I'm trying to wrap my head around the fact that graphene has a huge electron mobility and a zero density of states (DOS) at the Fermi energy (EF) – yet some other materials can be known as poor conductors and have a non-zero DOS.
Graphene's scanning tunneling spectroscopy (STS) dI/dV(V) curves have a clear V-like shape, and I wonder if one can estimate the charge mobility µ (just looking for an order of magnitude) from these curves. The STS procedure is based on setting up a set-point, and I suspect that the initial tunneling conditions (I(z) characteristics and the tunneling distance z0 mainly) are probably going to impact drastically the hypothetical extraction of µ.
What motivates my question is that I'm curious to know, whether or not, the tunneling differential conductance can be used to compare some aspects of charge transport properties across different materials, or if Hall-bar measurements are essential.
Any input is valuable! I have worked with STM and STS in the past and I am back to using these beautiful techniques, and would like to expand my understanding.
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