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

TL;DR

This paper provides a theoretical analysis of magnetotransport in gated silicene with spin-orbit coupling, revealing a beating pattern in oscillations and offering a method to determine the spin-orbit coupling constant.

Contribution

It introduces an analytical beating condition for oscillations in silicene and explores the effects of spatial modulation on conductivities, advancing understanding of spin-orbit effects in 2D materials.

Findings

Beating pattern in Weiss and SdH oscillations due to spin-orbit coupling and electric field.

Analytical condition to determine spin-orbit coupling constant from oscillation nodes.

Numerical results showing modulation effects on conductivities.

Abstract

We report theoretical study of magnetotransport coefficients of spin-orbit coupled gated silicene in presence and absence of spatial periodic modulation. The combined effect of spin-orbit coupling and perpendicular electric field manifests through formation of 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.