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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…

介观与纳米尺度物理 · 物理学 2013-12-24 J. Shabani , Y. Liu , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

The evolution of the fractional quantum Hall state at filling 5/2 is studied in density tunable two-dimensional electron systems formed in wide wells in which it is possible to induce a transition from single to two subband occupancy. In 80…

介观与纳米尺度物理 · 物理学 2012-04-16 J. Nuebler , B. Friess , V. Umansky , B. Rosenow , M. Heiblum , K. v. Klitzing , J. Smet

We numerically study the fractional quantum Hall effect at filling factors $\nu=12/5$ and 13/5 (the particle-hole conjugate of 12/5) in high-quality two-dimensional GaAs heterostructures via exact diagonalization including finite well width…

强关联电子 · 物理学 2016-08-08 Kiryl Pakrouski , Matthias Troyer , Yang-Le Wu , Sankar Das Sarma , Michael R. Peterson

In the extreme quantum limit, when the Landau level filling factor $\nu<1$, the dominant electron-electron interaction in low-disorder two-dimensional electron systems leads to exotic many-body phases. The ground states at even-denominator…

介观与纳米尺度物理 · 物理学 2025-02-26 Chengyu Wang , P. T. Madathil , S. K. Singh , A. Gupta , Y. J. Chung , L. N. Pfeiffer , K. W. Baldwin , M. Shayegan

The Landau level mixing is the key in understanding the mysterious $5/2$ fractional quantum Hall effect in GaAs quantum well. Theoretical calculations with and without Landau level mixing show striking differences. However, the way to deal…

强关联电子 · 物理学 2024-05-08 Wenchen Luo , Muaath Abdulwahab , Xiang Liu , Hao Wang

Single-component fractional quantum Hall states (FQHSs) at even-denominator filling factors may host non-Abelian quasiparticles that are considered to be building blocks of topological quantum computers. Such states, however, are rarely…

介观与纳米尺度物理 · 物理学 2024-01-01 Chengyu Wang , A. Gupta , S. K. Singh , P. T. Madathil , Y. J. Chung , L. N. Pfeiffer , K. W. Baldwin , R. Winkler , M. Shayegan

When a gas of electrons is confined to two dimensions, application of a strong magnetic field may lead to startling phenomena such as emergence of electron pairing. According to a theory this manifests itself as appearance of the fractional…

介观与纳米尺度物理 · 物理学 2008-11-21 H. Saarikoski , E. Tolo , A. Harju , E. Rasanen

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…

凝聚态物理 · 物理学 2009-10-28 M. Abolfath , L. Belkhir , N. Nafari

We report drastically different onset temperatures of the reentrant integer quantum Hall states in the second and third Landau level. This finding is in quantitative disagreement with the Hartree-Fock theory of the bubble phases which is…

强关联电子 · 物理学 2015-06-11 N. Deng , J. D. Watson , L. P. Rokhinson , M. J. Manfra , G. A. Csáthy

In the framework of a recently developed model of interacting composite fermions, we calculate the energy of different solid and Laughlin-type liquid phases of spin-polarized composite fermions. The liquid phases have a lower energy than…

介观与纳米尺度物理 · 物理学 2007-05-23 M. O. Goerbig , P. Lederer , C. Morais Smith

By means of exact diagonalization we study the low-energy states of seven electrons in the lowest Landau level which are confined by a cylindric external potential modelling the rest of a macroscopic system and thus controlling the filling…

凝聚态物理 · 物理学 2009-10-28 V. A. Kashurnikov , N. V. Prokof'ev , B. V. Svistunov , I. S. Tupitsyn

Reports of weak local minima in the magnetoresistance at $\nu=2+3/5$, $2+3/7$, $2+4/9$, $2+5/9$, $2+5/7$, and $2+5/8$ in the second Landau level of the electron gas in GaAs/AlGaAs left open the possibility of fractional quantum Hall states…

强关联电子 · 物理学 2018-06-27 V. Shingla , E. Kleinbaum , A. Kumar , L. N. Pfeiffer , K. W. West , G. A. Csathy

Recent magnetotransport measurements in low-disorder electron systems confined to GaAs/AlGaAs samples revealed that the $\nu = 1$ integer quantum Hall plateau is broken into three distinct regions. These three regions were associated with…

介观与纳米尺度物理 · 物理学 2025-09-19 Haoyun Huang , Waseem Hussain , S. A. Myers , L. N. Pfeiffer , K. W. West , G. A. Csáthy

Magnetotransport measurements on two-dimensional electrons confined to wide GaAs quantum wells reveal a remarkable evolution of the ground state at filling factor $\nu=1/2$ as we tilt the sample in the magnetic field. Starting with a…

介观与纳米尺度物理 · 物理学 2015-06-08 Sukret Hasdemir , Yang Liu , H. Deng , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

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…

介观与纳米尺度物理 · 物理学 2009-10-31 Rudolf H. Morf

On the basis of energy calculations we investigate the competition between quantum-liquid and electron-solid phases in the Landau levels n=1,2, and 3 as a function of their partial filling factor. Whereas the quantum-liquid phases are…

介观与纳米尺度物理 · 物理学 2007-05-23 M. O. Goerbig , P. Lederer , C. Morais Smith

We have studied the $\nu=5/2$ fractional quantum Hall state in a density-tunable sample at extremely low electron densities. For the densities accessed in our experiment, the Landau level mixing parameter $\kappa$ spans the…

介观与纳米尺度物理 · 物理学 2017-08-08 N. Samkharadze , Dohyung Ro , L. N. Pfeiffer , K. W. West , G. A. Csáthy

While the simplest quantum Hall plateaus, such as the $\nu = 1/3$ state in GaAs, can be conveniently analyzed by assuming only a single active Landau level participates, for many phases the spin, valley, bilayer, subband, or higher Landau…

强关联电子 · 物理学 2015-01-16 Michael P. Zaletel , Roger S. K. Mong , Frank Pollmann , Edward H. Rezayi

Fractional quantum Hall states (FQHSs) exemplify exotic phases of low-disorder two-dimensional (2D) electron systems when electron-electron interaction dominates over the thermal and kinetic energies. Particularly intriguing among the FQHSs…

介观与纳米尺度物理 · 物理学 2022-10-10 Chengyu Wang , A. Gupta , S. K Singh , Y. J. Chung , L. N. Pfeiffer , K. W. West , K. W. Baldwin , R. Winkler , M. Shayegan

We report the first unambiguous observation of a fractional quantum Hall state in the Landau level of a two-dimensional hole sample at the filling factor $\nu=8/3$. We identified this state by a quantized Hall resistance and an activated…

介观与纳米尺度物理 · 物理学 2015-05-19 A. Kumar , N. Samkharadze , M. J. Manfra , G. A. Csathy , L. N. Pfeiffer , K. W. West