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By restricting the motion of high-mobility 2D electron gas to a network of channels with smooth confinement, we were able to trace, both classically and quantum-mechanically, the interplay of backscattering, and of the bending action of a…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 V. V. Mkhitaryan , V. Kagalovsky , M. E. Raikh

Physics of two-dimensional electron gases under perpendicular magnetic field often displays three distinct stages when increasing the field amplitude: a low field regime with classical magnetotransport, followed at intermediate field by a…

Mesoscale and Nanoscale Physics · Physics 2019-06-17 Thierry Champel , Serge Florens

A solution to the long-standing problem of identifying the conformal field theory governing the transition between quantized Hall plateaus of a disordered noninteracting 2d electron gas, is proposed. The theory is a nonlinear sigma model…

High Energy Physics - Theory · Physics 2007-05-23 Martin R. Zirnbauer

A careful study of the supersymmetric version of Pruisken's nonlinear sigma model for the integer quantum Hall effect is presented. The lattice regularized model is cast in Hamiltonian form by taking the anisotropic limit and interpreting…

Condensed Matter · Physics 2009-10-22 M. Zirnbauer

Using nonequilibrium perturbation theory, we investigate the nonlinear transport through a quantum dot in the Kondo regime in the presence of a magnetic field. We calculate the leading logarithmic corrections to the local magnetization and…

Strongly Correlated Electrons · Physics 2007-05-23 J. Paaske , A. Rosch , P. Wölfle

Transport properties of the two-dimensional electron gas (2DEG) are considered in the presence of a perpendicular magnetic field $B$ and of a {\it weak} two-dimensional (2D) periodic potential modulation in the 2DEG plane. The symmetry of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 X. F. Wang , P. Vasilopoulos , F. M. Peeters

The quantum Hall effect was originally observed in a two-dimensional electron gas forming Landau levels when exposed to a strong perpendicular magnetic field and was later generalized to Chern insulators without net magnetization. Here,…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Benjamin Michen , Jan Carl Budich

We investigate transport properties of quantized chaotic systems in the short wavelength limit. We focus on non-coherent quantities such as the Drude conductance, its sample-to-sample fluctuations, shot-noise and the transmission spectrum,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ph. Jacquod , Robert S. Whitney

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

Motivated by the recent discovery of quantized spin Hall effect in InAs/GaSb quantum wells\cite{du2013}$^,$\cite{xu2014}, we theoretically study the effects of in-plane magnetic field and strain effect to the quantization of charge…

Mesoscale and Nanoscale Physics · Physics 2021-02-02 Lun-Hui Hu , Dong-Hui Xu , Fu-Chun Zhang , Yi Zhou

Theory of weak localization in two-dimensional high-mobility semiconductor systems is developed with allowance for the spin-orbit interaction. The obtained expressions for anomalous magnetoresistance are valid in the whole range of…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 M. M. Glazov , L. E. Golub

We evaluate the topological character of TaAs through a detailed study of the angular, magnetic-field and temperature dependence of its magnetoresistivity and Hall-effect(s), and of its bulk electronic structure through quantum oscillatory…

We show that a weak hexagonal periodic potential could transform a two-dimensional electron gas with an even-denominator magnetic filling factor to a quantum anomalous Hall insulator of composite fermions, giving rise to fractionally…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Yinhan Zhang , Junren Shi

We present here our recent quantum transport results around the charge neutrality point (CNP) in a type-II InAs/GaSb field-effect transistor. At zero magnetic field, a conductance minimum close to 4e^2/h develops at the CNP and it follows…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 W. Pan , J. F. Klem , J. K. Kim , M. Thalakulam , M. J. Cich

The Hall effect, the anomalous Hall effect and the spin Hall effect are fundamental transport processes in solids arising from the Lorentz force and the spin-orbit coupling respectively. The quantum versions of the Hall effect and the spin…

Mesoscale and Nanoscale Physics · Physics 2010-07-13 Rui Yu , Wei Zhang , H. J. Zhang , S. C. Zhang , Xi Dai , Zhong Fang

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

Oscillatory variations of the diagonal ($G_{xx}$) and Hall ($G_{xy}$) magnetoconductances are discussed in view of topological scaling effects giving rise to the quantum Hall effect. They occur in a field range without oscillations of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. S. Murzin , A. G. M. Jansen , I. Claus

Semi-Dirac semimetals have received enthusiastic research both theoretically and experimentally in the recent years. Due to the anisotropic dispersion, its physical properties are highly direction-dependent. In this work we employ the…

Mesoscale and Nanoscale Physics · Physics 2022-03-08 Shihao Bi , Yiting Deng , Yan He , Peng Li

We report an experimental study of quantum conductivity corrections in a low mobility, high density two-dimensional electron gas in a AlGaAs/GaAs/AlGaAs quantum well in a wide temperature range (1.5K - 110K). This temperature range covers…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 V. T. Renard , I. V. Gornyi , O. A. Tkachenko , V. A. Tkachenko , Z. D. Kvon , E. B. Olshanetsky , A. I. Toropov , J. -C. Portal

Theory of weak antilocalization is developed for high-mobility two-dimensional systems. Spin-orbit interaction of Rashba and Dresselhaus types is taken into account. Anomalous magnetoresistance is calculated in the whole range of…

Mesoscale and Nanoscale Physics · Physics 2010-12-30 L. E. Golub
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