ФТП, 2008, том 42, выпуск 8: page 950...

ФТП, 2008, том 42, выпуск 8

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Magnetotransport in a 2D system with strong scatterers: renormalization of Hall coefficient caused by non-Markovian effects

A.P.Dmitriev, V.Yu.Kachorovskii^\kern2pt

Ioffe Physicotechnical Institute, Russian Academy of Sciences,
194021 St. Petersburg, Russia

(Получена 6 февраля 2008 г. Принята к печати 11 февраля 2008 г.)

We show that a sharp dependence of the Hall coefficient

R

on the magnetic field

B

arises in two-dimensional electron systems with strong scatterers. The phenomenon is due to classical memory effects. We calculate analytically the dependence of

R

B

for the case of scattering by antidots (modeled by hard disks of radius

a

), rendomly distributed with concentration

n

₀<<1/a². We demonstrate that in very weak magnetic fields (

omega_ctau_tr=<sssim n₀a²) memory effects lead to a considerable renormalization of the Boltzmann value of the Hall coefficient:

delta R/R~1. With increasing magnetic field, the relative correction to

R

decreases, then changes sign, and saturates at the value

delta R/R~-n₀a². We also discuss the effect of the smooth disorder on the dependence of

R

B

PACS: 05.60.+w, 73.43.Qt, 73.50.Bk, 73.50.Jt, 73.63.Hs

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