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We present activation gap measurements of the fractional quantum Hall effect (FQHE) in the second Landau level. Signatures for 14 (5) distinct incompressible FQHE states are seen in a high (low) mobility sample with the enigmatic 5/2 even…

Mesoscale and Nanoscale Physics · Physics 2009-07-21 H. C. Choi , W. Kang , S. Das Sarma , L. N. Pfeiffer , K. W. West

We study the influence of quantizing perpendicular magnetic fields on the ground state of a bilayer with electron and hole fluids separated by an opaque tunnel barrier. In the absence of a field, the ground state at low carrier densities is…

Mesoscale and Nanoscale Physics · Physics 2024-04-09 Bo Zou , Yongxin Zeng , A. H. MacDonald , Artem Strashko

Quantum Hall states at filling fraction $\nu$=5/2 are examined by numerical diagonalization. Spin-polarized and -unpolarized states of systems with $N\le 18$ electrons are studied, neglecting effects of Landau level mixing. We find that the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Rudolf H. Morf

The recent discovery of the 3D quantum Hall effect in $\mathrm{HfTe_5}$ has also revealed puzzling signatures of possible 3D fractionalization. Beyond the first plateau associated with the lowest Landau band, Hall conductivity exhibits a…

Mesoscale and Nanoscale Physics · Physics 2026-05-05 Jun-Hong Li , Yi-Yuan Chen , Peng-Lu Zhao , Hai-Zhou Lu , X. C. Xie

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

The nature of the state at low Landau-level filling factors has been a longstanding puzzle in the field of the fractional quantum Hall effect. While theoretical calculations suggest that a crystal is favored at filling factors $\nu\lesssim…

Strongly Correlated Electrons · Physics 2020-08-20 Zheng-Wei Zuo , Ajit C. Balram , Songyang Pu , Jianyun Zhao , Thierry Jolicoeur , A. Wójs , J. K. Jain

Among the various geometries to study the fractional quantum Hall effect in two dimensional electron gas, the Corbino disc owns the advantage to probe the bulk properties directly. In this work we explore the influence of in-plane electric…

Mesoscale and Nanoscale Physics · Physics 2018-02-06 Zheyi Zhu , Pengjie Wang , Hailong Fu , L. N. Pfeiffer , K. W. West , Rui-Rui Du , Xi Lin

We report the observation of an even-denominator fractional quantum Hall (FQH) state at $\nu=1/4$ in a high quality, wide GaAs quantum well. The sample has a quantum well width of 50 nm and an electron density of $n_e=2.55\times10^{11}$…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 D. R. Luhman , W. Pan , D. C. Tsui , L. N. Pfeiffer , K. W. Baldwin , K. W. West

In high magnetic fields ($B$), two dimensional electron systems (2DESs) can form a number of phases in which interelectron repulsion plays the central role, since the kinetic energy is frozen out by Landau quantization. These phases include…

Mesoscale and Nanoscale Physics · Physics 2015-06-09 A. T. Hatke , Yang Liu , B. A. Magill , B. H. Moon , L. W. Engel , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

It is well established that the ground states of a two-dimensional electron gas with half-filled high ($N \ge 2$) Landau levels are compressible charge-ordered states, known as quantum Hall stripe (QHS) phases. The generic features of QHSs…

Mesoscale and Nanoscale Physics · Physics 2020-03-04 X. Fu , Q. Shi , M. A. Zudov , G. C. Gardner , J. D. Watson , M. J. Manfra , K. W. Baldwin , L. N. Pfeiffer , K. W. West

Recent magneto-transport experiments on ultra-high mobility 2D electron systems in GaAs/AlGaAs heterostructures have revealed the existence of whole new classes of correlated many-electron states in highly excited Landau levels. These new…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. P. Eisenstein , M. P. Lilly , K. B. Cooper , L. N. Pfeiffer , K. W. West

In the quantum Hall effect regime, taking place in a two-dimensional-electron gas under strong magnetic field, currents flow along the edges of the sample. For some particle-hole conjugate states of the fractional regime, e.g., with filling…

Mesoscale and Nanoscale Physics · Physics 2011-04-07 Aveek Bid , Nissim Ofek , Hiroyuki Inoue , Moty Heiblum , Charles Kane , Vladimir Umansky , Diana Mahalu

I review some aspects of an alternative model of the quantum Hall effect, which is not based on the presence of disorder potentials. Instead, a quantization of the electronic drift current in the presence of crossed electric and magnetic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Tobias Kramer

The Hall-plateau width and the activation energy were measured in the bilayer quantum Hall state at filling factor \nu=2, 1 and 2/3, by changing the total electron density and the density ratio in the two quantum wells. Their behavior are…

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

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

Experiments show that at even denominator fractions (EDFs) ($\nu=1/2, 3/4, 3/2$,...) the two-dimensional electron gas in a strong magnetic field becomes compressible, has no energy gap, and demonstrates the presence of an ostensible Fermi…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 D. V. Khveshchenko

Magnetic fields quench the kinetic energy of two dimensional electrons, confining them to highly degenerate Landau levels. In the absence of disorder, the ground state at partial Landau level filling is determined only by Coulomb…

Strongly Correlated Electrons · Physics 2018-07-04 A. A. Zibrov , E. M. Spanton , H. Zhou , C. Kometter , T. Taniguchi , K. Watanabe , A. F. Young

We study the role of anisotropy on the transport properties of composite fermions near Landau level filling factor $\nu=1/2$ in two-dimensional holes confined to a GaAs quantum well. By applying a parallel magnetic field, we tune the…

Mesoscale and Nanoscale Physics · Physics 2016-07-20 M. A. Mueed , D. Kamburov , S. Hasdemir , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

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

We report ultra-low temperature experiments on the obscure fractional quantum Hall effect (FQHE) at Landau level filling factor $\nu$=5/2 in a very high mobility specimen of $\mu=1.7 \times 10^7$ cm$^2$/Vs. We achieve an electron…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 W. Pan , J. -S. Xia , V. Shvarts , E. D. Adams , H. L. Stormer , D. C. Tsui , L. N. Pfeiffer , K. W. Baldwin , K. W. West