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The unusual properties of two-dimensional electron systems that give rise to the quantum Hall effect have prompted the development of new microscopic models for electrical conduction. The bulk properties of the quantum Hall effect have also…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 S. H. Tessmer , P. I. Glicofridis , R. C. Ashoori , L. S. Levitov , M. R. Melloch

A scanning probe technique was used to obtain a high-resolution map of the random electrostatic potential inside the quantum Hall liquid. A sharp metal tip, scanned above a semiconductor surface, sensed charges in an embedded…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 G. Finkelstein , P. I. Glicofridis , R. C. Ashoori , M. Shayegan

Nanostructures defined in high-mobility two-dimensional electron systems offer a unique way of controlling the microscopic details of the investigated device. Quantum point contacts play a key role in these investigations, since they are…

Mesoscale and Nanoscale Physics · Physics 2014-03-19 Clemens Rössler , Tobias Krähenmann , Stephan Baer , Thomas Ihn , Klaus Ensslin , Christian Reichl , Werner Wegscheider

We consider electron systems in quantum dots and imaging of the confined charge density by the Coulomb blockade microscopy (CBM) with the scanning probe technique. We apply an exact diagonalization method to study the reaction of the…

Mesoscale and Nanoscale Physics · Physics 2014-06-27 E. Wach , D. P. Żebrowski , B. Szafran

We use a simple electrostatic treatment to model recent experiments on quantum Hall systems, in which charging of localised states by addition of integer or fractionally-charged quasiparticles is observed. Treating the localised state as a…

Mesoscale and Nanoscale Physics · Physics 2008-06-17 Ana L. C. Pereira , J. T. Chalker

Visualizing individual charges confined to molecules and observing their dynamics with high spatial resolution is a challenge for advancing various fields in science, ranging from mesoscopic physics to electron transfer events in biological…

Mesoscale and Nanoscale Physics · Physics 2016-09-19 Tatiana Latychevskaia , Flavio Wicki , Jean-Nicolas Longchamp , Conrad Escher , Hans-Werner Fink

Strong interaction between electrons in two-dimensional systems in the presence of a high magnetic field gives rise to fractional quantum Hall states that host quasiparticles with fractional charge and fractional exchange statistics. Here,…

Charge excitations in a two dimensional electron gas, under a quantizing magnetic field and in the fractional quantum Hall effect regime, flow in one dimensional-like strips along the edges of the sample. These excitations (quasiparticles)…

Mesoscale and Nanoscale Physics · Physics 2009-12-25 Moty Heiblum

We present a novel method for fabricating highly customizable three-dimensional structures hosting quantum sensors based on Nitrogen Vacancy (NV) centers using two-photon polymerization. This approach overcomes challenges associated with…

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…

Mesoscale and Nanoscale Physics · Physics 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 present a gating scheme to separate even strong parallel conductance from the magneto-transport signatures and properties of a two-dimensional electron system. By varying the electron density in the parallel conducting layer, we can…

Mesoscale and Nanoscale Physics · Physics 2017-01-27 Sebastian Peters , Lars Tiemann , Christian Reichl , Stefan Fält , Werner Dietsche , Werner Wegscheider

We report a nanoscale device concept based on a highly doped $\delta$-layer tunnel junction embedded in a semiconductor for charge sensing. Recent advances in Atomic Precision Advanced Manufacturing (APAM) processes have enabled the…

Mesoscale and Nanoscale Physics · Physics 2025-05-16 Juan P. Mendez , Denis Mamaluy

The electronic quality of two-dimensional systems is crucial when exploring quantum transport phenomena. In semiconductor heterostructures, decades of optimization have yielded record-quality two-dimensional gases with transport and quantum…

The single-particle spectral function for an incompressible fractional quantum Hall state in the presence of a scalar short-ranged attractive impurity potential is calculated via exact diagonalization within the spherical geometry. In…

Strongly Correlated Electrons · Physics 2015-06-17 Kelly R. Patton , Michael R. Geller

Graphene enables precise carrier-density control via gating, making it an ideal platform for studying electronic interactions. However, sample inhomogeneities often limit access to the low-density regimes where these interactions dominate.…

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…

Mesoscale and Nanoscale Physics · Physics 2010-11-01 K. -J. Friedland , A. Siddiki , R. Hey , H. Kostial , A. Riedel , D. K. Maude

The investigation of novel electronic phases in low-dimensional quantum materials demands for the concurrent development of new measurement techniques that combine surface sensitivity with high spatial resolution and high measurement…

Mesoscale and Nanoscale Physics · Physics 2020-10-14 Berthold Jäck

Microscopically probing quantum many-body systems by resolving their constituent particles is essential for understanding quantum matter. In most physical systems, distinguishing individual particles, such as electrons in solids, or…

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

Two-dimensional multi-valley electronic systems in which the dispersion of individual pockets has low symmetry give rise to quantum Hall ferroelectric and nematic states in the presence of strong quantising magnetic fields. We investigate…

Strongly Correlated Electrons · Physics 2020-07-01 Pok Man Tam , Tongtong Liu , Inti Sodemann , Liang Fu
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