Numerical model with intersection inhomogeneity and validation of Drude behavior for multi-terminal devices

Develop a numerical transport model that incorporates spatial inhomogeneity of E_x and E_y near intersections in multi-terminal Hall bars (for example via a path-integral formulation), and determine whether this corrected model yields perfect agreement with measured multi-terminal current divisions and confirms that the Drude model correctly describes diffusive transport for devices with more than three terminals.

Background

The authors note that while a three-terminal configuration is captured well by the Drude model, discrepancies arise in four-terminal geometries between plateaus, which they attribute to inhomogeneous fields near intersections.

They propose constructing a more realistic numerical scheme that explicitly accounts for intersection inhomogeneity and conjecture that such a model would reconcile theory with experiment and uphold the Drude description for more than three terminals.