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The observation of the fractional quantum Hall (FQH) effect in 2D electron gases ushered in investigations of topological phases driven by strong electron correlations. Their remarkable features include fractionalized elementary…

We investigate a domain structure of pseudospins, a soliton lattice in the bilayer quantum Hall state at total Landau level filling factor $\nu =1$, in a tilted magnetic field, where the pseudospin represents the layer degree of freedom. An…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. Fukuda , D. Terasawa , M. Morino , K. Iwata , S. Kozumi , N. Kumada , Y. Hirayama , Z. F. Ezawa , A. Sawada

It is known experimentally that at not very large filling factors $\nu$ the quantum Hall conductivity peaks corresponding to the same Landau level number $N$ and two different spin orientations are well separated. These peaks occur at…

Condensed Matter · Physics 2009-10-28 M. M. Fogler , B. I. Shklovskii

We study here the onset of charge density wave instabilities in quantum Hall systems at finite temperature for Landau level filling $\nu>4$. Specific emphasis is placed on the role of disorder as well as an in-plane magnetic field. Beyond…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Tudor Stanescu , Ivar Martin , Philip Phillips

The charge-density-wave (CDW) mechanism of the 3D quantum Hall effect has been observed recently in ZrTe$_5$ [Tang et al., Nature 569, 537 (2019)]. Different from previous cases, the CDW forms on a one-dimensional (1D) band of Landau…

Mesoscale and Nanoscale Physics · Physics 2020-11-18 Fang Qin , Shuai Li , Z. Z. Du , C. M. Wang , Wenqing Zhang , Dapeng Yu , Hai-Zhou Lu , X. C. Xie

In high magnetic fields ($B$), two dimensional electron systems (2DESs) can form a number of phases in which interelectron repulsion plays the central role, since the kinetic energy is frozen out by Landau quantization. These phases include…

Mesoscale and Nanoscale Physics · Physics 2015-06-09 A. T. Hatke , Yang Liu , B. A. Magill , B. H. Moon , L. W. Engel , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

At the low Landau filling factor $(\nu)$ termination of the fractional quantum Hall effect (FQHE) series, two-dimensional electron systems (2DESs) exhibit an insulating phase that is understood as a form of pinned Wigner solid. Here we use…

Mesoscale and Nanoscale Physics · Physics 2015-06-09 A. T. Hatke , Y. Liu , L. W. Engel , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

Experiments on a nearly spin degenerate two-dimensional electron system reveals unusual hysteretic and relaxational transport in the fractional quantum Hall effect regime. The transition between the spin-polarized (with fill fraction $\nu =…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. Eom , H. Cho , W. Kang , K. L. Campman , A. C. Gossard , M. Bichler , W. Wegscheider

Quantum Hall ferromagnetic transitions are typically achieved by increasing the Zeeman energy through in-situ sample rotation, while transitions in systems with pseudo-spin indices can be induced by gate control. We report here a…

Mesoscale and Nanoscale Physics · Physics 2017-06-08 T. M. Lu , L. A. Tracy , D. Laroche , S. -H. Huang , Y. Chuang , Y. -H. Su , J. -Y. Li , C. W. Liu

We theoretically study the correlated insulator states, quantum anomalous Hall (QAH) states, and field-induced topological transitions between different correlated states in twisted multilayer graphene systems. Taking twisted…

Mesoscale and Nanoscale Physics · Physics 2022-06-02 Shihao Zhang , Xi Dai , Jianpeng Liu

The fractional quantum Hall effect (FQHE) at filling 5/2, which is usually understood as a $p$-wave paired state of underlying quasiparticles - composite fermions, transforms into a nematic phase under pressure \cite{csathy0, csathy}. A…

Strongly Correlated Electrons · Physics 2025-11-26 M. V. Milovanović

We extend the Composite Boson theory to study slightly im-balanced bi-layer Quantum Hall systems. In the global $ U(1) $ symmetry breaking excitonic superfluid side, as the imbalance increases, the system supports continuously changing…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Jinwu Ye

Mean-field calculations for the two dimensional electron gas (2DEG) in a large magnetic field with a partially filled Landau level with index $N\geq 2$ consistently yield ``stripe-ordered'' charge-density wave ground-states, for much the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Eduardo Fradkin , Steven A. Kivelson

We formulate the composite fermions in the presence of an in-plane magnetic field. As the in-plane field increases, if we assume the state at $\nu=5/2$ turns into the mixed state between the unidirectional charge density wave domains and…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Yue Yu , Shi-Jie Yang , Zhao-Bin Su

It is well established that the ground states of a two-dimensional electron gas with half-filled high ($N \ge 2$) Landau levels are compressible charge-ordered states, known as quantum Hall stripe (QHS) phases. The generic features of QHSs…

Mesoscale and Nanoscale Physics · Physics 2020-03-04 X. Fu , Q. Shi , M. A. Zudov , G. C. Gardner , J. D. Watson , M. J. Manfra , K. W. Baldwin , L. N. Pfeiffer , K. W. West

The inverted band structure discovered in InAs/GaSb quantum well (QW) is found to host the topological quantum spin Hall (QSH) states. A QSH insulator hosts counterpropagating spin-polarized edge states that are protected by the…

Mesoscale and Nanoscale Physics · Physics 2022-08-30 Sushmita Saha , Alestin Mawrie

The electric conductivity behavior in the single and double tunnel-coupled quantum wells (QW) with different doping profile caused by impact of short pulses of the strong longitudinal (in the quantum wells plane) electric field has been…

Mesoscale and Nanoscale Physics · Physics 2022-02-07 P. A. Belevskii , M. N. Vinoslavskii , V. V. Vainberg , O. S. Pylypchuk , V. N. Poroshin

We study two dimensional electron systems confined in wide quantum wells whose subband separation is comparable with the Zeeman energy. Two N = 0 Landau levels from different subbands and with opposite spins are pinned in energy when they…

Mesoscale and Nanoscale Physics · Physics 2024-02-27 Wenlu Lin , Xing Fan , Lili Zhao , Yoon Jang Chung , Adbhut Gupta , Kirk W. Baldwin , Loren Pfeiffer , Hong Lu , Yang Liu

We demonstrate via exact diagonalization that AA-stacked TMD homobilayers host fractional quantum anomalous Hall (FQAH) states with fractionally quantized Hall conductance at fractional fillings $n=\frac{1}{3},\, \frac{2}{3}$ and zero…

Mesoscale and Nanoscale Physics · Physics 2023-08-24 Aidan P. Reddy , Faisal F. Alsallom , Yang Zhang , Trithep Devakul , Liang Fu

We analyze density profiles for atomic quantum Hall states, which are expected to form in systems of rotating cold atoms in the high-rotation limit. For a two-dimensional (single-layer) system we predict a density landscape showing plateaus…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 N. R. Cooper , F. J. M. van Lankvelt , J. W. Reijnders , K. Schoutens
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