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We present high frequency measurements of the diagonal conductivity sigma_xx of a two dimensional electron system in the integer quantum Hall regime. The width of the sigma_xx peaks between QHE minima is analyzed within the framework of…

介观与纳米尺度物理 · 物理学 2009-10-31 F. Hohls , U. Zeitler , R. J. Haug , K. Pierz

We have measured the complex conductivity $\sigma_{xx}$ of a two-dimensional electron system in the quantum Hall regime up to frequencies of 6 GHz at electron temperatures below 100 mK. Using both its imaginary and real part we show that…

介观与纳米尺度物理 · 物理学 2009-10-31 F. Hohls , U. Zeitler , R. J. Haug

The question of the universality of the longitudinal peak conductivity at the integer quantum Hall transition is considered. For this purpose, a system of 2D Dirac fermions with random mass characterised by variance $g$ is proposed as a…

介观与纳米尺度物理 · 物理学 2009-10-30 K. Ziegler , G. Jug

A two-dimensional quantum Hall system is studied for a wide class of potentials including single-body random potentials and repulsive electron-electron interactions. We assume that there exists a non-zero excitation gap above the ground…

介观与纳米尺度物理 · 物理学 2007-05-23 Tohru Koma

We measure the longitudinal conductivity $\sigma_{xx}$ at frequencies $1.246 {\rm GHz} \le f \le 10.05$ GHz over a range of temperatures $235 {\rm mK} \le T \le 4.2$ K with particular emphasis on the Quantum Hall plateaus. We find that…

介观与纳米尺度物理 · 物理学 2009-10-31 R. M. Lewis , J. P. Carini

We measure the Hall conductivity, $\sigma_{xy}$, on a Corbino geometry sample of a high-mobility AlGaAs/GaAs heterostructure in a pulsed magnetic field. At a bath temperature about 80 mK, we observe well expressed plateaux in $\sigma_{xy}$…

介观与纳米尺度物理 · 物理学 2007-05-23 V. T. Dolgopolov , A. A. Shashkin , J. M. Broto , H. Rakoto , S. Askenazy

We have revealed from a numerical study that the optical Hall conductivity $\sigma_{xy}(\omega)$ has a characteristic feature even in the ac ($\sim$ THz) regime in that the Hall plateaus are retained both in the ordinary two-dimensional…

介观与纳米尺度物理 · 物理学 2009-09-16 Takahiro Morimoto , Yasuhiro Hatsugai , Hideo Aoki

Recently unusual integer quantum Hall effect was observed in graphene in which the Hall conductivity is quantized as $\sigma_{xy}=(\pm 2, \pm 6, \pm 10, >...) \times \frac{e^2}{h}$, where $e$ is the electron charge and $h$ is the Planck…

无序系统与神经网络 · 物理学 2007-05-23 Yasumasa Hasegawa , Mahito Kohmoto

The frequency dependent transport is investigated for a two-dimensional disordered system under QHE conditions. The real and imaginary parts of the conductivity are calculated numerically in linear response using a recursive Green function…

介观与纳米尺度物理 · 物理学 2007-05-23 A. Bäker , L. Schweitzer

It is shown that the statements about the observation of the transitions between the insulating phase and the integer quantum Hall effect phases with the quantized Hall conductivity $\sigma_{xy}^{q}$ $\geq 3e^{2}/h$ made in a number of…

介观与纳米尺度物理 · 物理学 2015-05-18 S. S. Murzin

The discovery of the quantum Hall effect (QHE) in 1980 marked a turning point in condensed matter physics: given appropriate experimental conditions, the Hall conductivity {\sigma}_xy of a two-dimensional (2D) electron system is exactly…

介观与纳米尺度物理 · 物理学 2023-06-13 Johannes Gooth , Stanislaw Galeski , Tobias Meng

We investigate dynamical scaling properties in the integer quantum Hall effect for non-interacting electrons at zero temperature, by means of the frequency-induced peak broadening of the dissipative longitudinal conductivity…

凝聚态物理 · 物理学 2007-05-23 Y. Avishai , J. M. Luck

Experimental data available in the literature for peak values of the diagonal resistivity in the transitions between fractional quantum Hall states are compared with the theoretical predictions. It is found that the majority of the peak…

介观与纳米尺度物理 · 物理学 2009-11-13 S. S. Murzin

Optical Hall conductivity $\sigma_{xy}(\omega)$ is measured from the Faraday rotation for a GaAs/AlGaAs heterojunction quantum Hall system in the terahertz frequency regime. The Faraday rotation angle ($\sim$ fine structure constant $\sim$…

介观与纳米尺度物理 · 物理学 2015-03-13 Yohei Ikebe , Takahiro Morimoto , Ryuichi Masutomi , Tohru Okamoto , Hideo Aoki , Ryo Shimano

We show that, at low temperatures, macroscopic inhomogeneities of the electron density in the interior of a finite sample cause a reduction in the measured conductivity peak heights $\sigma_{xx}^{\rm max}$ compared to the universal values…

凝聚态物理 · 物理学 2009-10-28 I. M. Ruzin , N. R. Cooper , B. I. Halperin

We have investigated temperature dependence of the longitudinal conductivity $\sigma_{xx}$ at integer filling factors $\nu =i$ for Si/SiGe heterostructure in the quantum Hall effect regime. It is shown that for odd $i$, when the Fermi level…

介观与纳米尺度物理 · 物理学 2009-11-10 I. Shlimak , V. Ginodman , M. Levin , M. Potemski , D. K. Maude , K. -J. Friedland , D. J. Paul

We have studied the conductivity peak in the transition region between the two lowest integer Quantum Hall states using transmission measurements of edge magnetoplasmons. The width of the transition region is found to increase linearly with…

介观与纳米尺度物理 · 物理学 2009-10-31 N. Q. Balaban , U. Meirav , I. Bar-Joseph

The dynamical transport properties near the integer quantum Hall transition are investigated at zero temperature by means of the Dirac fermion approach. These properties have been studied experimentally at low frequency omega and low…

介观与纳米尺度物理 · 物理学 2009-10-31 G. Jug , K. Ziegler

We study numerically conductance fluctuations near the integer quantum Hall effect plateau transition. The system is presumed to be in a mesoscopic regime, with phase coherence length comparable to the system size. We focus on a…

介观与纳米尺度物理 · 物理学 2016-08-31 Sora Cho , Matthew P. A. Fisher

High frequency (hf) conductivity in the form $\sigma^{hf} = \sigma_1^{hf} - i\sigma_2^{hf}$ was obtained from the measurement of Surface Acoustic Waves (SAW) attenuation and velocity (f=30 MHz) in GaAs/AlGaAs heterostructures ($n=1.3-7\cdot…

介观与纳米尺度物理 · 物理学 2007-05-23 I. L. Drichko , A. M. Diakonov , V. D. Kagan , I. Yu. Smirnov , A. I. Toropov
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