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The conductivity in quasi two-dimensional systems is calculated using the quantum kinetic equation. Linearizing the Lenard-Balescu collision integral with the extension to include external field dependences allows one to calculate the…

Strongly Correlated Electrons · Physics 2009-11-07 Klaus Morawetz

The topic of this contribution is the investigation of quantum states and quantum Hall effect in electron gas subjected to a periodic potential of the lateral lattice. The potential is formed by triangular quantum antidos located on the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 V. Ya. Demikhovskii , A. A. Perov

We suggest a procedure for calculating correlation functions of the local densities of states (DOS) at the plateau transitions in the Integer Quantum Hall effect (IQHE). We argue that their correlation functions are appropriately described…

Condensed Matter · Physics 2019-08-17 M. J. Bhaseen , I. I. Kogan , O. A. Soloviev , N. Taniguchi , A. Tsvelik

In order to investigate whether space coordinates are intrinsically noncommutative, we make use of the Hall effect on the two-dimensional plane. We calculate the Hall conductivity in such a way that the noncommutative U(1) gauge invariance…

High Energy Physics - Theory · Physics 2007-05-23 Akira Kokado , Takashi Okamura , Takesi Saito

In this work, the definition of the density operator on quantum states in Hilbert spaces and some of its aspects relevant in thermodynamics and information-theoretical entropy calculations are given. In this framework, a physical model…

Mathematical Physics · Physics 2017-09-25 Isiaka Aremua , Mahouton Norbert Hounkonnou , Ezinvi Baloitcha

In electronic devices where a two-dimensional electron gas (2DEG) comprises one or both sides of a plane capacitor, the resulting capacitance $C$ can be larger than the "geometric capacitance" $C_g$ determined by the physical separation $d$…

Mesoscale and Nanoscale Physics · Physics 2012-07-06 Brian Skinner , B. I. Shklovskii

We report simultaneous quasi-dc magnetotransport and high frequency surface acoustic wave measurements on bilayer two-dimensional electron systems in GaAs. Near strong integer quantized Hall states a strong magnetic field sweep hysteresis…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 J. Pollanen , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

We present a self-consistent Schroedinger-Poisson scheme for simulation of electrostatic quantum dots defined in gated two-dimensional electron gas formed at n-AlGaAs/GaAs heterojunction. The computational method is applied to a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. Bednarek , K. Lis , B. Szafran

Using low-temperature scanning tunneling spectroscopy applied to the Cs-induced two-dimensional electron system (2DES) on p-type InSb(110), we probe electron-electron interaction effects in the quantum Hall regime. The 2DES is decoupled…

Mesoscale and Nanoscale Physics · Physics 2011-04-18 S. Becker , C. Karrasch , T. Mashoff , M. Pratzer , M. Liebmann , V. Meden , M. Morgenstern

A low-disorder, two-dimensional electron system (2DES) subjected to a large perpendicular magnetic field and cooled to very low temperatures provides a rich platform for studies of many-body quantum phases. The magnetic field quenches the…

Mesoscale and Nanoscale Physics · Physics 2022-01-10 K. A. Villegas , S. K. Singh , H. Deng , Y. J. Chung , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

Transport in a two-dimensional electron gas subject to an external magnetic field is analyzed in the presence of a \textit{longitudinal barrier.} We show that \textit{quantum interference of the edge states} bound by the longitudinal…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. M. Kadigrobov , M. V. Fistul , K. B. Efetov

We have considered the conductivity properties of a two dimensional electron gas (2DEG) in two different kinds of inhomogeneous magnetic fields, i.e.\ a disordered distribution of magnetic flux vortices, and a periodic array of magnetic…

Condensed Matter · Physics 2016-08-14 Mads Nielsen , Per Hedegård

I review some aspects of an alternative model of the quantum Hall effect, which is not based on the presence of disorder potentials. Instead, a quantization of the electronic drift current in the presence of crossed electric and magnetic…

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

The object of the present work is to study the quantum Hall effect through its symmetries and topological aspects. We consider the model of an electron moving in a two-dimensional lattice in the presence of applied in-plain electric field…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. Kunold , M. Torres

We consider a non-interacting electron gas confined to a two-dimensional crystal by the action of a perpendicular magnetic field; in the one-particle approximation, the dynamics of the system is modelled by a spectrally gapped Bloch-Landau…

Mathematical Physics · Physics 2026-01-30 Gabriele Mazzini , Domenico Monaco

We use the Kubo-Landauer formalism to compute the longitudinal (two-terminal) conductance of a two dimensional electron system placed in a strong perpendicular magnetic field, and subjected to periodic modulations and/or disorder…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Chenggang Zhou , Mona Berciu

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

Low-temperature screening properties of the inhomogeneous two-dimensional electron gas in a Hall bar subjected to a strong perpendicular magnetic field are explored using a self-consitent approach. An external oscillating modulation…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Siddiki , Rolf R. Gerhardts

The cross-over from quasi-two- to quasi-one-dimensional electron transport subject to transverse electric fields and perpendicular magnetic fields are studied in the diffusive to quasiballistic and zero-field to quantum Hall regime.…

Mesoscale and Nanoscale Physics · Physics 2024-05-06 Olivio Chiatti , Johannes Boy , Christian Heyn , Wolfgang Hansen , Saskia F. Fischer

A strict bidimensional (strict-2D) exact-exchange (EE) formalism within the framework of density-functional theory (DFT) has been developed and applied to the case of an electron gas subjected to a strong perpendicular magnetic field, that…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 D. Miravet , C. R. Proetto