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arXiv · 2308.10056

Nonlinear Hall effect in Rashba systems with hexagonal warping

Soumadeep Saha·Awadhesh Narayan
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Abstract

Rashba spin-orbit coupled systems are an important class of materials noted for diverse fundamental and applied phenomena. Recently, the emergence of non-linear Hall effect under conditions of time-reversal symmetry has been discovered in materials with broken inversion symmetry. In this work, we study the second- and third-order Hall response in Rashba systems with hexagonal warping. Starting with a low-energy model, we obtain the analytic expressions and discover the unique dipole profile in Rashba systems with hexagonal warping. Furthermore, we extend the analysis using a realistic tight-binding model. Next, we predict the existence of a third-order Hall effect in these systems, and calculate the Berry connection polarizability tensor analytically. We also show how the model parameters affect the third-order conductivity. Our predictions can help in the experimental realization of Berry curvature multipole physics in Rashba materials with hexagonal warping, and provide a new platform for engineering the non-linear Hall effects.

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Soumadeep Saha, Awadhesh Narayan. 2023-08-19. Nonlinear Hall effect in Rashba systems with hexagonal warping. https://doi.org/10.1088/1361-648x%2Facf1eb

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