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The $\nu = 2/3$ fractional quantum Hall state is the hole-conjugate state to the primary Laughlin $\nu = 1/3$ state. We investigate transmission of edge states through quantum point contacts fabricated on a GaAs/AlGaAs heterostructure…

介观与纳米尺度物理 · 物理学 2023-03-01 James Nakamura , Shuang Liang , Geoffrey C. Gardner , Michael J. Manfra

Recent theories suggest that the excitations of certain quantum Hall states may have exotic braiding statistics which could be used to build topological quantum gates. This has prompted an experimental push to study such states using…

介观与纳米尺度物理 · 物理学 2015-06-25 J. B. Miller , I. P. Radu , D. M. Zumbuhl , E. M. Levenson-Falk , M. A. Kastner , C. M. Marcus , L. N. Pfeiffer , K. W. West

Even-denominator fractional quantum Hall (FQH) states, such as 5/2 and 7/2, have been well known in a two-dimensional electron gas (2DEG) for decades and are still investigated as candidates of non-Abelian statistics. In this paper, we…

介观与纳米尺度物理 · 物理学 2019-09-27 Hailong Fu , Yijia Wu , Ruoxi Zhang , Jian Sun , Pujia Shan , Pengjie Wang , Zheyi Zhu , L. N. Pfeiffer , K. W. West , Haiwen Liu , X. C. Xie , Xi Lin

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

An important development in the field of the fractional quantum Hall effect has been the proposal that the 5/2 state observed in the Landau level with orbital index $n = 1$ of two dimensional electrons in a GaAs quantum well originates from…

介观与纳米尺度物理 · 物理学 2019-10-25 Youngwook Kim , Ajit C. Balram , Takashi Taniguchi , Kenji Watanabe , Jainendra K. Jain , Jurgen H. Smet

A comprehensive understanding of quantum Hall edge transmission, especially the hole-conjugate of a Laughlin state such as a $2/3$ state, is critical for advancing fundamental quantum Hall physics and enhancing the design of quantum Hall…

介观与纳米尺度物理 · 物理学 2023-01-25 M. H. Fauzi , K. Nakagawara , K. Hashimoto , N. Shibata , Y. Hirayama

The even denominator fractional quantum Hall (FQH) states $\nu=5/2$ and $\nu=7/2$ have been long predicted to host non-abelian quasiparticles (QPs). Their present energy-carrying neutral modes are hidden from customary conductance…

介观与纳米尺度物理 · 物理学 2024-08-01 Arup Kumar Paul , Priya Tiwari , Ron Melcer , Vladimir Umansky , Moty Heiblum

Even-denominator quantum Hall states are leading candidates for realizing non-Abelian topological orders, with the $\nu=\frac{5}{2}$ plateau in GaAs the first and most-studied example. Recent experiments in GaAs and bilayer graphene (BLG)…

强关联电子 · 物理学 2026-01-23 Misha Yutushui , David F. Mross

The integer and fractional quantum Hall states are known to break down at high dc bias, exhibiting deviation from the ideal incompressible behavior. We measure breakdown of the \nu = 2, 3, 4, 5 integer and the \nu = 4/3 and 5/3 fractional…

介观与纳米尺度物理 · 物理学 2015-03-26 C. Dillard , X. Lin , M. A. Kastner , L. N. Pfeiffer , K. W. West

Confinement of small-gapped fractional quantum Hall states facilitates quasiparticle manipulation and is an important step towards quasiparticle interference measurements. Demonstrated here is conduction through top gate defined, narrow…

介观与纳米尺度物理 · 物理学 2009-11-13 R. L. Willett , M. J. Manfra , L. N. Pfeiffer , K. W. West

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

Quantum point contact or QPC -- a constriction in a semiconducting two-dimensional (2D) electron system with a quantized conductance -- has been found as the building block of novel spintronic, and topological electronic circuits. They can…

At even-denominator Landau level filling fractions, such as $\nu=1/2$, the ground state, in most cases, has no energy gap, and there is no quantized plateau in the Hall conductance. Nevertheless, the states exhibit non-trivial low-energy…

介观与纳米尺度物理 · 物理学 2021-01-01 Bertrand I. Halperin

We observe geometric resonance features of composite fermions on the flanks of the even denominator {\nu} = 1/2 fractional quantum Hall state in high-mobility two-dimensional electron and hole systems confined to wide GaAs quantum wells and…

介观与纳米尺度物理 · 物理学 2015-06-15 M. A. Mueed , D. Kamburov , S. Hasdemir , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

Even-denominator fractional quantum Hall states are promising candidates for fault-tolerant quantum computing due to their underlying non-Abelian topological orders. However, the topological order of these states remains hotly debated.…

The fractional quantum Hall effect, where plateaus in the Hall resistance at values of coexist with zeros in the longitudinal resistance, results from electron correlations in two dimensions under a strong magnetic field. Current flows…

介观与纳米尺度物理 · 物理学 2015-05-13 M. Dolev , M. Heiblum , V. Umansky , Ady Stern , D. Mahalu

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

Theory predicts that quasiparticle tunneling between the counter-propagating edges in a fractional quantum Hall state can be used to measure the effective quasiparticle charge e* and dimensionless interaction parameter g, and thereby…

介观与纳米尺度物理 · 物理学 2008-05-18 Iuliana P. Radu , J. B. Miller , C. M. Marcus , M. A. Kastner , L. N. Pfeiffer , K. W. West

We show that every even-denominator fractional quantum Hall (FQH) state possesses at least two robust, topologically distinct gapless edge phases if charge conservation is broken at the boundary by coupling to a superconductor. The new edge…

强关联电子 · 物理学 2015-07-24 Maissam Barkeshli , Chetan Nayak

The fractional quantum Hall (FQH) effect is a macroscopic manifestation of strong electron-electron interactions. Even denominator FQH states (FQHSs) at half-filling are particularly interesting as they are predicted to host non-Abelian…

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