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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 an unusual transport phenomenon observed in two-dimensional electron gas under integer quantum Hall effect conditions. Our calculations are based on the screening theory, using a semi-analytical model. The…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 S. Erden Gulebaglan , S. B. Kalkan , S. Sirt , E. M. Kendirlik , A. Siddiki

We report on theoretical and experimental investigations of the integer quantized Hall effect in narrow channels at various mobilities. The Hall bars are defined electrostatically in two-dimensional electron systems by biasing metal gates…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 J. Horas , A. Siddiki , J. Moser , W. Wegscheider , S. Ludwig

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

We investigate the peculiarities of the "overshoot" phenomena in the transverse Hall resistance R_{xy} in Si/SiGe. Near the low magnetic field end of the quantum Hall effect plateaus, when the filling factor \nu approaches an integer i,…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 I. Shlimak , V. Ginodman , A. B. Gerber , A. Milner , K. -J. Friedland , D. J. Paul

The integer quantum anomalous Hall (QAH) effect is a lattice analog of the quantum Hall effect at zero magnetic field. This striking transport phenomenon occurs in electronic systems with topologically nontrivial bands and spontaneous…

Experimental and theoretical investigations on the integer quantized Hall effect in gate defined narrow Hall bars are presented. At low electron mobility the classical (high temperature) Hall resistance line RH(B) cuts through the center of…

Mesoscale and Nanoscale Physics · Physics 2010-11-01 A. Siddiki , J. Horas , J. Moser , W. Wegscheider , S. Ludwig

We predict resistance anomalies to be observed at high mobility two dimensional electron systems (2DESs) in the fractional quantized Hall regime, where the narrow (L <10 ?m) Hall bar is defined by top gates. An analytic calculation scheme…

Mesoscale and Nanoscale Physics · Physics 2010-12-09 A. Salman , A. I. Mese , M. B. Yucel , A. Siddiki

Due to the lack of simulation tools that take into account the actual geometry of complicated quantum Hall samples there are lots of experiments that are not yet fully understood. Already some years ago R. G. Mani recorded a shift of the…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Christoph Uiberacker , Christian Stecher , Josef Oswald

We have introduced a controllable nano-scale incursion into a potential barrier imposed across a two-dimensional electron gas, and report on the phenomena that we observe as the incursion develops. In the quantum Hall regime, the…

The quantum Hall effect is one of the most important developments in condensed matter physics of the 20th century. The standard explanations of the famous integer quantized Hall plateaus in the transverse resistivity are qualitative, and…

Mesoscale and Nanoscale Physics · Physics 2008-11-24 Tobias Kramer , Eric J. Heller , Robert E. Parrott , Chi-Te Liang , C. F. Huang , Kuang Yao Chen , Li-Hung Lin , Jau-Yang Wu , Sheng-Di Lin

In this work, we exploit the findings of the screening theory of the integer quantized Hall effect (QHE) based on the formation of the incompressible strips and its essential influence on the global resistances and propose certain…

Mesoscale and Nanoscale Physics · Physics 2010-04-09 U. Erkarslan , G. Oylumluoglu , A. Siddiki

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

An intriguing observation on the quantum anomalous Hall effect (QAHE) in magnetic topological insulators (MTIs) is the dissipative edge states, where quantized Hall resistance is accompanied by nonzero longitudinal resistance. We…

Mesoscale and Nanoscale Physics · Physics 2021-02-05 Yanxia Xing , Fuming Xu , Qing-feng Sun , Jian Wang , Yu-gui Yao

Quantum anomalous Hall (QAH) effect in magnetic topological insulators is driven by the combination of spontaneous magnetic moments and spin-orbit coupling. Its recent experimental discovery raises the question if higher plateaus can also…

Mesoscale and Nanoscale Physics · Physics 2013-09-26 Jing Wang , Biao Lian , Haijun Zhang , Yong Xu , Shou-Cheng Zhang

The intrinsic anomalous Hall effect is one of the most exciting manifestations of the geometric properties of the electronic wave-function. Here, we predict that the electronic wave-function's geometric nature also gives rise to a purely…

Mesoscale and Nanoscale Physics · Physics 2021-04-07 Kamal Das , Amit Agarwal

The low-temperature magnetoresistance of parabolic quantum wells displays pronounced minima between integer filling factors. Concomitantly the Hall effect exhibits overshoots and plateau-like features next to well-defined ordinary quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. Ellenberger , B. Simovic , R. Leturcq , T. Ihn , S. E. Ulloa , K. Ensslin , D. C. Driscoll , A. C. Gossard

The quantized version of the anomalous Hall effect has been predicted to occur in magnetic topological insulators, but the experimental realization has been challenging. Here, we report the observation of the quantum anomalous Hall (QAH)…

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

The temperature and scale dependence of resistivities in the standard scaling theory of the integer quantum Hall effect is discussed. It is shown that recent experiments, claiming to observe a discrepancy with the global phase diagram of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Bodo Huckestein
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