Scanning Tunneling Microscope I-V curve

Edge5
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I know that scanning tunneling microscopy (STM) I-V curve is exponential for a conducting sample.
How would it look like if I had a semiconductor and a non-conductor sample?
 
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Scanning tunneling microscopy is based on the flow of an electrical current. Thus, this method isn’t suited to directly image electrically insulating material. Regarding metals and semiconductors, the current-voltage characteristics depends on the density of electron states of the tip and sample material. Have a look at http://hoffman.physics.harvard.edu/research/STMtechnical.php
 
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