Fig. 2: LPFM mapping in t-BN layers and the construction of an IP piezoresponse vector map.

The exemplified LPFM amplitude (a, b) and phase (c, d) images of the t-BN layers obtained before (a, c) and after (b, d) the sample is rotated anticlockwise at different angles (namely, 0° and 90°) relative to the initial state. The angles in the figures denote the rotational angle relative to the initial orientation of the sample and the different. It should be noted that the direction of the cantilever is maintained unchanged during the whole experiment. e The relationship between the LPFM response intensity and the rotational angle α, which is expected to be expressed by a trigonometric function. f The IP piezoresponse vector distribution of a local region in the t-BN layers corresponding to the region in (a, b). The gray arrows in (c, d) denote the orientation of the cantilever and the double-headed arrows indicate the scan direction.