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In the absence of disorder, the degeneracy of a Landau level (LL) is $N=BA/\phi_0$, where $B$ is the magnetic field, $A$ is the area of the sample and $\phi_0=h/e$ is the magnetic flux quantum. With disorder, localized states appear at the…

无序系统与神经网络 · 物理学 2015-05-13 Chenggang Zhou , Mona Berciu

The plateau-to-plateau transition in quantum Hall effect under high magnetic fields is a celebrated quantum phase transition between two topological states through either sweeping the magnetic field or tuning the carrier density. The recent…

介观与纳米尺度物理 · 物理学 2023-02-07 Yi-Fan Zhao , Ruoxi Zhang , Ling-Jie Zhou , Ruobing Mei , Zi-Jie Yan , Moses H. W. Chan , Chao-Xing Liu , Cui-Zu Chang

We measure the chemical potential jump across the fractional gap in the low-temperature limit in the two-dimensional electron system of GaAs/AlGaAs single heterojunctions. In the fully spin-polarized regime, the gap for filling factor…

We study the behavior of the extended states of a two-dimensional electron system in silicon in a magnetic field, B. Our results show that the extended states, corresponding to the centers of different Landau levels, merge with the lowest…

凝聚态物理 · 物理学 2016-08-31 S. V. Kravchenko , Whitney Mason , J. E. Furneaux , V. M. Pudalov

We investigate non-linear magneto-transport in a Hall bar device made from a strained InGaAs/InP quantum well: a material system with attractive spintronic properties. From extensive maps of the longitudinal differential resistance (r_xx)…

无序系统与神经网络 · 物理学 2018-10-31 V. Yu , M. Hilke , P. J. Poole , S. Studenikin , D. G. Austing

We propose an approach based on a generalized quantum mechanics to deal with the basic features of the intrinsic spin Hall effect. This can be done by considering two decoupled harmonic oscillators on the noncommutative plane and evaluating…

高能物理 - 理论 · 物理学 2011-04-28 Ahmed Jellal , Rachid Houca

Measurements in very low disorder two-dimensional electrons confined to relatively wide GaAs quantum well samples with tunable density reveal reentrant $\nu=1$ integer quantum Hall states in the lowest Landau level near filling factors…

介观与纳米尺度物理 · 物理学 2012-07-20 Yang Liu , C. G. Pappas , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

The fate of integer quantum Hall effect (IQHE) at weak magnetic field is studied numerically in the presence of {\it correlated} disorders. We find a systematic {\it float-up} and {\it merging} picture for extended levels on the low-energy…

介观与纳米尺度物理 · 物理学 2007-05-23 D. N. Sheng , Z. Y. Weng , X. G. Wen

We propose an approach based on the generalized quantum mechanics to deal with the basic features of the spin Hall effect. We begin by considering two decoupled harmonic oscillators on the noncommutative plane and determine the solutions of…

高能物理 - 理论 · 物理学 2013-04-01 Kamal El Asli , Rachid Houca , Ahmed Jellal

We study the spin relaxation in an interacting two--dimensional electron gas in a strong magnetic field for the case that the electron density is close to filling just one Landau sub--level of one spin projection, i.e., for filling factor…

介观与纳米尺度物理 · 物理学 2009-10-31 W. Apel , Yu. A. Bychkov

We report complex magnetotransport patterns of the $\nu=1$ integer quantum Hall state in a GaAs/AlGaAs sample from the newest generation with a record high electron mobility. The reentrant integer quantum Hall effect in the flanks of the…

强关联电子 · 物理学 2021-10-01 S. A. Myers , Haoyun Huang , L. N. Pfeiffer , K. W. West , G. A. Csáthy

Excitation with a massive spin reversal of the individual skyrmion/antiskyrmion type is theoretically studied in a quantum Hall ferromagnet, where the zero and first Landau levels are completely occupied only by electrons with spins aligned…

强关联电子 · 物理学 2023-11-21 S. Dickmann , P. S. Berezhnoy

The quantum Hall (QH) effect in two-dimensional (2D) electrons and holes in high quality graphene samples is studied in strong magnetic fields up to 45 T. QH plateaus at filling factors $\nu=0,\pm 1,\pm 4$ are discovered at magnetic fields…

介观与纳米尺度物理 · 物理学 2009-11-11 Y. Zhang , Z. Jiang , J. P. Small , M. S. Purewal , Y. -W. Tan , M. Fazlollahi , J. D. Chudow , J. A. Jaszczak , H. L. Stormer , P. Kim

We have investigated the Hall resistance $R_H$ near the plateau-insulator transition of a two-dimensional electron gas in the quantum critical regime. High-field magnetotransport data taken on a low-mobility InGaAs/InP heterostructure with…

介观与纳米尺度物理 · 物理学 2009-11-11 D. T. N. de Lang , L. A. Ponomarenko , A. de Visser , A. M. M. Pruisken

Emergence of higher spin relativistic fermionic materials becomes a new favorite in the study of condensed matter physics. Massive Rarita-Schwinger 3/2-spinor was known owning very exotic properties, such as the superluminal fermionic modes…

量子气体 · 物理学 2016-09-26 Xi Luo , Feng Tang , Xiangang Wan , Yue Yu

The scarcity of the fractional quantum Hall effect in higher Landau levels is a most intriguing fact when contrasted with its great abundance in the lowest Landau level. This paper shows that a suppression of the hard core repulsion in…

介观与纳米尺度物理 · 物理学 2009-10-31 V. W. Scarola , Kwon Park , J. K. Jain

Recently, a zero Hall conductance plateau with random domains is experimentally observed in quantum anomalous Hall (QAH) effect. We study the effects of random domains on the zero Hall plateau in QAH insulators. We find the structure…

介观与纳米尺度物理 · 物理学 2019-01-23 Chui-Zhen Chen , Haiwen Liu , X. C. Xie

The spectrum of charged particles in translation-invariant systems in a magnetic field is characterized by the Landau levels, which play a fundamental role in the thermodynamic and transport properties of solids. The topological nature and…

介观与纳米尺度物理 · 物理学 2023-10-02 Isac Sahlberg , Moein N. Ivaki , Kim Pöyhönen , Teemu Ojanen

We report on an observation of a fractional quantum Hall effect in an ultra-high quality two-dimensional hole gas hosted in a strained Ge quantum well. The Hall resistance reveals precisely quantized plateaus and vanishing longitudinal…

介观与纳米尺度物理 · 物理学 2015-11-18 Q. Shi , M. A. Zudov , C. Morrison , M. Myronov

We report new experimental data on the plateau-insulator transition in the quantum Hall regime, taken from a low mobility InGaAs/InP heterostructure. By employing the fundamental symmetries of the quantum transport problem we are able to…

介观与纳米尺度物理 · 物理学 2015-06-24 A. M. M. Pruisken , D. T. N. de Lang , L. A. Ponomarenko , A. de Visser