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Updated: Feb 26, 2026

Scanning-probe Single-electron Capacitance Spectroscopy
Published on: July 30, 2013
Green's function modeling of response of two-dimensional materials to point probes for scanning probe microscopy
V K Tewary1, Rebecca C Quardokus1, Frank W DelRio1
1Applied Chemicals and Materials Division, NIST, Boulder, CO 80305, USA.
Abstract:
A Green's function (GF) method is developed for interpreting scanning probe microscopy (SPM) measurements on new two-dimensional (2D) materials. GFs for the Laplace/Poisson equations are calculated by using a virtual source method for two separate cases of a finite material containing a rectangular defect and a hexagonal defect. The prescribed boundary values are reproduced almost exactly by the calculated GFs. It is suggested that the GF is not just a mathematical artefact but a basic physical characteristic of material systems, which can be measured directly by SPM for 2D solids. This should make SPM an even more powerful technique for characterization of 2D materials.
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