“…[3][4][5][6][7] Conductive atomic force microscopy ͑CAFM͒ has been widely used to evaluate the electrical conduction of polycrystalline high-k dielectrics. Whereas some studies have suggested that conduction through the polycrystalline films occurs primarily through the bulk of the grains, 8,9 others have demonstrated that the leakage current flows preferentially through the grain boundaries ͑GBs͒, 3,7,10,11 which agrees with the results of ab initio calculations. 12 Besides generally expected differences associated with the intrinsic properties of the studied materials, such a discrepancy could be caused by the limits of the CAFM lateral resolution, which are close to the characteristic GB width.…”