Dephasing time and magnetoresistance of two-dimensional electron gas in spatially modulated magnetic fields

Abstract

The effect of a spatially modulated magnetic field on the weak localization phenomenon in two-dimensional electron gas (2DEG) is studied. Both the dephasing time ${\tau }_H$ and magnetoresistance are shown to reveal a nontrivial behavior as functions of the characteristics of magnetic field profiles. The magnetic field profiles with rather small spatial scales $d$ and modulation amplitudes $H_0$ such that $H_0{d}^2\ll \hslash c/e$ are characterized by the dephasing rate ${\tau }_H^{-1}\propto H_0^2{d}^2$. The increase in the flux value $H_0{d}^2$ results in a crossover to a standard linear dependence ${\tau }_H^{-1}\propto H_0$. Applying an external homogeneous magnetic field $H$ one can vary the local dephasing time in the system and affect the resulting average transport characteristics. We have investigated the dependence of the average resistance vs the field $H$ for some generic systems and predict a possibility to observe a positive magnetoresistance at not too large $H$ values. The resulting dependence of the resistance vs $H$ should reveal a peak at the field values $H\sim H_0$.

12 pages, 5 figures