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The magnetoresistance of classical two-dimensional electrons scattered by randomly distributed impurities is investigated by numerical simulation. At low magnetic fields, we find for the first time a negative magnetoresistance proportional…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Alexander Dmitriev , Michel Dyakonov , Remi 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 review various aspects of magnetoresistance in (quasi-)twodimensional systems subject to an in-plane magnetic field. Concentrating on single-particle effects, three mechanisms leading to magnetoresistance are discussed: the orbital…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Julia S. Meyer , Vladimir I. Fal'ko , B. L. Altshuler

Ballistic transport properties in a two dimensional electron gas are studied numerically, where magnetic fields are perpendicular to the plane of two dimensional electron systemsand periodically modulated both in $x$ and $y$ directions. We…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Junji Yoshida , Tomi Ohtsuki , Yoshiyuki Ono

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

The transport properties of interacting electrons for which the spin degree of freedom is taken into account are numerically studied for small two dimensional diffusive clusters. On-site electron-electron interactions tend to delocalize the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Richard Berkovits , Jan W. Kantelhardt

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

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

Two-component systems with equal concentrations of electrons and holes exhibit non-saturating, linear magnetoresistance in classically strong magnetic fields. The effect is predicted to occur in finite-size samples at charge neutrality in…

Mesoscale and Nanoscale Physics · Physics 2015-04-28 P. S. Alekseev , A. P. Dmitriev , I. V. Gornyi , V. Yu. Kachorovskii , B. N. Narozhny , M. Schuett , M. Titov

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

The stability of matter composed of electrons and static nuclei is investigated for a relativistic dynamics for the electrons given by a suitably projected Dirac operator and with Coulomb interactions. In addition there is an arbitrary…

Statistical Mechanics · Physics 2009-10-28 Elliott H. Lieb , Heinz Siedentop , Jan Philip Solovej

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

We develop a model of the nonlinear response to a DC electrical current of a two dimensional electron system(2DES) placed on a magnetic field. Based on the exact solution of the Schroedinger equation in arbitrarily strong electric and…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. Kunold , M. Torres

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

The observation of non-saturating classical linear magnetoresistivity has been an enigmatic phenomenon in solid state physics. We present a study of a two-dimensional ohmic conductor, including local Hall effect and a self-consistent…

Disordered Systems and Neural Networks · Physics 2017-01-25 Ferdinand Kisslinger , Christian Ott , Heiko B. Weber

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

We revisit the theory of magnetoresistance for a system of nanoscopic magnetic granules in metallic matrix. Using a simple model for the spin dependent perturbation potential of the granules, we solve Boltzmann equation for the spin…

Materials Science · Physics 2007-05-23 J. Viana Lopes , J. M. B. Lopes dos Santos , Yu. G. Pogorelov

We develop a theory of magnetoresistance of two-dimensional electron systems in a smooth disorder potential in the hydrodynamic regime. Our theory applies to two-dimensional semiconductor structures with strongly correlated carriers when…

Mesoscale and Nanoscale Physics · Physics 2017-03-22 Alex Levchenko , Hong-Yi Xie , A. V. Andreev
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