2006/05/30 by Michel Dyakonov, Dyakonov, Michel, R. Jullien +2
Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #cond-mat.mes-hall #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0605732
4 pages, 3 figures
arxiv created 2006/05/30 · openalex publication_date 2006/05/30 · arxiv updated 2012/05/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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