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The classical two-dimensional problem of non-interacting electrons scattered by short-range impurity centers in the presence of magnetic field is investigated both analytically and numerically. A strong magnetoresistance exists in such a…

Statistical Mechanics · Physics 2009-11-07 A. Dmitriev , M. Dyakonov , R. Jullien

A theory of recently discovered anomalous low-field magnetoresistance is developed for the system of two-dimensional electrons scattered by hard disks of radius $a,$ randomly distributed with concentration $n.$ For small magnetic fields the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Vadim V. Cheianov , A. P. Dmitriev , V. Yu. Kachorovskii

We discuss classical magnetotransport in a two-dimensional system with strong scatterers. Even in the limit of very low field, when $\omega_c \tau \ll 1$ ($\omega_c$ is the cyclotron frequency, $\tau$ is the scattering time) such a system…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Vadim V. Cheianov , A. P. Dmitriev , V. Yu. Kachorovskii

Electric current-induced magnetoresistance oscillations recently discovered in two-dimensional electron systems are analyzed using a microscopic scheme for nonlinear magnetotransport direct controlled by the current. The magnetoresistance…

Mesoscale and Nanoscale Physics · Physics 2007-09-18 X. L. Lei

We study spectra for a 2D electron in the lowest Landau level with randomly distributed, repulsively correlated electric impurities. The lowest energy band reflects an effective magnetic field downshifted by an integer multiple of the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Alfred Scharff Goldhaber , M. L. Horner

We report on theoretical studies of the recently discovered negative giant magnetoresistance in ultraclean two-dimensional electron systems at low temperatures. We adapt a transport model to a ultraclean scenario and calculate the elastic…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Jesús Inarrea

Magnetic barriers in two-dimensional electron gases are shifted in B space by homogeneous, perpendicular magnetic fields. The magnetoresistance across the barrier shows a characteristic asymmetric dip in the regime where the polarity of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. Hugger , M. Cerchez , H. Xu , T. Heinzel

The theory of magnetoresistance of the edge state of a two-dimensional topological insulator is developed. The magnetic field violates the time-reversal invariance. Magnetoresistance arises due to the energy gap opened by a magnetic field…

Mesoscale and Nanoscale Physics · Physics 2021-01-07 Leonid Braginsky , M. V. Entin

We observe a strong negative magnetoresistance at non-quantizing magnetic fields in a high-mobility two-dimensional electron gas (2DEG). This strong negative magnetoresistance consists of a narrow peak around zero magnetic field and a huge…

Mesoscale and Nanoscale Physics · Physics 2014-11-05 L. Bockhorn , I. V. Gornyi , D. Schuh , C. Reichl , W. Wegscheider , R. J. Haug

We study the quasiclassical magnetotransport of non-interacting fermions in two dimensions moving in a random array of strong scatterers (antidots, impurities or defects) on the background of a smooth random potential. We demonstrate that…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. D. Mirlin , D. G. Polyakov , F. Evers , P. Woelfle

Diffusion of electrons in a two-dimensional system with time-dependent random potentials is investigated numerically. In the absence of spin-orbit scattering, the conductivity shows universal weak localization correction. In the presence of…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Takeshi Nakanishi , Tomi Ohtsuki

By numerical simulation, we study the classical magnetoresistance of two-dimensional electrons in the presence of weak short range scattering. A critical magnetic field defines the percolation threshold, above which the longitudinal…

Mesoscale and Nanoscale Physics · Physics 2012-05-15 Michel Dyakonov , Remi Jullien

The conductivity of a two-dimensional electron gas in a parallel magnetic field is calculated. We take into account the magnetic field induced spin-splitting, which changes the density of states, the Fermi momentum and the screening…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. T. Dolgopolov , A. Gold

We consider the effect of a magnetic field $B$ on the transport of neutral composite particles, excitons, in weakly disordered 2D systems. In the case of classical transport, when the interference of different paths is neglected, the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. I. Arseev , A. B. Dzyubenko

We propose the second-order response of metals in an electric field induced by magnetic impurities which locally break inversion symmetry. The impurities with toroidal moments scatter conduction electrons in the presence of the spin-orbit…

Disordered Systems and Neural Networks · Physics 2022-10-04 Hiroki Isobe , Naoto Nagaosa

The results of computer simulation of particle motion over the plane with randomly distributed scatters are presented. They are used to analyse the influence of scattering anisotropy on the negative magnetoresistance due to weak…

Condensed Matter · Physics 2007-05-23 A. V. Germanenko , V. A. Larionova , G. M. Minkov , S. A. Negashev

We observe an unusual behavior of the low-temperature magnetoresistance of the high-mobility two-dimensional electron gas in InGaAs/InAlAs quantum wells in weak perpendicular magnetic fields. The observed magnetoresistance is qualitatively…

Mesoscale and Nanoscale Physics · Physics 2018-04-30 M. Yu. Melnikov , A. A. Shashkin , V. T. Dolgopolov , G. Biasiol , S. Roddaro , L. Sorba

In ultra-high quality two-dimensional (2D) materials the mean free paths of phonons and electrons relative to all mechanisms of scattering can be much greater than a size of a sample. In this case the most intensive type of scattering of…

Mesoscale and Nanoscale Physics · Physics 2018-10-17 P. S. Alekseev , M. A. Semina

We develop a classical kinetic theory of magnetotransport of 2D electrons in narrow channels with partly diffusive boundary scattering and apply it to description of magnetoresistance measured in the temperature interval 4.2-30 K in long…

Mesoscale and Nanoscale Physics · Physics 2020-06-23 O. E. Raichev , G. M. Gusev , A. D. Levin , A. K. Bakarov

One considers the effect of disorder on the 2-dimensional density of states of an electron in a constant magnetic field superposed onto a Poissonnian random distribution of point vortices. If one restricts the electron Hilbert space to the…

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