Magnetoresistance of Two-Dimensional Fermions in a Random Magnetic Field

Abstract

We perform a semiclassical calculation of the magnetoresistance of spinless two-dimensional fermions in a long-range correlated random magnetic field. In the regime relevant for the problem of the half filled Landau level the perturbative Born approximation fails and we develop a new method of solving the Boltzmann equation beyond the relaxation time approximation. In absence of interactions, electron density modulations, in-plane fields, and Fermi surface anisotropy we obtain a quadratic negative magnetoresistance in the weak field limit.

12 pages, Latex, no figures, Nordita report

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• Thermopower of Two-Dimensional Electrons at $\nu$ = 3/2 and 5/2
• Effect of Long Range Disorder on Electron Motion in Two Dimensions
• Zero-frequency anomaly in quasiclassical ac transport: Memory effects in a two-dimensional metal with a long-range random potential or random magnetic field
• Magnetotransport of electrons in quantum Hall systems
• Interaction effects in 2D electron gas in a random magnetic field: Implications for composite fermions and quantum critical point
• Phase diagram of weak-magnetic-field quantum Hall transition quantified from classical percolation
• Diffusion Thermopower at Even Denominator Fractions
• Reckoning with the Mother of all non-Fermi liquids: alien bosonization vs predator holography
• Classical and Quantum Dynamics in a Random Magnetic Field
• Tails of the Density of States in a Random Magnetic Field
• Magnetoresistance and Hall Constant of Composite Fermions