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Scanning Probe Microscopy pp 103–131Cite as

Transport in the Low Conductance Regime

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Part of the book series: NanoScience and Technology ((NANO))

5.7 Summary

In this chapter we have presented an overview over the most common methods used in tunneling problems, which are, in increasing order of complexity: the Tersoff-Hamann model, the Bardeen model, the Landauer-Büttiker model, and the Keldysh model. The treatment of the tunneling junction in these models is described by one of the following: restricted to the surface only (Tersoff-Hamann); includes both sides of the junction, without considering interference effects (Bardeen); is based on elastic tunneling conditions (Landauer-Büuttiker); includes the full nonequilibrium formulation of the problem (Keldysh). Readers interested in a general formulation of transport theory are referred to the previous chapter, where the whole framework is treated in some detail.

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(2006). Transport in the Low Conductance Regime. In: Scanning Probe Microscopy. NanoScience and Technology. Springer, New York, NY . https://doi.org/10.1007/0-387-37231-8_5

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