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Recent experimental observations of the fractional quantum anomalous Hall effect in spin/valley polarized moir\'{e} systems call for a more expansive theoretical exploration of strongly correlated physics in partially filled topological…

Strongly Correlated Electrons · Physics 2023-12-12 Nayan Myerson-Jain , Chao-Ming Jian , Cenke Xu

Motivated by the experimental observation of a quantized 5/2 thermal conductance at filling $\nu=5/2$, a result incompatible with both the Pfaffian and the Antipfaffian states, we have pushed the expansion of the effective Hamiltonian of…

Strongly Correlated Electrons · Physics 2023-03-29 Loïc Herviou , Frédéric Mila

We present activation gap measurements of the fractional quantum Hall effect (FQHE) in the second Landau level. Signatures for 14 (5) distinct incompressible FQHE states are seen in a high (low) mobility sample with the enigmatic 5/2 even…

Mesoscale and Nanoscale Physics · Physics 2009-07-21 H. C. Choi , W. Kang , S. Das Sarma , L. N. Pfeiffer , K. W. West

The double layer $\nu=2/3$ fractional quantum Hall system is studied using the edge state formalism and finite-size diagonalization subject to periodic boundary conditions. Transitions between three different ground states are observed as…

Condensed Matter · Physics 2009-10-28 I. A. McDonald , F. D. M. Haldane

We investigate the effects of disorder in Floquet topological insulators (FTIs) occurring in semiconductor quantum wells. Such FTIs are induced by resonantly driving a transition between the valence and conduction band. We show that when…

Disordered Systems and Neural Networks · Physics 2017-08-28 Paraj Titum , Netanel H. Lindner , Gil Refael

We obtain a ``mean field'' scaling flow of the longitudinal and the Hall conductivities in the fractional quantum Hall regime. Using the composite fermion picture and assuming that the composite fermions follow the Khmelnitskii-Pruisken…

Mesoscale and Nanoscale Physics · Physics 2013-07-19 Hae-Young Kee , Yong Baek Kim , Elihu Abrahams , R. N. Bhatt

We investigate the nature of the fractional quantum Hall (FQH) state at filling factor $\nu=13/5$, and its particle-hole conjugate state at $12/5$, with the Coulomb interaction, and address the issue of possible competing states. Based on a…

Strongly Correlated Electrons · Physics 2015-09-23 W. Zhu , S. S. Gong , F. D. M. Haldane , D. N. Sheng

We present a detailed analysis of finite frequency noise for the $\nu=5/2$ fractional quantum Hall state in a quantum point contact geometry. The results are obtained within the Pfaffian and anti-Pfaffian models. We show that the behaviour…

Strongly Correlated Electrons · Physics 2012-04-30 M. Carrega , D. Ferraro , A. Braggio , N. Magnoli , M. Sassetti

Electric and thermal transport properties of a $\nu=2/3$ fractional quantum Hall junction are analyzed. We investigate the evolution of the electric and thermal two-terminal conductances, $G$ and $G^Q$, with system size $L$ and temperature…

Strongly Correlated Electrons · Physics 2017-11-03 I. V. Protopopov , Yuval Gefen , A. D. Mirlin

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

We analyze transitions between quantum Hall ground states at prominent filling factors $\nu$ in the spherical geometry by tuning the width parameter of the Zhang-Das Sarma interaction potential. We find that incompressible ground states…

Strongly Correlated Electrons · Physics 2009-11-06 Z. Papić , N. Regnault , S. Das Sarma

In the composite fermion model of the fractional quantum Hall effect, composite fermions experience, in addition to the usual potential disorder, also a magnetic flux disorder. Motivated by this, we investigate the localization properties…

Condensed Matter · Physics 2015-06-25 X. C. Xie , D. Z. Liu , J. K. Jain

We study bosonic and fermionic quantum two-leg ladders with orbital magnetic flux. In such systems, the ratio, $\nu$, of particle density to magnetic flux shapes the phase-space, as in quantum Hall effects. In fermionic (bosonic) ladders,…

Quantum Gases · Physics 2015-10-08 Eyal Cornfeld , Eran Sela

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…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. V. Deviatov , A. A. Kapustin , V. T. Dolgopolov , A. Lorke , D. Reuter , A. D. Wieck

We investigate the interplay of disorder and interaction in two-dimensional electron systems in a strong magnetic field, focusing on the transition between Wigner crystals and fractional quantum Hall liquids. We first study classical Wigner…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Ke Huang , Sankar Das Sarma , Xiao Li

The enigmatic even-denominator fractional quantum Hall state at Landau level filling factor $\nu=5/2$ is arguably the most promising candidate for harboring Majorana quasi-particles with non-Abelian statistics and thus of potential use for…

Mesoscale and Nanoscale Physics · Physics 2018-06-27 Md. Shafayat Hossain , Meng K. Ma , M. A. Mueed , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

The double Weyl semimetal (DWSM) is a newly proposed topological material that hosts Weyl points with chiral charge n=2. The disorder effect in DWSM is investigated by adopting the tight-binding Hamiltonian. Using the transfer matrix method…

Mesoscale and Nanoscale Physics · Physics 2022-11-23 Jiayan Zhang , Fei Wan , Xinru Wang , Ying Ding , Liehong Liao , Zhihui Chen , M. N. Chen , Yuan Li

Mixing of Landau levels has been understood to be essential in governing the nature of the ground state for the even-denominator fractional quantum Hall effect. The incompressibility of the ground state at filling factor $5/2$ in the strong…

Strongly Correlated Electrons · Physics 2021-10-01 Wenchen Luo , Shenglin Peng , Hao Wang , Yu Zhou , Tapash Chakraborty

We investigate the effects of static, diagonal disorder in the $d=\infty$ Hubbard model by treating the dynamical effects of local Hubbard correlations and disorder on an equal footing. This is achieved by a proper combination of the…

Strongly Correlated Electrons · Physics 2007-05-23 L. Craco , M. S. Laad , E. Müller-Hartmann

Electrons in two dimensions and strong magnetic fields effectively lose their kinetic energy and display exotic behavior dominated by Coulomb forces. When the ratio of electrons to magnetic flux quanta in the system is near 5/2, the unique…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Vivek Venkatachalam , Amir Yacoby , Loren Pfeiffer , Ken West