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

Abstract

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 ${\mathbf{B}}_1=B_1\cos (qx)\hat{z}$, 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.

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

References in corpus (3)

• Dissipationless Quantum Spin Current at Room Temperature
• Energy spectra for quantum wires and 2DEGs in magnetic fields with Rashba and Dresselhaus spin-orbit interactions
• Hall Conductance of a Two-Dimensional Electron Gas with Spin-Orbit Coupling at the Presence of Lateral Periodic Potential

Cited by in corpus (5)

• Valley-polarized magnetoconductivity and particle-hole symmetry breaking in a periodically modulated $\alpha$-${\mathcal{T}}_3$ lattice
• Signature of tilted Dirac cones in Weiss oscillations of $8-Pmmn$ borophene
• In-plane electric field effect on a spin-orbit coupled two-dimensional electron system in presence of magnetic field
• Magnetotransport properties of an unconventional Rashba spin-orbit coupled two-dimensional electronic system
• Modulation effect on the spin Hall resonance