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Anomalous Negative Magnetoresistance Caused by Non-Markovian Effects

Vadim V. Cheianov·A. P. Dmitriev·V. Yu. Kachorovskii
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Abstract

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 magentoresistance is found to be parabolic and inversely proportional to the gas parameter, $ δρ_{xx}/ρ\sim - (ω_c τ)^2 / n a^2.$ With increasing field the magnetoresistance becomes linear $δρ_{xx}/ρ\sim - ω_c τ$ in a good agreement with the experiment and numerical simulations.

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Vadim V. Cheianov, A. P. Dmitriev, V. Yu. Kachorovskii. 2003-08-27. Anomalous Negative Magnetoresistance Caused by Non-Markovian Effects. https://doi.org/10.1103/physrevb.68.201304

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