arXiv subjects

Michel Dyakonov

Publications and source records attributed to Michel Dyakonov.

3 recordsLinked to original sources

arXiv2006

Magnetoresistance in a soft billiard: giant peak near the percolation threshold

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 resistance vanishes. Unexpectedely, just below this threshold we find a shrp narrow peak, where the resistance may increase 15 times compared to its zero-field value. By considering the complex topology of the effective potential landscape for the center of the cyclotron circle, we show that this phenomenon is related to infinite equipotential lines, which exists only in a narrow magnetic field interval below the percolation threshold

cond-mat.mes-hall↗

arXiv2004

Non-Boltzmann classical correction to the velocity auto-correlation function for isotropic scattering in two dimensions

The classical correction to the velocity auto-correlation function of non-interacting particles due to memory effects, which are beyond the Boltzmann equation, is calculated both analytically and numerically for the case of isotropic scattering in two dimensions.

cond-mat.mes-hall↗

arXiv2002

Anomalous Low-Field Classical Magnetoresistance in Two Dimensions

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 to |B|. This unexpected behavior is shown to be due to a memory effect specific for backscattering events, which was not considered previously.

cond-mat.mes-hall↗