What is measured in the scanning gate microscopy of a quantum point contact?

Details What is measured in the scanning gate microscopy of a quantum point contact? What is measured in the scanning gate microscopy of a quantum point contact?

2010-07-15

arxiv.org/abs/1007.2605v2

Phys. Rev. Lett. 105, 166802 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 1 figure, final version

Scientific paper

10.1103/PhysRevLett.105.166802

The conductance change due to a local perturbation in a phase-coherent nanostructure is calculated. The general expressions to first and second order in the perturbation are applied to the scanning gate microscopy of a two-dimensional electron gas containing a quantum point contact. The first-order correction depends on two scattering states with electrons incoming from opposite leads and is suppressed on a conductance plateau; it is significant in the step regions. On the plateaus, the dominant second-order term likewise depends on scattering states incoming from both sides. It is always negative, exhibits fringes, and has a spatial decay consistent with experiments.

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