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We experimentally study electron transport between edge states in the fractional quantum Hall effect regime. We find an anomalous increase of the transport across the 2/3 incompressible fractional stripe in comparison with theoretical…

介观与纳米尺度物理 · 物理学 2007-05-23 E. V. Deviatov , V. T. Dolgopolov , A. Lorke , W. Wegscheider , A. D. Wieck

We experimentally study equilibration between edge states, co-propagating at the edge of the fractional quantum Hall liquid, at high initial imbalances. We find an anomalous increase of the conductance between the fractional edge states at…

介观与纳米尺度物理 · 物理学 2007-05-23 E. V. Deviatov , A. A. Kapustin , V. T. Dolgopolov , A. Lorke , D. Reuter , A. D. Wieck

Using an innovative combination of a quasi-Corbino sample geometry and the cross-gate technique, we have developed a method that enables us to separately contact single edge channels in the quantum Hall regime and investigate equilibration…

介观与纳米尺度物理 · 物理学 2009-11-07 A. Wuertz , R. Wildfeuer , A. Lorke , E. V. Deviatov , V. T. Dolgopolov

Hole-conjugate states of the fractional quantum Hall effect host counter-propagating edge channels which are thought to exchange charge and energy. These exchanges have been the subject of extensive theoretical and experimental works; in…

We develop a simple kinetic equation description of edge state dynamics in the fractional quantum Hall effect (FQHE), which allows us to examine in detail equilibration processes between multiple edge modes. As in the integer quantum Hall…

凝聚态物理 · 物理学 2009-10-28 C. L. Kane , Matthew P. A. Fisher

Heat transport has large potentialities to unveil new physics in mesoscopic systems. A striking illustration is the integer quantum Hall regime, where the robustness of Hall currents limits information accessible from charge transport.…

介观与纳米尺度物理 · 物理学 2011-01-04 C. Altimiras , H. le Sueur , U. Gennser , A. Cavanna , D. Mailly , F. Pierre

Two dimensional electron systems exhibiting the fractional quantum Hall effects are characterized by a quantized Hall conductance and a dissipationless bulk. The transport in these systems occurs only at the edges where gapless excitations…

介观与纳米尺度物理 · 物理学 2009-11-10 Yogesh N. Joglekar , Hoang K. Nguyen , Ganpathy Murthy

We use a quasi-Corbino sample geometry with independent contacts to different edge states in the quantum Hall effect regime to investigate a charge redistribution between cyclotron-split edge states at high imbalance. We also modify…

介观与纳米尺度物理 · 物理学 2009-11-10 E. V. Deviatov , V. T. Dolgopolov , A Wurtz

We consider effects of the interaction between electrons drifting along the opposite sides of a narrow sample under the conditions of the quantum Hall effect. A spatial variation of this interaction leads to backward scattering of…

凝聚态物理 · 物理学 2016-08-31 Yuval Oreg , Alexander M. Finkel'stein

Edge states in the integral quantum Hall effect on a lattice are reviewed from a topological point of view. For a system with edges which is realized inevitably in an experimental situation, the Hall conductance $\sigma_{xy}$ is given by a…

凝聚态物理 · 物理学 2007-05-23 Yasuhiro Hatsugai

We investigate integer and fractional quantum Hall states in quantum point contacts (QPCs) of different geometries, defined in AlGaAs/GaAs heterostructures employing different doping and screening techniques. We find that, even in the…

介观与纳米尺度物理 · 物理学 2014-03-11 S. Baer , C. Rössler , E. C. de Wiljes , P. -L. Ardelt , T. Ihn , K. Ensslin , C. Reichl , W. Wegscheider

We present a theory of composite fermion edge states and their transport properties in the fractional and integer quantum Hall regimes. We show that the effective electro-chemical potentials of composite fermions at the edges of a Hall bar…

凝聚态物理 · 物理学 2009-10-28 George Kirczenow , Brad L. Johnson

In this paper we give a survey of some models of the integer and fractional quantum Hall effect based on noncommutative geometry. We begin by recalling some classical geometry of electrons in solids and the passage to noncommutative…

介观与纳米尺度物理 · 物理学 2007-05-23 Matilde Marcolli , Varghese Mathai

The quantum Hall effect is a remarkable manifestation of quantized transport in a two-dimensional electron gas. Given its technological relevance, it is important to understand its development in realistic nanoscale devices. In this work we…

介观与纳米尺度物理 · 物理学 2013-01-08 I. J. Vera-Marun , P. J. Zomer , A. Veligura , M. H. D. Guimarães , L. Visser , N. Tombros , H. J. van Elferen , U. Zeitler , B. J. van Wees

We experimentally demonstrate, for the first time, formation of point-like topological defects in the edge state structure in the quantum Hall effect regime. By using of a selective population technique, we investigate equilibration…

介观与纳米尺度物理 · 物理学 2009-11-11 E. V. Deviatov , V. T. Dolgopolov , A. Wurtz , A. Lorke , A. Wixforth , W. Wegscheider , K. L. Campman , A. C. Gossard

Transport experiments provide conflicting evidence on the possible existence of fractional order within integer quantum Hall systems. In fact integer edge states sometimes behave as monolithic objects with no inner structure, while other…

介观与纳米尺度物理 · 物理学 2012-10-24 Nicola Paradiso , Stefan Heun , Stefano Roddaro , Lucia Sorba , Fabio Beltram , Giorgio Biasiol , L. N. Pfeiffer , K. W. West

We use a novel sample geometry to study non-local effects of edge excitations in the integer quantum Hall effect regime. We find that the condition of local equilibrium at the quantum Hall edge is affected by the diffusion of dynamically…

介观与纳米尺度物理 · 物理学 2011-01-21 E. V. Deviatov , A. Lorke , G. Biasiol , L. Sorba

Charge fractionalization is a possible emergent excitation in a low-dimensional system of interacting electrons. A known example is that of fractional charges in the fractional quantum Hall effect (FQHE) regime, which is a consequence of…

介观与纳米尺度物理 · 物理学 2013-10-31 Hiroyuki Inoue , Anna Grivnin , Nissim Ofek , Izhar Neder , Moty Heiblum , Vladimir Umansky , Diana Mahalu

According to the bulk-edge correspondence principle, the physics of the gapless edge in the quantum Hall effect determines topological order in the gapped bulk. As the bulk is less accessible, the last two decades saw the emergence of…

介观与纳米尺度物理 · 物理学 2020-07-15 Moty Heiblum , D. E. Feldman

A theory of transport in the quantum Hall regime is developed for separately contacted double-layer electron systems. Inter-layer tunneling provides a channel for equilibration of the distribution functions in the two layers and influences…

凝聚态物理 · 物理学 2015-06-25 D. Yoshioka , A. H. MacDonald
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