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In this work we provide a systematic explanation to the unusual non-monotonic behavior of the Hall resistance observed at two-dimensional electron systems. We use a semi-analytical model based on the interaction theory of the integer…

Mesoscale and Nanoscale Physics · Physics 2013-05-07 A. Siddiki , S. Erden Gulebaglan , N. Boz Yurdasan , G. Bilgec , A. Yildiz , I. Sokmen

In this work, we investigate the spatial distributions and the widths of the incompressible strips, i.e. the edgestates. The incompressible strips that correspond to \nu=1,2 and 1/3 filling factors are examined in the presence of a strong…

Mesoscale and Nanoscale Physics · Physics 2012-02-29 A. Salman , E. Koymen , M. B. Yucel , H. Atci , U. Erkarslan , A. Siddiki

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…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. V. Deviatov , V. T. Dolgopolov , A. Lorke , W. Wegscheider , A. D. Wieck

We use dynamic scanning capacitance microscopy (DSCM) to image compressible and incompressible strips at the edge of a Hall bar in a two-dimensional electron gas (2DEG) in the quantum Hall effect (QHE) regime. This method gives access to…

Mesoscale and Nanoscale Physics · Physics 2012-09-17 M. E. Suddards , A. Baumgartner , M. Henini , C. J. Mellor

In this work we report experiments on defined by shallow etching narrow Hall bars. The magneto-transport properties of intermediate mobility two-dimensional electron systems are investigated and analyzed within the screening theory of the…

Mesoscale and Nanoscale Physics · Physics 2013-05-07 E. M. Kendirlik , S. Sirt , S. B. Kalkan , W. Dietsche , W. Wegscheider , S. Ludwig , A. Siddiki

In this work we investigate the electrostatic properties of two dimensional electron system (2DES) in the integer quantum Hall regime. The alternating screening properties of compressible and incompressible strips are formed due to edge…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 E. Guvenilir , O. Kilicoglu , D. Eksi , A. Siddiki

We study the current and charge distribution in a two dimensional electron system, under the conditions of the integer quantized Hall effect, on the basis of a quasi-local transport model, that includes non-linear screening effects on the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Afif Siddiki , Rolf R. Gerhardts

We experimentally investigate interference effects in transport across a single incompressible strip at the edge of the quantum Hall system by using a Fabry-Perot type interferometer. We find the interference oscillations in transport…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 E. V. Deviatov , B. Marquardt , A. Lorke , G. Biasiol , L. Sorba

In the fractional quantum Hall effect regime we measure diagonal ($\rho_{xx}$) and Hall ($\rho_{xy}$) magnetoresistivity tensor components of two-dimensional electron system (2DES) in gated GaAs/Al$_{x}$Ga$_{1-x}$As heterojunctions,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. S. Murzin , S. I. Dorozhkin , G. E. Tsydynzhapov , V. N. Zverev

Using charge accumulation imaging, we measure the charge flow across an incompressible strip and follow its evolution with magnetic field. The strip runs parallel to the edge of a gate deposited on the sample and forms at positions where an…

Mesoscale and Nanoscale Physics · Physics 2013-06-25 P. I. Glicofridis , G. Finkelstein , R. C. Ashoori , M. Shayegan

At high magnetic fields, where the Fermi level lies in the N=0 lowest Landau level (LL), a clean two-dimensional electron system (2DES) exhibits numerous incompressible liquid phases which display the fractional quantized Hall effect (FQHE)…

Strongly Correlated Electrons · Physics 2012-08-14 Jing Xia , J. P. Eisenstein , Loren N. Pfeiffer , Ken W. West

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…

Mesoscale and Nanoscale Physics · Physics 2012-10-24 Nicola Paradiso , Stefan Heun , Stefano Roddaro , Lucia Sorba , Fabio Beltram , Giorgio Biasiol , L. N. Pfeiffer , K. W. West

We experimentally study equilibration across the sample edge at high fractional filling factors 4/3, 5/3 under experimental conditions, which allow us to obtain high imbalance conditions. We find a lack of the full equilibration across the…

Mesoscale and Nanoscale Physics · Physics 2007-11-09 E. V. Deviatov , A. Lorke , W. Wegscheider

In this work, we calculate the electron and the current density distributions both at the edges and the bulk of a two dimensional electron system, focusing on ideal and non-ideal contacts. A three dimensional Poisson equation is solved…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 D. Eksi , O. Kilicoglu , O. Goektas , A. Siddiki

Subsurface Charge Accumulation imaging is a cryogenic scanning probe technique that has recently been used to spatially probe incompressible strips formed in a two-dimensional electron system (2DES) at high magnetic fields. In this paper,…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 S. H. Tessmer , G. Finkelstein , P. I. Glicofridis , R. C. Ashoori

We study the current and charge distribution of a two dimensional electron gas under strong perpendicular magnetic fields within the linear response regime. We show within a self-consistent screening theory that incompressible strips with…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Afif Siddiki , Rolf R. Gerhardts

We present a systematical experimental investigation of an unusual transport phenomenon observed in two dimensional electron gases in Si/SiGe heterostructures under integer quantum Hall effect (IQHE) conditions. This phenomenon emerges…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 J. Sailer , A. Wild , V. Lang , A. Siddiki , D. Bougeard

Since the experimental realisation of the integer quantised Hall effect in a two dimensional electron system subject to strong perpendicular magnetic fields in 1980, a central question has been the interrelation between the conductance…

Mesoscale and Nanoscale Physics · Physics 2013-11-26 E. M. Kendirlik , S. Sirt , S. B. Kalkan , N. Ofek , V. Umansky , A. Siddiki

We study the fractional quantum Hall effect in three dimensional systems consisting of infinitely many stacked two dimensional electron gases placed in transverse magnetic fields. This limit introduces new features into the bulk physics…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. D. Naud , Leonid P. Pryadko , S. L. Sondhi

The fractional quantum Hall (FQH) effect arises from strong electron correlations in a quantising magnetic field, and features exotic emergent phenomena such as electron fractionalisation. Using the diagrammatic Monte Carlo approach with…

Strongly Correlated Electrons · Physics 2026-03-16 Ben Currie , Evgeny Kozik
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