Angle-Resolved Berry Curvature via Nonlinear Hall Effect of Ballistic Electrons

Louis Primeau; Qiong Ma; Yang Zhang

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arXiv · 2603.17972

Angle-Resolved Berry Curvature via Nonlinear Hall Effect of Ballistic Electrons

Louis Primeau·Qiong Ma·Yang Zhang

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Abstract

Berry curvature fundamentally dictates the topological ground state, anomalous transport and optical properties of quantum materials. However, directly mapping its momentum-space distribution in real materials remains an outstanding experimental challenge. Here, we present an inverse method for reconstructing the abelian Berry curvature of a single band using angle-resolved measurements of the transverse conductance. Our inversion relies on a symmetry-constrained statistical model with two hyperparameters that can be inferred directly from the nonlinear Hall conductance, yielding a parameter-free inversion method. We demonstrate the feasibility of our method using simulated measurements of tight-binding models of WSe$_2$ and $ABC$-stacked trilayer graphene.

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Louis Primeau, Qiong Ma, Yang Zhang. 2026-03-18. Angle-Resolved Berry Curvature via Nonlinear Hall Effect of Ballistic Electrons. https://arxiv.org/abs/2603.17972

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