Magnetotransport properties of two-dimensional fermions with $k$-cubic Rashba spin-orbit interaction

TL;DR

This paper investigates the magnetotransport properties of two-dimensional fermions with k-cubic Rashba spin-orbit interaction, analyzing resistivity oscillations and Hall effects through analytical and numerical methods.

Contribution

It provides a detailed analysis of magnetotransport in k-cubic Rashba systems, including empirical formulas for SdH oscillation frequencies and insights into Hall plateau modifications.

Findings

Beating patterns in longitudinal resistivity due to different SdH frequencies.

Empirical formulas accurately predict beating node locations.

Additional Hall plateau appears with increasing spin-orbit coupling.

Abstract

The spin-orbit interaction in heavy hole gas formed at $p$-doped semiconductor heterojunctions and electron gas at {\mbox SrTiO}${}_3$ surfaces is cubic in momentum. Here we report magnetotransport properties of k-cubic Rashba spin-orbit coupled two-dimensional fermionic systems. We study longitudinal (Shubnikov-de Haas (SdH) oscillations) and Hall component of the resistivity tensor analytically as well as numerically. The longitudinal resistivity shows beating pattern due to different SdH oscillation frequencies $ f_{\pm} $ for spin-up and spin-down fermions. We propose empirical forms of $ f_{\pm} $ as exact expressions are not available, which are being used to find location of the beating nodes. The beating nodes and the number of oscillations between any two successive nodes obtained from exact numerical results are in excellent agreement with those calculated from the proposed empirical form. In the Hall resistivity, an additional Hall plateau appears in between two conventional ones as spin-orbit coupling constant increases. The width of this additional plateau increases with spin-orbit coupling constant.