Magnetoresistance in a soft billiard: giant peak near the percolation threshold
Mesoscale and Nanoscale Physics
2012-05-15 v1 Statistical Mechanics
Abstract
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
Keywords
Cite
@article{arxiv.cond-mat/0605732,
title = {Magnetoresistance in a soft billiard: giant peak near the percolation threshold},
author = {Michel Dyakonov and Remi Jullien},
journal= {arXiv preprint arXiv:cond-mat/0605732},
year = {2012}
}
Comments
4 pages, 3 figures