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We examine effects of inversion asymmetry of a GaAs/Al0.3Ga0.7As quantum well (QW) on electron-nuclear spin coupling in the fractional quantum Hall (QH) regime. Increasing the QW potential asymmetry at a fixed Landau-level filling factor…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Katsushi Hashimoto , Koji Muraki , Norio Kumada , Tadashi Saku , Yoshiro Hirayama

Double layer quantum Hall systems have interesting properties associated with interlayer correlations. At $\nu =1/m$ where $m$ is an odd integer they exhibit spontaneous symmetry breaking equivalent to that of spin $1/2$ easy-plane…

Condensed Matter · Physics 2009-10-22 Kun Yang , K. Moon , L. Zheng , A. H. MacDonald , S. M. Girvin , D. Yoshioka , Shou-Cheng Zhang

The critical behavior of quantum Hall transitions in two-dimensional disordered electronic systems can be described by a class of complicated, non-unitary conformal field theories with logarithmic correlations. The nature and the physical…

Disordered Systems and Neural Networks · Physics 2015-07-16 Romain Vasseur

We discuss the possibility of the quantum Hall effect at half-filled Landau level in terms of the pairing of the composite fermions. In the absence of Coulomb energy, we show that the ground state of the system is described by the {\it…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Takao Morinari

Quantum Hall states can be characterized by their chiral edge modes. Upon softening the edge potential, the edge has long been known to undergo spontaneous reconstruction driven by charging effects. In this paper we demonstrate a…

Mesoscale and Nanoscale Physics · Physics 2017-11-08 Udit Khanna , Ganpathy Murthy , Sumathi Rao , Yuval Gefen

Due to its extremely rich phase diagram, the two-dimensional electron gas exposed to perpendicular magnetic field has been the subject of intense and sustained study. One particularly interesting problem in this system is that of the…

Strongly Correlated Electrons · Physics 2020-03-24 Katherine A. Schreiber , Gábor A. Csáthy

We report electrical transport measurements in a tilted magnetic field on a high-mobility two-dimensional electron system confined at the MgZnO/ZnO heterointerface. The observation of multiple crossing events of spin-resolved Landau levels…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 D. Maryenko , J. Falson , Y. Kozuka , A. Tsukazaki , M. Kawasaki

Following a previous work [Shen, Ma, Xie and Zhang, Phys. Rev. Lett. 92, 256603 (2004)] on the resonant spin Hall effect, we present detailed calculations of the spin Hall conductance in two-dimensional quantum wells in a strong…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Shun-Qing Shen , Yun-Juan Bao , Michael Ma , X. C. Xie , Fu Chun Zhang

The long-thought charge Kondo effects have recently been experimentally realized in the quantum Hall regime. This experiment, supported by numerics, exemplifies the realization of two-channel Kondo state, a non-Fermi Liquid, and its…

Strongly Correlated Electrons · Physics 2017-08-31 Zhi-qiang Bao , Fan Zhang

The temperature dependence of electron spin polarization for a narrow quantum Hall system shows behavior analogous to that of a two-dimensional system at major filling factors. At the lowest half-filled quantum Hall state for which no…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Tapash Chakraborty , K. Niemelä , P. Pietiläinen

Termination of the fractional quantum Hall states (FQHSs) and the emergence of Wigner crystal phases at very small Landau level filling factors ($\nu$) have been of continued interest for decades. Recently, in ultra-high-quality, dilute…

Strongly Correlated Electrons · Physics 2024-11-07 Siddharth Kumar Singh , A. Gupta , P. T. Madathil , C. Wang , K. W. Baldwin , L. N. Pfeiffer , M. Shayegan

The conductance of a two-dimensional electron gas at the transition from one quantum Hall plateau to the next has sample-specific fluctuations as a function of magnetic field and Fermi energy. Here we identify a universal feature of these…

Mesoscale and Nanoscale Physics · Physics 2013-07-09 I. C. Fulga , F. Hassler , A. R. Akhmerov , C. W. J. Beenakker

The electron-electron interaction in the Landau levels of bilayer graphene is markedly different from that of conventional semiconductors such as GaAs. We show that in the zeroth Landau level of bilayer graphene, in the orbital which is…

Strongly Correlated Electrons · Physics 2022-03-15 Ajit C. Balram

The discovery of quantum Hall effect in two-dimensional (2D) electronic systems inspired the topological classifications of electronic systems1,2. By stacking 2D quantum Hall effects with interlayer coupling much weaker than the Landau…

Materials Science · Physics 2020-04-22 Pang Wang , Yafei Ren , Fangdong Tang , Peipei Wang , Tao Hou , Hualing Zeng , Liyuan Zhang , Zhenhua Qiao

We numerically study a 5/2 fractional quantum Hall system with even number of electrons using the exact diagonalization where both the strong Landau level (LL) mixing and a finite width of the quantum well have been considered and adapted…

Mesoscale and Nanoscale Physics · Physics 2023-01-04 Wenchen Luo , Wei Zhang , Yutao Hu , Hao Wang

Energy spectrum of fractional quantum Hall (FQH) states is composed of single electron energy (Landau energy) neglecting the Coulomb interactions between electrons, classical Coulomb energy and the quantum energy via quantum transitions.…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Shosuke Sasaki

In the presence of spin-orbit coupling two branches of the energy spectrum of 2D electrons get shifted in the momentum space. Application of in-plane magnetic field causes the splitting of the branches in energy. When both, spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 Rajesh K. Malla , M. E. Raikh

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

We use quantum oscillation measurements to distinguish between spin and orbital components of the lowest energy quasiparticle excitations in YBa2Cu3O6.54, each of which couple differently to a magnetic field. Our measurements reveal the…

We consider a class of interaction terms that describes correlated tunneling of composite fermions between effective Landau levels. Despite being generic and of similar strength to that of the usual density-density couplings, these terms…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Dror Orgad , Oded Agam
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