Spatial mapping of disordered 2D systems: The conductance Sudoku

Motivated by recent advances on local conductance measurement techniques at the nanoscale, timely questions are being raised about what possible information can be extracted from a disordered graphene sheet selectively interrogating its transport properties. Here we demonstrate how an inversion technique originally developed to identify number of scatterers in quantum device adapted multi-terminal setup order provide detailed spatial distribution impurities surface graphene, as well other 2D material systems. The methodology input readings (for instance, function chemical potential) between different electrode pairs, output spatially resolved impurity density. We discuss obtained resolution depends such and geometry. Furthermore, separating locations into partitions arranged grid-like geometry, this procedure resembles Sudoku puzzle which compositions sectors found imposing that they must add up specific constrained values established for grid rows columns. argue may alternative new ways extracting through selective probing quantities.