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To fully appreciate the impacts that the discovery of the quantum Hall effect had on electrical metrology, it may benefit the reader to cultivate a general understanding of the phenomenon. Two-dimensional electron systems can exhibit many…

Mesoscale and Nanoscale Physics · Physics 2022-02-15 Albert F. Rigosi

In Landau levels N > 1, the ground state of the two-dimensional electron gas (2DEG) in a perpendicular magnetic field evolves from a Wigner crystal for small filling of the partially filled Landau level, into a succession of bubble states…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 R. Cote , C. Doiron , J. Bourassa , H. A. Fertig

In this article we review the quantum Hall physics of graphene based two-dimensional electron systems, with a special focus on recent experimental and theoretical developments. We explain why graphene and bilayer graphene can be viewed…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Yafis Barlas , Kun Yang , A. H. MacDonald

Using high magnetic fields up to 60 T, we report magneto-transport and photoluminescence (PL) studies of a two-dimensional electron gas (2DEG) in a GaN/AlGaN heterojunction grown by molecular-beam epitaxy. Transport measurements demonstrate…

Mesoscale and Nanoscale Physics · Physics 2021-02-03 S. A. Crooker , M. Lee , R. D. McDonald , J. L. Doorn , I. Zimmermann , Y. Lai , L. E. Winter , Y. Ren , Y. -J. Cho , B. J. Ramshaw , H. G. Xing , D. Jena

The two-dimensional electron system (2DES) is a unique laboratory for the physics of interacting particles. Application of a large magnetic field produces massively degenerate quantum levels known as Landau levels. Within a Landau level the…

Mesoscale and Nanoscale Physics · Physics 2010-05-24 O. E. Dial , R. C. Ashoori , L. N. Pfeiffer , K. W. West

Semiconductor interfaces, such as these existing in multilayer structures (e.g., quantum wells (QWs)), are interesting because of their ability to form 2D electron gases (2DEGs), in which charge carriers behave completely differently than…

Mesoscale and Nanoscale Physics · Physics 2019-05-22 Aleksandr Kazakov , Tomasz Wojtowicz

This follow-on work investigates the effect of temperature on the frequency limit of 2-dimensional electron gas (2DEG) Hall-effect sensors.

We have performed low-temperature transport measurements on a disordered two-dimensional electron system (2DES). Features of the strong localization leading to the quantum Hall effect are observed after the 2DES undergoes a direct…

Considering the quantum dynamics of 2DEG exposed to both a stationary magnetic field and an intense high-frequency electromagnetic wave, we found that the wave decreases the scattering-induced broadening of Landau levels. Therefore, various…

Mesoscale and Nanoscale Physics · Physics 2016-06-09 K. Dini , O. V. Kibis , I. A. Shelykh

We present longitudinal and Hall magneto-resistance measurements of a ``magnetic'' two-dimensional electron gas (2DEG) formed in modulation-doped Zn$_{1-x-y}$Cd$_{x}$Mn$_{y}$Se quantum wells. The electron spin splitting is temperature and…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 R. Knobel , N. Samarth , J. G. E. Harris , D. D. Awschalom

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

Up to almost the last two decades all the experimental results concerning the quantum Hall effect (QHE), i.e., the observation of plateaux at integer (IQHE) or fractional (FQHE) values of the constant h/e2, were related to quantum-wells in…

Mesoscale and Nanoscale Physics · Physics 2020-05-26 M. A. Hidalgo

We present a different approach to the fractional quantum Hall effect (FQHE), focusing it as a consequence of the change in the symmetry of the Hamiltonian of every electron in a two-dimensional electron gas (2DEG) under the application of…

Mesoscale and Nanoscale Physics · Physics 2013-11-20 M. A. Hidalgo

For certain measurements, the Corbino geometry has a distinct advantage over the Hall and van der Pauw geometries, in that it provides a direct probe of the bulk 2DEG without complications due to edge effects. This may be important in…

Mesoscale and Nanoscale Physics · Physics 2015-07-21 B. A. Schmidt , K. Bennaceur , S. Bilodeau , G. Gervais , L. N. Pfeiffer , K. W. West

A magnetic field applied perpendicularly to the chiral two-dimensional electron gas (C2DEG)\ in a Bernal-stacked bilayer graphene quantizes the kinetic energy into a discrete set of Landau levels $N=0,\pm 1,\pm 2,...$ While Landau level…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Wenchen Luo , R. Côté , Alexandre Bédard-Vallée

We study the plateaux of the integer quantum Hall resistance in a bilayer electron system in tilted magnetic fields. In a narrow range of tilt angles and at certain magnetic fields, the plateau level deviates appreciably from the quantized…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 E. V. Deviatov , A. A. Shashkin , V. T. Dolgopolov , H. -J. Kutschera , A. Wixforth , K. L. Campman , A. C. Gossard

Nanoelectronic devices embedded in the two-dimensional electron system (2DES) of a GaAs/AlGaAs heterostructure enable a large variety of applications from fundamental research to high speed transistors. Electrical circuits are thereby…

Mesoscale and Nanoscale Physics · Physics 2017-12-20 N. Bachsoliani , S. Platonov , A. D. Wieck , S. Ludwig

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

Frictional drag measurements revealing anomalously large dissipation at the transition between the weakly- and strongly-coupled regimes of a bilayer two-dimensional electron system at total Landau level filling factor $\nu_T =1$ are…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Kellogg , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

Contrary to common belief, the current emitted by a contact embedded in a two-dimensional electron gas (2DEG) is quantized in the presence of electric and magnetic fields. This observation suggests a simple, clearly defined model for the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Tobias Kramer
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