Theoretical Description of Scanning Tunneling Potentiometry

Details Theoretical Description of Scanning Tunneling Potentiometry Theoretical Description of Scanning Tunneling Potentiometry

2010-07-09

arxiv.org/abs/1007.1512v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

14 pages, 7 figures

Scientific paper

A theoretical description of scanning tunneling potentoimetry (STP) measurement is presented to address the increasing need for a basis to interpret experiments on macrscopic samples. Based on a heuristic understanding of STP provided to facilitate theoretical understanding, the total tunneling current related to the density matrix of the sample is derived within the general framework of quantum transport. The measured potentiometric voltage is determined implicitly as the voltage necessary to null the tunneling current. Explicit expressions of measured voltages are presented under certain assumptions, and limiting cases are discussed to connect to previous results. The need to go forward and formulate the theory in terms of a local density matrix is also discussed.

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