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Recent transport experiments have established that two-dimensional electron systems with high-index partial Landau level filling, $\nu^{*} =\nu - \lbrack \nu \rbrack$, have ground states with broken orientational symmetry. In a mean-field…

Condensed Matter · Physics 2007-05-23 A. H. MacDonald , Matthew P. A. Fisher

We report the results of two fundamental transport measurements at a Landau level filling factor $\nu$ of 1/2. The well known ballistic electron transport phenomena of quenching of the Hall effect in a mesoscopic cross-junction and negative…

Condensed Matter · Physics 2009-10-28 J. E. F. Frost , C. -T. Liang , D. R. Mace , M. Y. Simmons , D. A. Ritchie , M. Pepper

In experiments on electron transport the macroscopic inhomogeneities in the sample play a fundamental role. In this paper and a subsequent one we introduce and develop a general formalism that captures the principal features of sample…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 B. Karmakar , M. R. Gokhale , A. P. Shah , B. M. Arora , D. T. N. de Lang , A. de Visser , L. A. Ponomarenko , A. M. M. Pruisken

We have studied the non-ohmic effects in the conductivity of a two-dimensional system which undergoes the crossover from weak to strong localization with decreasing electron concentration. When the electrons are removed from equilibrium…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 M. E. Gershenson , Yu. B. Khavin , D. Reuter , P. Schafmeister , A. D. Wieck

The temperature dependence of both components of the resistivity tensor $\varrho_{xx}(T)$ and $\varrho_{xy}(T)$ has been studied at T $\geq$ 4.2 K within IQHE plateaux around filling factors \nu=2 and \nu=4 of medium- -mobility GaAs/AlGaAs…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 P. Svoboda , G. Nachtwei , C. Breitlow , S. Heide , M. Cukr

The experimental observation of the long-sought quantum anomalous Hall effect was recently reported in magnetically doped topological insulator thin films [Chang et al., Science 340, 167 (2013)]. An intriguing observation is a rapid…

Mesoscale and Nanoscale Physics · Physics 2013-10-04 Hai-Zhou Lu , An Zhao , Shun-Qing Shen

The advent of new-class of high-mobility semiconducting polymers opens up a window to address fundamental issues in electrical transport mechanism such as hopping between localized states versus extended state conduction. Here, we…

Materials Science · Physics 2015-06-23 Satyaprasad P. Senanayak , A. Z. Ashar , Catherine Kanimozhi , Satish Patil , K. S. Narayan

We explore the charge transport mechanism in organic semiconductors based on a model that accounts for the thermal intermolecular disorder at work in pure crystalline compounds, as well as extrinsic sources of disorder that are present in…

Materials Science · Physics 2012-12-10 S. Ciuchi , S. Fratini

The quantum Hall effect arises from the interplay between localized and extended states that form when electrons, confined to two dimensions, are subject to a perpendicular magnetic field. The effect involves exact quantization of all the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. Ilani , J. Martin , E. Teitelbaum , J. H. Smet , D. Mahalu , V. Umansky , A. Yacoby

Using the bottom-up approach in a holographic setting, we attempt to study both the transport and thermodynamic properties of a generic system in 3+1 dimensional bulk spacetime. We show the exact 1/T and $T^2$ dependence of the longitudinal…

High Energy Physics - Theory · Physics 2013-05-29 Shesansu Sekhar Pal

We reexamine the charge transport induced by a weak electric field in two-dimensional quantum Hall systems in a finite, periodic box at very low temperatures. The resulting linear response coefficients consist of the time-independent term…

Mathematical Physics · Physics 2007-05-23 Tohru Koma

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

By designing a multi-channel millimeter Hall measurement configuration, we realize the carrier-density (locally) controllable measurement on the transport property in 2H MoS$_{2}$. We observe a linearly increased Hall conductivity and…

Mesoscale and Nanoscale Physics · Physics 2024-02-21 Chen-Huan Wu , Yida Li

Quantum Hall effect (QHE) is a macroscopic manifestation of quantized states which only occurs in confined two-dimensional electron gas (2DEG) systems. Experimentally, QHE is hosted in high mobility 2DEG with large external magnetic field…

Materials Science · Physics 2018-10-17 Gang Qiu , Yixiu Wang , Yifan Nie , Yongping Zheng , Kyeongjae Cho , Wenzhuo Wu , Peide D. Ye

High-frequency (HF) conductivity ($\sigma_{hf}$) measured by an acoustical method has been studied in GaAs/AlGaAs heterostructures in a linear and nonlinear regime on acoustic power. It has been shown that in the quantum Hall regime at…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 I. L. Drichko , A. M. Diakonov , I. Yu. Smirnov , A. V. Suslov

The role of noise in the transport properties of quantum excitations is a topic of great importance in many fields, from organic semiconductors for technological applications to light-harvesting complexes in photosynthesis. In this paper we…

Quantum Physics · Physics 2016-11-22 Stefano Iubini , Octavi Boada , Yasser Omar , Francesco Piazza

We investigate non-equilibrium transport in the reentrant integer quantum Hall phases of the second Landau level. At high currents, we observe a transition from the reentrant integer quantum Hall phases to classical Hall-conduction.…

Mesoscale and Nanoscale Physics · Physics 2015-06-30 S. Baer , C. Rössler , S. Hennel , H. C. Overweg , T. Ihn , K. Ensslin , C. Reichl , W. Wegscheider

We would like to point out that: (i) according to the edge-bulk transport models for the quantum Hall regime, the direction of low bulk conductance is actually perpendicular to that expected naively; and (ii) the values of experimental…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. J. Goldman

We present a theory of Hall effect in granular systems at large tunneling conductance $g_{T}\gg 1$. Hall transport is essentially determined by the intragrain electron dynamics, which, as we find using the Kubo formula and diagrammatic…

Mesoscale and Nanoscale Physics · Physics 2009-03-25 Maxim Yu. Kharitonov , Konstantin B. Efetov

The Hall conductivity $\sigma_{\rm xy}$ of a two-dimensional electron system is quantized in units of $e^2/h$ when the Fermi level is located in the mobility gap between two Landau levels. We consider the deviation of $\sigma_{\rm xy}$ from…

Condensed Matter · Physics 2009-10-22 M. M. Fogler , B. I. Shklovskii