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In the quantum Hall effect (QHE) regime, heat is carried by electrons in the edge states of Landau levels. Here, we study cooling of hot electrons propagating along the edge of graphene at the filling factor $\nu=\pm2$, mediated by acoustic…

介观与纳米尺度物理 · 物理学 2017-09-06 Sergey Slizovskiy , Vladimir I. Fal'ko

Based on very general arguments we show that for any geometry of the experiment, in the regime when the measurement leads to a quantized Hall conductivity, almost the entire current injected into the sample is carried by the bulk states.…

凝聚态物理 · 物理学 2007-05-23 K. Tsemekhman , V. Tsemekhman , C. Wexler , D. J. Thouless

We study the influence of short-range electron-electron interactions on scaling behavior near the integer quantum Hall plateau transitions. Short-range interactions are known to be irrelevant at the renormalization group fixed point which…

介观与纳米尺度物理 · 物理学 2009-10-31 Ziqiang Wang , Matthew P. A. Fisher , S. M. Girvin , J. T. Chalker

We analyze the conductance fluctuations observed in the quantum Hall regime for a bulk two-dimensional electron system in a Corbino geometry. We find that characteristics like the power spectral density and the temperature dependence agree…

介观与纳米尺度物理 · 物理学 2009-11-07 F. Hohls , U. Zeitler , R. J. Haug

The quantum Hall effect is observed in a two-dimensional electron gas formed in millimeter-scale hydrogenated graphene, with a mobility less than 10 $\mathrm{cm^{2}/V\cdot s}$ and corresponding Ioffe-Regel disorder parameter…

The quantum Hall effect is investigated in a high-mobility two-dimensional electron gas on the surface of a cylinder. The novel topology leads to a spatially varying filling factor along the current path. The resulting inhomogeneous…

介观与纳米尺度物理 · 物理学 2010-11-01 K. -J. Friedland , A. Siddiki , R. Hey , H. Kostial , A. Riedel , D. K. Maude

We study the Coulomb drag between two spatially separated electron systems in a strong magnetic field, one of which exhibits the quantum Hall effect. At a fixed temperature, the drag mimics the behavior of $\sigma_{xx}$ in the quantum Hall…

凝聚态物理 · 物理学 2009-10-22 Efrat Shimshoni , S. L. Sondhi

Quantized anomalous Hall effects (QAHEs) occur in remarkable electronic states which possess not only quantized Hall signals but in some cases regions of dissipationless electron transport. The initial demonstrations of a QAHE in a…

We have performed magnetotransport experiments in the high-temperature regime (up to 50 K) of the integer quantum Hall effect for two-dimensional electron gases in semiconducting heterostructures. While the magnetic field dependence of the…

介观与纳米尺度物理 · 物理学 2013-08-23 M. Flöser , B. A. Piot , C. L. Campbell , D. K. Maude , M. Henini , R. Airey , Z. R. Wasilewski , S. Florens , T. Champel

Recent developments in the scaling theory of the integer quantum Hall effect are discussed. In particular, the influence of electron-electron interactions on the critical behavior are studied. It is further argued that recent experiments on…

介观与纳米尺度物理 · 物理学 2009-10-31 Bodo Huckestein , Michael Backhaus

Recent work on the temperature-driven delocalization in the quantum Hall regime is reviewed, with emphasis on the role of electron-electron interactions and the correlation properties of disorder. We have stressed (i) the crucial role of…

凝聚态物理 · 物理学 2007-05-23 D. G. Polyakov

We present a simple classification of the different liquid and solid phases of quantum Hall systems in the limit where the Coulomb interaction between the electrons is significant, i.e. away from integral filling factors. This…

介观与纳米尺度物理 · 物理学 2007-05-23 M. O. Goerbig , C. Morais Smith

In a quantum Hall interferometer, the dependence of the signal on source-drain voltage is controlled by details of the edge physics, such as the velocities of edge modes and the interaction between them and with screening layers. Such…

介观与纳米尺度物理 · 物理学 2024-08-30 Zezhu Wei , D. E. Feldman , Bertrand I. Halperin

The quantum Hall plateau transition was studied at temperatures down to 1 mK in a random alloy disordered high mobility two-dimensional electron gas. A perfect power-law scaling with \kappa=0.42 was observed from 1.2K down to 12mK. This…

介观与纳米尺度物理 · 物理学 2015-05-13 Wanli Li , C. L. Vicente , J. S. Xia , W. Pan , D. C. Tsui , L. N. Pfeiffer , K. W. West

The quantum anomalous Hall effect (QAHE) realizes dissipationless longitudinal resistivity and quantized Hall resistance without the need of an external magnetic field. However, when reducing the device dimensions or increasing the current…

介观与纳米尺度物理 · 物理学 2024-12-30 Gertjan Lippertz , Andrea Bliesener , Anjana Uday , Lino M. C. Pereira , A. A. Taskin , Yoichi Ando

Specific heat has had an important role in the study of superfluidity and superconductivity, and could provide important information about the fractional quantum Hall effect as well. However, traditional measurements of the specific heat of…

介观与纳米尺度物理 · 物理学 2017-06-14 B. A. Schmidt , K. Bennaceur , S. Gaucher , G. Gervais , L. N. Pfeiffer , K. W. West

We have performed a metrological characterization of the quantum Hall resistance in a 1 $\mu$m wide graphene Hall-bar. The longitudinal resistivity in the center of the $\nu=\pm 2$ quantum Hall plateaus vanishes within the measurement noise…

介观与纳米尺度物理 · 物理学 2008-12-10 A. J. M. Giesbers , G. Rietveld , E. Houtzager , U. Zeitler , R. Yang , K. S. Novoselov , A. K. Geim , J. C. Maan

Quantum anomalous Hall (QAH) insulators exhibit chiral dissipationless edge states without an external magnetic field, making them a promising material for quantum metrology and microwave applications. However, the breakdown of the…

介观与纳米尺度物理 · 物理学 2025-05-30 Torsten Röper , Daniel Rosenbach , Achim Rosch , Alexey A. Taskin , Yoichi Ando , Erwann Bocquillon

We report an investigation of quantum Hall induced currents by simultaneous measurements of their magnetic moment and their effect on the conductance of a quantum point contact (QPC). Features in the magnetic moment and QPC resistance are…

介观与纳米尺度物理 · 物理学 2015-05-19 M. J. Smith , C. D. H. Williams , A. Usher , A. S. Sachrajda , A. Kam , Z. R. Wasilewski

A theory of integer quantum Hall effect(QHE) in realistic systems based on von Neumann lattice is presented. We show that the momentum representation is quite useful and that the quantum Hall regime(QHR), which is defined by the propagator…

凝聚态物理 · 物理学 2009-10-28 K. Ishikawa , N. Maeda , K. Tadaki