kelly R. Patton , Michael R. Geller

We show that the recently discovered double-valley splitting of the low-lying Landau level(s) in the Quantum Hall Effect in graphene can be explained as perturbative orbital interaction of intra- and inter-valley microscopic orbital…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Igor A. Luk'yanchuk , Alexander M. Bratkovsky

An inaccuracy of composite fermion model is identified for Landau level fillings out of 1/p, p odd. The corrected version of hierarchy for fractional quantum Hall effect is proposed by mapping onto integer effect within the cyclotron braid…

Mesoscale and Nanoscale Physics · Physics 2011-04-19 J. Jacak , L. Jacak

We report an experimental investigation of fractional quantum Hall effect (FQHE) at the even-denominator Landau level filling factor $\nu$ = 1/2 in very high quality wide GaAs quantum wells, and at very high magnetic fields up to 45 T. The…

Mesoscale and Nanoscale Physics · Physics 2013-12-24 J. Shabani , Y. Liu , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

The quantum Hall conductance of a disordered two-dimensional gas of non-interacting electrons is re-examined for its integrity against disorder in the limit of no mixing between different Landau levels. The exact one-electron eigenstates of…

Condensed Matter · Physics 2007-05-23 N. Kumar

We propose a geometric mechanism for fractional quantum Hall states based on impurity-induced correlations within a Landau level. A correlated distribution of ionized impurities partially modifies the Landau-level degeneracy through…

Mesoscale and Nanoscale Physics · Physics 2026-05-15 M. A. Hidalgo

Spin splitting in the integer quantum Hall effect is investigated for a series of Al$_{x}$Ga$_{1-x}$As/GaAs heterojunctions and quantum wells. Magnetoresistance measurements are performed at mK temperature to characterize the electronic…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 B. A. Piot , D. K. Maude , M. Henini , Z. R. Wasilewski , K. J. Friedland , R. Hey , K. H. Ploog , A. I. Toropov , R. Airey , G. Hill

By making use of the generalized Landau level representation (GLLR) for the quasiparticle propagator, we study the effect of screening on the properties of the quantum Hall states with integer filling factors in graphene. The analysis is…

Mesoscale and Nanoscale Physics · Physics 2016-01-29 Igor A. Shovkovy , Lifang Xia

Quantum Hall effect (QHE), the ground to construct modern conceptual electronic systems with emerging physics, is often much influenced by the interplay between the host two-dimensional electron gases and the substrate, sometimes predicted…

We give a simple macroscopic phase-space explanation of fractional quantum Hall effect (FQHE), in a fashion reminiscent of the Landau-Ginsburg macroscopic symmetry breaking analyses. This is in contrast to the more complicated microscopic…

Mesoscale and Nanoscale Physics · Physics 2021-08-10 F. A Buot , G. Maglasang , A. R. F. Elnar , C. M. Galon

The interplay between interaction and disorder-induced localization is of fundamental interest. This article addresses localization physics in the fractional quantum Hall state, where both interaction and disorder have nonperturbative…

Mesoscale and Nanoscale Physics · Physics 2022-03-17 Songyang Pu , G. J. Sreejith , J. K. Jain

We study two dimensional electron systems confined in wide quantum wells whose subband separation is comparable with the Zeeman energy. Two N = 0 Landau levels from different subbands and with opposite spins are pinned in energy when they…

Mesoscale and Nanoscale Physics · Physics 2024-02-27 Wenlu Lin , Xing Fan , Lili Zhao , Yoon Jang Chung , Adbhut Gupta , Kirk W. Baldwin , Loren Pfeiffer , Hong Lu , Yang Liu

We have measured the Hall-plateau width and the activation energy of the bilayer quantum Hall (BLQH) states at the Landau-level filling factor $\nu=1$ and 2 by tilting the sample and simultaneously changing the electron density in each…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Sawada , Z. F. Ezawa , H. Ohno , Y. Horikoshi , A. Urayama , Y. Ohno , S. Kishimoto , F. Matsukura , N. Kumada

We present a microscopic theory of zero-temperature order parameter and pseudospin stiffness reduction due to quantum fluctuations in the ground state of double-layer quantum Hall ferromagnets. Collective excitations in this systems are…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yogesh N. Joglekar , Allan H. MacDonald

We investigate spontaneous interlayer phase coherence and the occurrence of the quantum Hall effect in triple-layer electron systems. Our work is based on a simple tight-binding model that greatly facilitates calculations and whose accuracy…

Condensed Matter · Physics 2009-10-28 C. B. Hanna , A. H. MacDonald
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