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A novel model of complex quantum harmonic oscillator is found to account for the observed Fractional quantum Hall effect (FQHE). The sequences of the observed FQHE conductivity and charge are explained. The two sequences are found to…

Quantum Physics · Physics 2012-05-29 A. I. Arbab

In the present paper, the Bose-Hubbard model (BHM) with the nearest-neighbor (NN) repulsions is studied from the view point of possible bosonic analogs of the fractional quantum Hall (FQH) state in the vicinity of the Mott insulator (MI).…

Quantum Gases · Physics 2017-01-10 Yoshihito Kuno , Keita Shimizu , Ikuo Ichinose

We develop a theory for the pseudorelativistic fractional quantum Hall effect in graphene, which is based on a multicomponent abelian Chern-Simons theory in the fermionic functional integral approach. Calculations are performed in the…

Mesoscale and Nanoscale Physics · Physics 2018-03-21 Christian Fräßdorf

Recent proposals of topological flat band (TFB) models have provided a new route to realize the fractional quantum Hall effect (FQHE) without Landau levels. We study hard-core bosons with short-range interactions in two representative TFB…

Strongly Correlated Electrons · Physics 2011-10-03 Yi-Fei Wang , Zheng-Cheng Gu , Chang-De Gong , D. N. Sheng

In the search of fractional quantum anomalous Hall (FQAH) effect, the conventional wisdom is to start from a flat Chern band isolated from the rest of the Hilbert space by band gaps, so that many-body interaction can be projected to a…

Mesoscale and Nanoscale Physics · Physics 2025-05-13 Wenqi Yang , Dawei Zhai , Tixuan Tan , Feng-Ren Fan , Zuzhang Lin , Wang Yao

The photonic spin Hall effect (PSHE) in surface plasmon resonance (SPR) structures has great potential for various polarization-sensitive applications and devices. Here, using optical weak measurement, we observe spin-dependent and…

The energy spectra and wavefunctions of up to 14 interacting quasielectrons (QE's) in the Laughlin nu=1/3 fractional quantum Hall (FQH) state are investigated using exact numerical diagonalization. It is shown that at sufficiently high…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Arkadiusz Wojs , Kyung-Soo Yi , John J. Quinn

The spin Hall effect (SHE), which converts a charge current into a transverse spin current, has long been believed to be a phenomenon induced by the spin--orbit coupling. Here, we propose an alternative mechanism to realize the intrinsic…

Materials Science · Physics 2021-06-22 Yang Zhang , Jakub Zelezny , Yan Sun , Jeroen van den Brink , Binghai Yan

We investigate, using finite size numerical calculations, the spin-polarized fractional quantum Hall effect (FQHE) in the first excited Landau level (LL). We find evidence for the existence of an incompressible state at $\nu = \frac{7}{3} =…

Condensed Matter · Physics 2009-10-22 Lotfi Belkhir , J. K. Jain

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.…

Mesoscale and Nanoscale Physics · Physics 2014-09-30 Yang Liu , A. L. Graninger , S. Hasdemir , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin , R. Winkler

We calculate in an analyical fashion the energies and net spins of skyrmions in fractional quantum Hall systems, based on the suggestion that skyrmion states are spontaneously $L_Z$ and $S_Z$ symmetry-breaking states. The quasihole-skyrmion…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Kang-Hun Ahn , K. J. Chang

Fractional quantum Hall effect energy gaps have been measured in GaAs/GaAlAs heterojunctions as a function of Zeeman energy, which is varied by applying hydrostatic pressure up to 20 kbar. The gap at v=1/3 decreases with pressure until the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 D. R. Leadley , R. J. Nicholas , D. K. Maude , A. N. Utjuzh , J. C. Portal , J. J. Harris , C. T. Foxon

We investigate the ground state properties of a bosonic Harper-Hofstadter model with local interactions on a finite cylindrical lattice with filling fraction $\nu=1/2$. We find that our system supports topologically ordered states by…

Mesoscale and Nanoscale Physics · Physics 2019-03-12 Paolo Rosson , Michael Lubasch , Martin Kiffner , Dieter Jaksch

Strong synthetic magnetic fields have been successfully implemented in periodically driven optical lattices. However, the interplay of the driving and interactions introduces detrimental heating, and for this reason it is still challenging…

Quantum Gases · Physics 2019-12-02 Ana Hudomal , Nicolas Regnault , Ivana Vasić

Motivated by a recent experiment (Sanchez-Yamagishi et.al, arXiv:1602.06815) reporting evidence of helical spin-polarized edge states in layer-biased twisted bilayer graphene under a magnetic flux, we study the possibility of stabilising a…

Mesoscale and Nanoscale Physics · Physics 2017-07-13 F. Finocchiaro , F. Guinea , P. San-Jose

Rydberg atom arrays offer promising platforms for quantum simulation of correlated quantum matter and raise great interests. This work proposes a novel stripe-lattice model with Raman superarray of Rydberg atoms to realize bosonic…

Quantum Gases · Physics 2024-12-30 Ting-Fung Jeffrey Poon , Xin-Chi Zhou , Bao-Zong Wang , Tian-Hua Yang , Xiong-Jun Liu

The activation gap Delta of the fractional quantum Hall state at constant filling n =1/3 is measured in wide range of perpendicular magnetic field B. Despite the full spin polarization of the incompressible ground state, we observe a sharp…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 A. F. Dethlefsen , E. Mariani , H. -P. Tranitz , W. Wegscheider , R. J. Haug

The path integral approach to representing braid group is generalized for particles with spin. Introducing the notion of {\em charged} winding number in the super-plane, we represent the braid group generators as homotopically constrained…

High Energy Physics - Theory · Physics 2009-10-22 Christopher Ting , C. H. Lai

We theoretically study the intrinsic spin Hall effect in PT symmetric, spin-orbit coupled quantum gases confined in an optical lattice. The interplay of the PT symmetry and the spin-orbit coupling leads to a doubly degenerate…

Quantum Gases · Physics 2025-01-17 Hui Tang , Guan-Hua Huang , Shizhong Zhang , Zhongbo Yan , Zhigang Wu

In two-dimensional (2D) electron systems under strong magnetic fields, interactions can cause fractional quantum Hall (FQH) effects. Bringing two 2D conductors to proximity, a new set of correlated states can emerge due to interactions…

Mesoscale and Nanoscale Physics · Physics 2020-07-17 Xiaomeng Liu , Zeyu Hao , Kenji Watanabe , Takashi Taniguchi , Bertrand Halperin , Philip Kim
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