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The energy gaps appearing in the fractional quantum Hall effect (FQHE) remain an essential aspect of the investigation. Moreover, the plateau widths in the Hall resistance have been considered simply an effect of disorder as in the integral…

介观与纳米尺度物理 · 物理学 2022-07-26 Jongbae Hong

The fractional quantum Hall effect has been considered as a puzzling quantum many-body phenomenon that has yet to be fully explained. The plateau width and excitation energy gap are particularly problematic. We report here that those two…

介观与纳米尺度物理 · 物理学 2022-07-26 Jongbae Hong

Determining plateau widths and energy gaps is the remaining task to fully understand the electron transport that gives the fractional quantum Hall effect at the lowest Landau level (LLL). We report that this determination is given by the…

强关联电子 · 物理学 2022-07-26 Jongbae Hong

The fractional quantum Hall effect (FQHE) stands as a quintessential manifestation of an interacting two-dimensional electron system. One of FQHE's most fundamental characteristics is the energy gap separating the incompressible ground…

介观与纳米尺度物理 · 物理学 2021-08-04 K. A. Villegas Rosales , P. T. Madathil , Y. J. Chung , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

The present theory has investigated the FQHE without any quasi-particle. The electric field due to the Hall voltage is taken into consideration. We find the ground state where the electron configuration is uniquely determined so as to have…

介观与纳米尺度物理 · 物理学 2016-03-30 Shosuke Sasaki

The fractional quantum Hall effect (FQHE) occurs at certain magnetic field strengths B*(n) in a two-dimensional electron gas of density n at strong magnetic fields perpendicular to the plane of the electron gas. At these magnetic fields…

凝聚态物理 · 物理学 2007-05-23 O. Heinonen , M. I. Lubin , M. D. Johnson

The fractional quantum Hall (FQH) effect is a canonical example of electron-electron interactions producing new ground states in many-body systems. Most FQH studies have focused on the lowest Landau level (LL), whose fractional states are…

We report observation of the fractional quantum Hall effect (FQHE) in high mobility multi-terminal graphene devices, fabricated on a single crystal boron nitride substrate. We observe an unexpected hierarchy in the emergent FQHE states that…

介观与纳米尺度物理 · 物理学 2011-06-17 C. R. Dean , A. F. Young , P. Cadden-Zimansky , L. Wang , H. Ren , K. Watanabe , T. Taniguchi , P. Kim , J. Hone , K. L. Shepard

Charge fractionalization is a possible emergent excitation in a low-dimensional system of interacting electrons. A known example is that of fractional charges in the fractional quantum Hall effect (FQHE) regime, which is a consequence of…

介观与纳米尺度物理 · 物理学 2013-10-31 Hiroyuki Inoue , Anna Grivnin , Nissim Ofek , Izhar Neder , Moty Heiblum , Vladimir Umansky , Diana Mahalu

Fractional Quantum Hall effect (FQHE) is a unique many-body phenomenon, which was discovered in a two-dimensional electron system placed in a strong perpendicular magnetic field. It is entirely due to the electron-electron interactions…

介观与纳米尺度物理 · 物理学 2022-07-15 Vadym Apalkov , Tapash Chakraborty

We study the quantum self-organization of interacting particles in one-dimensional(1D) many-body systems, modeled via Hubbard chains with short-range interactions between the particles. We show the emergence of 1D states with density-wave…

强关联电子 · 物理学 2021-04-06 Ioannis Kleftogiannis , Ilias Amanatidis

It has been well-known that topological phenomena with fractional excitations, i.e., the fractional quantum Hall effect (FQHE) \cite{Tsui1982} will emerge when electrons move in Landau levels. In this letter, we report the discovery of the…

强关联电子 · 物理学 2011-07-13 D. N. Sheng , Zheng-Cheng Gu , Kai Sun , L. Sheng

While the integer quantum Hall effect of composite fermions manifests as the prominent fractional quantum Hall effect (FQHE) of electrons, the FQHE of composite fermions produces further, more delicate states, arising from a weak residual…

强关联电子 · 物理学 2015-01-14 Ajit C. Balram , Csaba Tőke , A. Wójs , J. K. Jain

The fractional quantum Hall (FQH) effect arises from strong electron correlations in a quantising magnetic field, and features exotic emergent phenomena such as electron fractionalisation. Using the diagrammatic Monte Carlo approach with…

强关联电子 · 物理学 2026-03-16 Ben Currie , Evgeny Kozik

The fractional quantum Hall effect (FQHE) is theoretically investigated, with numerical and algebraic approaches, in assemblies of a few spinful ultracold neutral fermionic atoms, interacting via repulsive contact potentials and confined in…

量子气体 · 物理学 2020-10-20 Constantine Yannouleas , Uzi Landman

We consider the issue of the appropriate underlying wavefunction describing the enigmatic 5/2 fractional quantum Hall effect (FQHE), the only even denominator FQHE unambiguously observed in a single layer two dimensional (2D) electron…

介观与纳米尺度物理 · 物理学 2014-11-21 S. Das Sarma , G. Gervais , Xiaoqing Zhou

We present a different approach to the fractional quantum Hall effect (FQHE), focusing it as a consequence of the change in the symmetry of the Hamiltonian of every electron in a two-dimensional electron gas (2DEG) under the application of…

介观与纳米尺度物理 · 物理学 2013-11-20 M. A. Hidalgo

We observe fractional quantum Hall effect (FQHE) at the even-denominator Landau level filling factor $\nu=1/2$ in two-dimensional hole systems confined to GaAs quantum wells of width 30 to 50 nm and having bilayer-like charge distributions.…

介观与纳米尺度物理 · 物理学 2014-09-30 Yang Liu , A. L. Graninger , S. Hasdemir , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin , R. Winkler

It is shown that the description of the FQHE as condensation of the electron system into a ground state with fractionally charged excitations is incompatible with experimental observations. The nature of the Hall voltage in fractional…

介观与纳米尺度物理 · 物理学 2007-05-23 Reinhold Brueckner

We present an approach to the fractional quantum Hall effect observed in grapheme (GFQHE), basing us on the model developed previously for the fractional quantum Hall effect in a two-dimensional electron system embedded in a quantum well…

介观与纳米尺度物理 · 物理学 2015-07-20 M. A. Hidalgo
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