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Related papers: Quantum Hall effect in single wide quantum wells

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At small layer separations, the ground state of a nu=1 bilayer quantum Hall system exhibits spontaneous interlayer phase coherence and has a charged-excitation gap E_g. The evolution of this state with increasing layer separation d has been…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 John Schliemann , S. M. Girvin , A. H. MacDonald

The Landau level mixing is the key in understanding the mysterious $5/2$ fractional quantum Hall effect in GaAs quantum well. Theoretical calculations with and without Landau level mixing show striking differences. However, the way to deal…

Strongly Correlated Electrons · Physics 2024-05-08 Wenchen Luo , Muaath Abdulwahab , Xiang Liu , Hao Wang

In recent experiments, external anisotropy has been a useful tool to tune different phases and study their competitions. In this paper, we look at the quantum Hall charge density wave states in the $N=2$ Landau level. Without anisotropy,…

Strongly Correlated Electrons · Physics 2021-06-15 Yuchi He , Kang Yang , Mark Oliver Goerbig , Roger S. K. Mong

Two-dimensional systems in magnetic fields host rich physics, most notably the quantum Hall effect arising from Landau level quantization. In a broad class of two-dimensional models, flat bands with topologically nontrivial band…

Mesoscale and Nanoscale Physics · Physics 2025-09-26 Soujanya Datta , Krishanu Roychowdhury

The quantum spin Hall (QSH) state, observed in a zero magnetic field in HgTe quantum wells, respects the time-reversal symmetry and is distinct from quantum Hall (QH) states. We show that the QSH state persists in strong quantizing fields…

Mesoscale and Nanoscale Physics · Physics 2010-04-23 G. Tkachov , E. M. Hankiewicz

We consider a bi-layer electronic system at a total Landau level filling factor nu =1, and focus on the transition from the regime of weak inter-layer coupling to that of the strongly coupled (1,1,1) phase (or ''quantum Hall ferromagnet'').…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Ady Stern , B. I. Halperin

Quantum Hall effect (QHE), the ground to construct modern conceptual electronic systems with emerging physics, is often much influenced by the interplay between the host two-dimensional electron gases and the substrate, sometimes predicted…

The quantum Hall effect emerges when two-dimensional samples are subjected to strong magnetic fields at low temperatures: Topologically protected edge states cause a quantized Hall conductivity in multiples of $e^2/h$. Here we show that the…

Strongly Correlated Electrons · Physics 2024-10-11 Börge Göbel , Ingrid Mertig

In higher Landau levels (N>0) and around filling factors nu =4N+1, a two-dimensional electron gas in a double-quantum-well system supports a stripe groundstate in which the electron density in each well is spatially modulated. When a…

Mesoscale and Nanoscale Physics · Physics 2009-06-09 R. Cote , H. A. Fertig , J. Bourassa , D. Bouchiha

We consider magnetotransport in a disordered two-dimensional electron gas in the presence of a periodic modulation in one direction. Existing quasiclassical and quantum approaches to this problem account for Weiss oscillations in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 G. Schwiete , D. Taras-Semchuk , K. B. Efetov

The quantum Hall effect (QHE) is a topologically protected phenomenon which has been observed in various systems. In experiments, the size of Hall bar device to realize the QHE is generally much larger than the phase coherence length, in…

Mesoscale and Nanoscale Physics · Physics 2022-10-03 Fang Jing-Yun , Guo Ai-Min , Sun Qing-Feng

A two-layer system coupled via tunneling and with different carrier masses in each layer is investigated in the integer quantum Hall regime. Striking deviations of the one-layer Hall conductivity from the usual quantization are found, if…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. L. Chudnovskiy , S. E. Ulloa

The nature of the state at low Landau-level filling factors has been a longstanding puzzle in the field of the fractional quantum Hall effect. While theoretical calculations suggest that a crystal is favored at filling factors $\nu\lesssim…

Strongly Correlated Electrons · Physics 2020-08-20 Zheng-Wei Zuo , Ajit C. Balram , Songyang Pu , Jianyun Zhao , Thierry Jolicoeur , A. Wójs , J. K. Jain

The average electron spin-polarization $\cal P$ of two-dimensional electron gas confined in $\rm GaAs/GaAlAs$ multiple quantum-wells was measured by nuclear magnetic resonance (NMR) near the fractional quantum Hall state with filling factor…

Mesoscale and Nanoscale Physics · Physics 2019-08-17 N. Freytag , Y. Tokunaga , M. Horvatic , C. Berthier , M. Shayegan , L. Levy

We numerically study the fractional quantum Hall effect at filling factors $\nu=12/5$ and 13/5 (the particle-hole conjugate of 12/5) in high-quality two-dimensional GaAs heterostructures via exact diagonalization including finite well width…

Strongly Correlated Electrons · Physics 2016-08-08 Kiryl Pakrouski , Matthias Troyer , Yang-Le Wu , Sankar Das Sarma , Michael R. Peterson

We consider the influence of an external periodic potential on the fractional quantum Hall effect of two-dimensional interacting electron systems. For many electrons on a torus, we find that the splitting of incompressible ground state…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Daniela Pfannkuche , Allan H. MacDonald

We determine the energy splitting of the conduction-band valleys in two-dimensional electrons confined to low-disorder Si quantum wells. We probe the valley splitting dependence on both perpendicular magnetic field $B$ and Hall density by…

In Landau levels N > 1, the ground state of the two-dimensional electron gas (2DEG) in a perpendicular magnetic field evolves from a Wigner crystal for small filling of the partially filled Landau level, into a succession of bubble states…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 R. Cote , C. Doiron , J. Bourassa , H. A. Fertig

The plateau phase transition in quantum anomalous Hall (QAH) insulators corresponds to a quantum state wherein a single magnetic domain gives way to multiple magnetic domains and then re-converges back to a single magnetic domain. The layer…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Deyi Zhuo , Ling-Jie Zhou , Yi-Fan Zhao , Ruoxi Zhang , Zi-Jie Yan , Annie G. Wang , Moses H. W. Chan , Chao-Xing Liu , Chui-Zhen Chen , Cui-Zu Chang

First-order phase transitions produce abrupt changes to the character of both ground and excited electronic states. Here we conduct electronic compressibility measurements to map the spin phase diagram and Landau level (LL) energies of…

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