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We study magnetic quantum Hall systems in a half-plane with Dirichlet boundary conditions along the edge. Much work has been done on the analysis of the currents associated with states whose energy is located between Landau levels. These…

数学物理 · 物理学 2014-02-20 Peter D. Hislop , Nicolas Popoff , Eric Soccorsi

We present nonlocal resistance measurements in an ultra high mobility two dimensional electron gas. Our experiments show that even at weak magnetic fields classical guiding along edges leads to a strong non local resistance on macroscopic…

介观与纳米尺度物理 · 物理学 2012-12-11 A. D. Chepelianskii , J. Laidet , I. Farrer , D. A. Ritchie , K. Kono , H. Bouchiat

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…

介观与纳米尺度物理 · 物理学 2009-09-29 R. Cote , C. Doiron , J. Bourassa , H. A. Fertig

Anisotropic states at half-filled third and higher Landau levels are investigated in the system with a finite electric current. We study the response of the striped Hall state and the anisotropic charge density wave (ACDW) state against the…

介观与纳米尺度物理 · 物理学 2009-01-13 Kazumi Tsuda

The influence of microwave radiation (1.2-140 GHz) on resistance of high-mobility two-dimensional electron gas in GaAs quantum wells is studied. Two series of microwave-induced magnetoresistance oscillations periodic in 1/B were observed…

介观与纳米尺度物理 · 物理学 2007-05-23 A. A. Bykov , A. V. Goran , D. R. Islamov , A. K. Bakarov , Jing-qiao Zhang , Sergey Vitkalov

We investigate the fate of the quantum Hall extended states within a continuum model with spatially correlated disorder potentials. The model can be projected onto a couple of the lowest Landau bands. Levitation of the $n=0$ critical states…

介观与纳米尺度物理 · 物理学 2009-11-10 Th. Koschny , L. Schweitzer

Effect of dc electric field on transport of highly mobile 2D electrons is studied in wide GaAs single quantum wells placed in titled magnetic fields. The study shows that in perpendicular magnetic field resistance oscillates due to electric…

介观与纳米尺度物理 · 物理学 2016-07-06 William Mayer , Sergey Vitkalov , A. A. Bykov

We demonstrate experimentally that in an asymmetric quantum well in presence of quantizing magnetic field tilted in XZ plane, confining potential V(z) lifts Landau level degeneracy related to position of the centers of electron cyclotron…

介观与纳米尺度物理 · 物理学 2010-04-14 S. A. Emelyanov

For high-mobility two-dimensional electrons at a GaAs/AlGaAs heterojunction, we have studied, both experimentally and theoretically, the recently discovered giant magnetoresistance oscillations with nearly zero resistance in the oscillation…

介观与纳米尺度物理 · 物理学 2009-11-10 S. I. Dorozhkin

We study theoretically the nonlinear optical response of disordered electrons in the regime of weak (anti)localization. Our analytical and numerical calculations reveal that, in orthogonal/symplectic class systems, two consecutive, phase…

介观与纳米尺度物理 · 物理学 2025-07-11 Zi-Long Li , Xiao-Hui Li , Yuan Wan

We report on the experimental observation of the quantum oscillations in microwave magnetoabsorption of a high-mobility two-dimensional electron gas induced by Landau quantization. Using original resonance-cavity technique, we observe two…

介观与纳米尺度物理 · 物理学 2010-06-03 O. M. Fedorych , M. Potemski , S. A. Studenikin , J. A. Gupta , Z. R. Wasilewski , I. A. Dmitriev

Spatial non-homogeneities can synchronize clusters of spatially-extended oscillators in different frequency plateaus. Motivated by physiological rhythms, we fully characterize the phase diagram of a Ginzburg-Landau (GL) model with a…

斑图形成与孤子 · 物理学 2025-09-22 Marie Sellier-Prono , Massimo Cencini , David Kleinfeld , Massimo Vergassola

We systematically study the acousto-current of two-dimensional electron systems in the integer and fractional quantum Hall regimes using surface acoustic waves. We are able to separate the co-existing acoustic scattering and drag, when…

介观与纳米尺度物理 · 物理学 2026-01-27 Renfei Wang , Xiao Liu , Mengmeng Wu , Yoon Jang Chung , Adbhut Gupta , Kirk W. Baldwin , Mansour Shayegan , Loren Pfeiffer , Xi Lin , Yang Liu

The stationary Schr\"odinger equation for an electron in a constant electromagnetic field with a non-Hermitian linear perturbation is studied. The wave function and the spectrum of the system are derived analytically, with the spectrum…

介观与纳米尺度物理 · 物理学 2025-05-15 Jorge A. Lizarraga , Kenan Uriostegui

At total Landau level filling factor $\nu_{tot}=1$ a double layer two-dimensional electron system with small interlayer separation supports a collective state possessing spontaneous interlayer phase coherence. This state exhibits the…

介观与纳米尺度物理 · 物理学 2012-08-28 M. Kellogg , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

Quantum Hall Dynamics is formulated on von Neumann lattice representation where electrons in Landau levels are defined on lattice sites and are treated systematically like lattice fermions. We give a proof of the integer Hall effect, namely…

介观与纳米尺度物理 · 物理学 2007-05-23 K. Ishikawa , N. Maeda , T. Ochiai , H. Suzuki

We investigate the effect of disorder on the Landau levels (LLs) in tilted three dimensional Weyl semimetals (WSMs) when a magnetic field is present. Based on the minimum lattice model and by using the exact diagonalization and Kubo's…

无序系统与神经网络 · 物理学 2020-02-19 Yi-Xiang Wang

We study the nonlinear energy transfer around the peak of the spectrum of surface gravity waves by taking into account nonhomogeneous effects. In the narrow-banded approximation the kinetic equation resulting from a nonhomogeneous wave…

混沌动力学 · 物理学 2009-11-07 M. Onorato , A. Osborne , M. Serio , R. Fedele

The normal-state energy spectrum of the two-dimensional $t$-$J$ model in a homogeneous perpendicular magnetic field is investigated. The density of states at the Fermi level as a function of the inverse magnetic field $\frac{1}{B}$ reveals…

强关联电子 · 物理学 2013-11-05 A. Sherman

We numerically study the quantum Hall effect in biased bilayer graphene based on a tight-binding model in the presence of disorder. Integer quantum Hall plateaus with quantized conductivity $\sigma_{xy}=\nu e^2/h$ (where $\nu$ is any…

介观与纳米尺度物理 · 物理学 2009-07-29 R. Ma , L. J. Zhu , L. Sheng , M. Liu , D. N. Sheng