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The quantum Hall conductance of a disordered two-dimensional gas of non-interacting electrons is re-examined for its integrity against disorder in the limit of no mixing between different Landau levels. The exact one-electron eigenstates of…

Condensed Matter · Physics 2007-05-23 N. Kumar

We investigate theoretically the fractional quantum Hall effect at half-filling in the lowest Landau level observed in asymmetric wide quantum wells. The asymmetry can be achieved by a potential bias applied between the two sides of the…

Mesoscale and Nanoscale Physics · Physics 2014-05-21 N. Thiebaut , M. O. Goerbig , N. Regnault

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

A new phenomenon is observed experimentally in a heavily doped asymmetric quantum-size structure in a magnetic field parallel to the quantum-well layers - a transverse magnetoresistance which is asymmetric in the field (there can even be a…

We study quantum interference effects on the transition strength for strongly localized electrons hopping on 2D square and 3D cubic lattices in the presence of a magnetic field B. These effects arise from the interference between phase…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Yeong-Lieh Lin , Franco Nori

We present transport measurements performed in InAs/GaSb double quantum wells. At the electron-hole crossover tuned by a gate voltage, a strong increase in the longitudinal resistivity is observed with increasing perpendicular magnetic…

Mesoscale and Nanoscale Physics · Physics 2014-03-17 Fabrizio Nichele , Atindra Nath Pal , Patrick Pietsch , Thomas Ihn , Klaus Ensslin , Christophe Charpentier , Werner Wegscheider

Localization of the helical edge states in quantum spin Hall insulators requires breaking time reversal invariance. In experiments this is naturally implemented by applying a weak magnetic field B. We propse a model based on scattering…

Mesoscale and Nanoscale Physics · Physics 2012-12-21 Pierre Delplace , Jian Li , Markus Büttiker

A theory of spin manipulation of quasi-two-dimensional (2D) electrons by a time-dependent gate voltage applied to a quantum well is developed. The Dresselhaus and Rashba spin-orbit coupling mechanisms are shown to be rather efficient for…

Materials Science · Physics 2007-05-23 E. I. Rashba , Al. L. Efros

The recent discovery of the 3D quantum Hall effect in $\mathrm{HfTe_5}$ has also revealed puzzling signatures of possible 3D fractionalization. Beyond the first plateau associated with the lowest Landau band, Hall conductivity exhibits a…

Mesoscale and Nanoscale Physics · Physics 2026-05-05 Jun-Hong Li , Yi-Yuan Chen , Peng-Lu Zhao , Hai-Zhou Lu , X. C. Xie

Quantum interference can profoundly affect charge transport in single molecules, but experiments can usually measure only the conductance at the Fermi energy. Because in general the most pronounced features of the quantum interference are…

A theory of transport in the quantum Hall regime is developed for separately contacted double-layer electron systems. Inter-layer tunneling provides a channel for equilibration of the distribution functions in the two layers at the edge…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Daijiro Yoshioka

The localization properties of a two-dimensional disordered electron gas in a strong external magnetic field are studied. The impurities are considered to be located on a square lattice with random amplitudes. The concentration of these…

Condensed Matter · Physics 2007-05-23 Michael HILKE

We have measured magnetotransport of the two-dimensional electron gas in a Hall bar geometry in the presence of small carrier density gradients. We find that the longitudinal resistances measured at both sides of the Hall bar interchange by…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 L. A. Ponomarenko , D. T. N. de Lang , A. de Visser , V. A. Kulbachinskii , G. B. Galiev , H. Künzel , A. M. M. Pruisken

The effect of quantizing magnetic field on the electron transport is investigated in a two dimensional topological insulator (2D TI) based on a 8 nm (013) HgTe quantum well (QW). The local resistance behavior is indicative of a…

Mesoscale and Nanoscale Physics · Physics 2018-04-04 E. B. Olshanetsky , Z. D. Kvon , G. M. Gusev , N. N. Mikhailov , S. A. Dvoretsky

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 analyze the magnetoconductance of two-dimensional electron and hole gases (2DEGs) subject to a parallel magnetic field. It is shown that, for confining potential wells which are symmetric with respect to spatial inversion, a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Julia S. Meyer , Alexander Altland , B. L. Altshuler

The edge of a two-dimensional electron system (2DES) in a magnetic field consists of one-dimensional (1D) edge-channels that arise from the confining electric field at the edge of the specimen$^{1-3}$. The crossed electric and magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 W. Kang , H. L. Stormer , K. W. Baldwin , L. N. Pfeiffer , K. W. West

Effect of dc electric field on transport of highly mobile 2D electrons is studied in wide GaAs single quantum wells placed in titled magnetic fields. The study shows that in perpendicular magnetic field resistance oscillates due to electric…

Mesoscale and Nanoscale Physics · Physics 2016-07-06 William Mayer , Sergey Vitkalov , A. A. Bykov

We have studied magnetotransport properties of a high-mobility two-dimensional electron system subject to weak electric fields. At low magnetic field $B$, the differential resistivity acquires a correction $\delta r \propto -\lambda^2…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 A. T. Hatke , M. A. Zudov , L. N. Pfeiffer , K. W. West

We study the linear Hall response of 2D ballistic system on inhomogeneous magnetic field. We establish that in classical limit the Hall conductivity response on local magnetic field is quantized in units of $\alpha_H \equiv \frac{e^3}{2…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Yuli V. Nazarov , B. Mijling
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