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Updated: Jul 19, 2026

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Nanofabrication of Gate-defined GaAs/AlGaAs Lateral Quantum Dots
Published on: November 1, 2013
Scanned gate microscopy of a one-dimensional quantum dot
Lingfeng M Zhang1, Michael M Fogler
1Department of Physics, University of California, San Diego, 9500 Gilman Drive, La Jolla, California 92093, USA.
Nano Letters
|October 13, 2006
Summary
Scanned gate microscopy (SGM) can image individual electrons on carbon nanotubes when electron spacing exceeds the tip
Area of Science:
- Condensed matter physics
- Nanotechnology
- Surface science
Background:
- Scanned Gate Microscopy (SGM) is a technique used to probe electronic properties at the nanoscale.
- Understanding electrostatic interactions is crucial for interpreting SGM data, especially for one-dimensional systems like carbon nanotubes.
Purpose of the Study:
- To analyze the electrostatic interaction between a sharp conducting tip and a thin one-dimensional wire (e.g., carbon nanotube) in SGM.
- To determine the conditions under which SGM can image individual electrons.
Main Methods:
- Analytical treatment of electrostatic coupling for a wire on a dielectric substrate above a backgate.
- Numerical simulations to investigate imaging capabilities.
Main Results:
- The characteristic spatial scale of electrostatic coupling is determined by the tip's height above the substrate.
- SGM can image individual electrons when their separation exceeds this characteristic scale (typically tens of nm).
- Distinctions between weakly and strongly invasive SGM regimes were identified.
Conclusions:
- The study provides a framework for understanding SGM imaging of electrons in one-dimensional nanostructures.
- The findings offer insights into optimizing SGM experiments for nanoscale electronic imaging.

