Scaling analysis of quantum geometry in second-order nonlinear transport

摘要

Abstract available in English only.

We systematically enumerate geometric and disorder-induced mechanisms of second-order nonlinear Hall transport and derive a scaling law that writes the nonlinear Hall conductivity as a polynomial of the linear longitudinal conductivity. Each mechanism has a distinct weight fingerprint, enabling quantum-geometric contributions to be disentangled from disorder backgrounds in experiments with and without time-reversal symmetry.