“…One promising STM-based spectroscopy to investigate nanometer-scale roughness of electric interfaces in actual devices is vacuum-gap modulation (VGM) spectroscopy, also called barrier-height spectroscopy. 21,23,41,52,55,56) In this method, while the STM probe was scanning the sample, small modulation of the STM probe-sample gap was introduced at a frequency of 10-20 kHz with a small amplitude dZ of 20 pm by applying a sinusoidal voltage to the STM piezo-scanner. Current response dI was measured with a lock-in ampliˆer at each point of the topographical image.…”