Magnetotransport properties of a magnetically modulated two-dimensional electron gas with the spin-orbit interaction

Details Magnetotransport properties of a magnetically modulated two-dimensional electron gas with the spin-orbit interaction Magnetotransport properties of a magnetically modulated two-dimensional electron gas with the spin-orbit interaction

2011-06-17

arxiv.org/abs/1106.3475v3

Journal of Physics: Condensed Matter 24, 185303 (2012)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages, 5 figures, re-written with new results

Scientific paper

10.1088/0953-8984/24/18/185303

We study the electrical transport properties of a two-dimensional electron gas with the Rashba spin-orbit interaction in presence of a constant perpendicular magnetic field $(B_0 \hat z)$ which is weakly modulated by ${\bf B_1} = B_1 \cos (q x) \hat z$, where $B_1 \ll B_0 $ and $q = 2 \pi/a $ with $a$ is the modulation period. We obtain the analytical expressions of the diffusive conductivities for spin-up and spin-down electrons. The conductivities for spin-up and spin-down electrons oscillate with different frequencies and produce beating patterns in the amplitude of the Weiss and Shubnikov-de Haas oscillations. We show that the Rashba strength can be determined by analyzing the beating pattern in the Weiss oscillation. We find a simple equation which determines the Rashba spin-orbit interaction strength if the number of Weiss oscillations between any two successive nodes is known from the experiment. We compare our results with the electrically modulated 2DEG with the Rashba interaction. For completeness, we also study the beating pattern formation in the collisional and the Hall conductivities.

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