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The nanomechanial quantities will be influenced by the properties of the sample down to a depth that corresponds to approximately twice the indentation depth (1-2 nm).
I would like to ask
1- Is this true?
2- Is there any related reference?
In general, that is not true. It depends on the radius of the tip, among other things.
For a short discussion, you could read section 6.2 of Donna Hurley's book chapter in Applied Scanning Probe Methods Vol. XI, which is available here:
http://www.nist.gov/customcf/get_pdf.cfm?pub_id=854174
If you are really interested, you could read Contact Mechanics by K. L. Johnson, which is available here:
http://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&ved=0CDcQFjAA&url=http%3A%2F%2Flipenebooks.googlecode.com%2Fsvn%2Ftrunk%2FContact%2520Mechanics%2FCONTACT%2520MECHANICS.pdf&ei=TnZkUabpHMXD4APn-YGwBg&usg=AFQjCNEwmLXR_JtkI7qSb8sqdgLAm1QITA&sig2=OmZnsODj9LxhzxjMKRmXCw&bvm=bv.44990110,d.dmg&cad=rja