Real Space Characterization of Nonlinear Hall Effect in Confined Directions

TL;DR

This study provides real space insights into the nonlinear Hall effect in TaIrTe4 nanoribbons, revealing how quantum confinement and local atomic patterns influence the effect without relying on Berry curvature dipole data.

Contribution

It introduces a novel real space characterization method for NLHE, including atomic-scale probing, and links local charge patterns to the effect's non-centrosymmetric origin.

Findings

Quantum confinement affects NLHE magnitude.

Atomic-scale local patterns influence Hall voltage.

Charge distribution links to non-centrosymmetry.

Abstract

The nonlinear Hall effect (NLHE) is a phenomenon which could produce a transverse Hall voltage in a time-reversal-invariant material. Here, we report the real space characterization of NLHE evaluated through quantum transport in TaIrTe4 nanoribbon without the explicit Berry curvature dipole (BCD) information. We first characterize the NLHE in both transverse confined directions in global-level measurement. The impact of quantum confinement in NLHE is evaluated by adjusting the width of nanoribbons. Then, the probing area is trimmed to the atomic scale to evaluate the local texture, where we discover its unique patterns among the probed atomic groups for the first time. The analysis of charge distribution reveals the connections between NLHE's local patterns and its non-centrosymmetric nature, rendering nearly an order of Hall voltage enhancement through probe positioning. Our work paves the way to expand the range of NLHE study and unveil its physics in more versatile material systems.