Angle-Resolved Berry Curvature Measurement from a Nonlinear Hall Effect

We propose a method for measuring the Berry curvature in two dimensional materials via the Magnus Hall effect, which is semiclassical effect defined by a Berry curvature integral over an active region of the Brioullin zone for each electric field angle and chemical potential. We first numerically demonstrate that the mapping is invertible, and then construct a quantum model of the ballistic transport to model impurity and quantum contributions to the noise in the measurement. Using this model we define the Bayesian inverse model and demonstrate the inversion for multilayer graphene continuum models against data from Landauer-Buttiker simulation. This technique may be useful for experimentally characterizing the topology of two dimensional materials and heterostructures.