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Three-body correlations, which arise between spin-polarized electrons in the first excited Landau level, are believed to play a key role in the emergence of enigmatic non-Abelian fractional quantum Hall (FQH) effects. Inspired by recent…

Strongly Correlated Electrons · Physics 2018-12-12 Ching Hua Lee , Wen Wei Ho , Bo Yang , Jiangbin Gong , Zlatko Papić

The fractional quantum Hall (FQH) effect is reported in a high mobility CdTe quantum well at mK temperatures. Fully-developed FQH states are observed at filling factor 4/3 and 5/3 and are found to be both spin-polarized ground state for…

Mesoscale and Nanoscale Physics · Physics 2010-08-16 B. A. Piot , J. Kunc , M. Potemski , D. K. Maude , C. Betthausen , A. Vogl , D. Weiss , G. Karczewski , T. Wojtowicz

We investigate the ground state properties of fractional quantum Hall effect at the filling factor $\nu=2/3$ and $2+2/3$, with a special focus on their typical edge physics. Via topological characterization scheme in the framework of…

Strongly Correlated Electrons · Physics 2022-05-04 Liangdong Hu , W. Zhu

By means of finite size exact diagonalization we theoretically study the electronic many-body effects on the nearly flat-band structure with time-reversal symmetry in a checkerboard lattice model and identify the topological nature of two…

Strongly Correlated Electrons · Physics 2014-08-12 Wei Li , D. N. Sheng , C. S. Ting , Yan Chen

It is commonly assumed in the studies of the fractional quantum Hall effect that the physics of a fractional quantum Hall state, in particular the character of its excitations, is invariant under a continuous deformation of the Hamiltonian…

Strongly Correlated Electrons · Physics 2010-06-24 Csaba Toke , Jainendra K. Jain

Using toric Cartan matrices as abelian gauge charges, we present a class of stringy fractional quantum Hall effect (FQHE) producing some recent experimental observed filling factor values. More precisely, we derive the corresponding…

High Energy Physics - Theory · Physics 2015-07-10 A. Belhaj , Z. Benslimane , M. El Idrissi , B. Manaut , A. Sebbar , M. B. Sedra

In this paper we propose a model of the fractional quantum Hall effect within conventional one-dimensional bosonization. It is shown that in this formalism the resulting bosonized fermion operator corresponding to momenta of Landau gauge…

Strongly Correlated Electrons · Physics 2012-11-09 Vladimir A. Zyuzin

We investigate spontaneous interlayer phase coherence and the occurrence of the quantum Hall effect in triple-layer electron systems. Our work is based on a simple tight-binding model that greatly facilitates calculations and whose accuracy…

Condensed Matter · Physics 2009-10-28 C. B. Hanna , A. H. MacDonald

We analyse various microscopic properties of the nematic fractional quantum Hall effect (FQHN) in the thermodynamic limit, and present necessary conditions required of the microscopic Hamiltonians for the nematic FQHE to be robust.…

Strongly Correlated Electrons · Physics 2020-09-09 Bo Yang

Fascinating structures have arisen from the study of the fractional quantum Hall effect (FQHE) at the even denominator fraction of $5/2$. We consider the FQHE at another even denominator fraction, namely $\nu=2+3/8$, where a well-developed…

Strongly Correlated Electrons · Physics 2022-04-12 Ajit C. Balram

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…

Mesoscale and Nanoscale Physics · Physics 2022-07-15 Vadym Apalkov , Tapash Chakraborty

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

Fractional quantum Hall states are the most prominent example of states with topological order, hosting excitations with fractionalized charge. Recent experiments in twisted $\text{MoTe}_2$ and graphene-based heterostructures provided…

Mesoscale and Nanoscale Physics · Physics 2025-02-06 Fabian Pichler , Wilhelm Kadow , Clemens Kuhlenkamp , Michael Knap

We study a 1D lattice Hamiltonian, relevant for a wide range of interesting physical systems like, e.g., the quantum-Hall system, cold atoms or molecules in optical lattices, and TCNQ salts. Through a tuning of the interaction parameters…

Strongly Correlated Electrons · Physics 2012-10-29 Emma Wikberg

There is convincing numerical evidence that fractional quantum Hall (FQH)-like ground states arise in fractionally filled Chern bands (FCB). Here we show that the Hamiltonian theory of Composite Fermions (CF) can be as useful in describing…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Ganpathy Murthy , R. Shankar

The eigenstates of interacting electrons in the fractional quantum Hall phase typically form fairly well defined bands in the energy space. We show that the composite fermion theory gives insight into the origin of these bands and provides…

Condensed Matter · Physics 2009-10-22 G. Dev , J. K. Jain

We present a comprehensive numerical study of a microscopic model of the fractional quantum Hall system at filling fraction $\nu = 5/2$, based on the disc geometry. Our model includes Coulomb interaction and a semi-realistic confining…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Xin Wan , Zi-Xiang Hu , E. H. Rezayi , Kun Yang

The interplay between spontaneous symmetry breaking and topology can result in exotic quantum states of matter. A celebrated example is the quantum anomalous Hall (QAH) state, which exhibits an integer quantum Hall effect at zero magnetic…

The fractional quantum Hall effect (FQHE) is extensively studied, but the explanation for Hall plateau widths and excitation energy gaps remains elusive. We study the effective theory of FQHE built upon experimental inputs of Hall current…

Mesoscale and Nanoscale Physics · Physics 2022-07-26 Jongbae Hong , Soo-Jong Rey

Impacts of domain textures on low-lying neutral excitations in the bulk of fractional quantum Hall effect (FQHE) systems are probed by resonant inelastic light scattering. We demonstrate that large domains of quantum fluids support…

Mesoscale and Nanoscale Physics · Physics 2022-01-11 Ziyu Liu , Ursula Wurstbauer , Lingjie Du , Ken W. West , Loren N. Pfeiffer , Michael J. Manfra , Aron Pinczuk
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