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We take into account the fact that the EFM spatial resolution will dramatically degrade at large tip-sample distance and consequently compromise its application capability. We hereby limited the lift height in the measurement to a moderate range from 500 to 1600 nm. On the other hand, strong nonlinear effects caused by the large electric field in tip-sample gap were observed when the tip is set close to the sample surface, usually occurring at a lift height of a few hundreds of nanometers.
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