Beating pattern in quantum magnetotransport coefficients of spin–orbit coupled Dirac fermions in gated silicene

Abstract

We report a theoretical study of magnetotransport coefficients of spin–orbit coupled gated silicene in the presence and absence of spatial periodic modulation. The combined effect of spin–orbit coupling and perpendicular electric field manifests through the formation of a regular beating pattern in Weiss and SdH oscillations. Analytical results, in addition to the numerical results, of the beating pattern formation are provided. The analytical results yield a beating condition which will be useful to determine the spin–orbit coupling constant by simply counting the number of oscillation between any two successive nodes. Moreover, the numerical results of modulation effect on collisional and Hall conductivities are presented.