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arXiv · 0708.3165

Sharp Magnetic Field Dependence of the 2D Hall Coefficient Induced by Classical Memory Effects

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

We show that a sharp dependence of the Hall coefficient $R$ on the magnetic field $B$ arises in two-dimensional electron systems with randomly located strong scatterers. The phenomenon is due to classical memory effects. We calculate analytically the dependence $R(B)$ for the case of scattering by hard disks of radius $a$, randomly distributed with concentration $n_0\ll1/a^2$. We demonstrate that in very weak magnetic fields ($ω_cτ\lesssim n_0a^2$) memory effects lead to a considerable renormalization of the Boltzmann value of the Hall coefficient: $δR / R \sim 1 .$ With increasing magnetic field, the relative correction to $R$ decreases, then changes sign, and saturates at the value $δR / R \sim -n_0a^2 .$ We also discuss the effect of the smooth disorder on the dependence of $R$ on $B$.

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A. P. Dmitriev, V. Yu. Kachorovskii. 2007-08-23. Sharp Magnetic Field Dependence of the 2D Hall Coefficient Induced by Classical Memory Effects. https://doi.org/10.1103/physrevb.77.193308

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