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Edge reconstruction of gate-tunable compressible quantum Hall fluids in the filling fraction range 1/3 to 2/3 is studied by measuring transmitted conductance of two individually excited fractional $e^2/3h$ edge modes of bulk 2/3 fractional…

Effects of backward scattering between fractional quantum Hall (FQH) edge modes are studied. Based on the edge-state picture for hierarchical FQH liquids, we discuss the possibility of the transitions between different plateaux of the…

凝聚态物理 · 物理学 2009-10-31 Ken-Ichiro Imura

We investigated the behavior of fractional quantum Hall (FQH) states in a two-dimensional electron system with layer thickness and an in-plane magnetic field. Our comparisons across various filling factors within the first Landau level…

强关联电子 · 物理学 2024-03-26 Dan Ye , Chen-Xin Jiang , Zi-Xiang Hu

We develop a simple kinetic equation description of edge state dynamics in the fractional quantum Hall effect (FQHE), which allows us to examine in detail equilibration processes between multiple edge modes. As in the integer quantum Hall…

凝聚态物理 · 物理学 2009-10-28 C. L. Kane , Matthew P. A. Fisher

The fractional quantum Hall (FQH) effect gives rise to abundant topological phases, presenting an ultimate platform for studying the transport of edge states. Generic FQH edge contains multiple edge modes, commonly including the…

介观与纳米尺度物理 · 物理学 2024-07-03 Misha Yutushui , Jinhong Park , Alexander D. Mirlin

Two-terminal conductance quantization in the context of quantum Hall (QH) physics is intimately related to the current carried by a discrete number of chiral edge modes. Upon pinching off a QH bar, one may engineer setups where some modes…

介观与纳米尺度物理 · 物理学 2025-07-02 Sourav Manna , Ankur Das , Yuval Gefen , Moshe Goldstein

Two dimensional electron systems exhibiting the fractional quantum Hall effects are characterized by a quantized Hall conductance and a dissipationless bulk. The transport in these systems occurs only at the edges where gapless excitations…

介观与纳米尺度物理 · 物理学 2009-11-10 Yogesh N. Joglekar , Hoang K. Nguyen , Ganpathy Murthy

We experimentally study equilibration between edge states, co-propagating at the edge of the fractional quantum Hall liquid, at high initial imbalances. We find an anomalous increase of the conductance between the fractional edge states at…

介观与纳米尺度物理 · 物理学 2007-05-23 E. V. Deviatov , A. A. Kapustin , V. T. Dolgopolov , A. Lorke , D. Reuter , A. D. Wieck

The edge structure of a gate-defined compressible quantum Hall fluids in the filling fraction range 2/3 to 1 is studied using the three reconstructed $e^2/3h$ fractional edge modes of unity filling integer quantum Hall state. We find that…

介观与纳米尺度物理 · 物理学 2025-09-19 Suvankar Purkait , Tanmay Maiti , Pooja Agarwal , Suparna Sahoo , Giorgio Biasiol , Lucia Sorba , Biswajit Karmakar

We revisit the physics of hole-conjugate Fractional Quantum Hall (FQH) phases characterized by counter-propagating edge channels at filling factors above 1/2. We propose a minimal and intuitive model that successfully accounts for all…

介观与纳米尺度物理 · 物理学 2024-12-05 D. Christian Glattli , Charles Boudet , Avirup De , Preden Roulleau

The edge structure of the $\nu=2/3$ fractional quantum Hall state has been studied for several decades but recent experiments, exhibiting upstream neutral mode(s), a plateau at a Hall conductance of $\frac{1}{3}( e^2/h)$ through a quantum…

强关联电子 · 物理学 2013-12-24 Jianhui Wang , Yigal Meir , Yuval Gefen

Protected edge modes are the cornerstone of topological states of matter. The simplest example is provided by the integer quantum Hall state at Landau level filling unity, which should feature a single chiral mode carrying electronic…

介观与纳米尺度物理 · 物理学 2021-04-07 Udit Khanna , Moshe Goldstein , Yuval Gefen

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

Since the charged mode is much faster than the neutral modes on quantum Hall edges at large filling factors, the edge may remain out of equilibrium in thermal conductance experiments. This sheds light on the observed imperfect quantization…

介观与纳米尺度物理 · 物理学 2019-03-04 Ken K. W. Ma , D. E. Feldman

The interplay of electron-electron interaction and confining potential can lead to the reconstruction of fractional quantum Hall edges. We have performed exact diagonalization studies on microscopic models of fractional quantum Hall…

介观与纳米尺度物理 · 物理学 2009-11-10 Xin Wan , E. H. Rezayi , Kun Yang

Semiconducting transition-metal dichalcogenides (TMDs) exhibit high mobility, strong spin-orbit coupling, and large effective masses, which simultaneously leads to a rich wealth of Landau quantizations and inherently strong electronic…

Constrictions in fractional quantum Hall (FQH) systems not only facilitate backscattering between counter-propagating edge modes, but also may reduce the constriction filling fraction $\nu_c$ with respect to the bulk filling fraction…

介观与纳米尺度物理 · 物理学 2013-05-29 Bernd Rosenow , Bertrand I. Halperin

We have observed in a low density two-dimensional hole system (2DHS) of extremely high quality (with hole density p=1.6x10^{10} cm^{-2} and mobility \mu=0.8x10^6 cm^2/Vs) that, as the 2DHS is continuously tilted with respect to the…

介观与纳米尺度物理 · 物理学 2009-11-10 W. Pan , G. A. Csathy , D. C. Tsui , L. N. Pfeiffer , K. W. West

We study theoretically edge transport of a fractional quantum Hall liquid, in the presence of a quantum dot inside the Hall bar with well controlled electron density and Landau level filling factor \nu, and show that such transport studies…

强关联电子 · 物理学 2013-04-19 Hsin-Hua Lai , Kun Yang

The nature of the fractional quantum Hall state with filling factor $\nu=2/3$ and its edge modes continues to remain an open problem in low-dimensional condensed matter physics. Here, we suggest an experimental setting to probe the…

强关联电子 · 物理学 2022-12-20 Hendrik Meier , Yuval Gefen , Leonid I. Glazman
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