Article ID Journal Published Year Pages File Type
1860545 Physics Letters A 2016 7 Pages PDF
Abstract

•Green's function for Laplace/Poisson equation for two-dimensional materials with defects.•Sensitive to shape and nature of defects especially antidots.•Useful for thermal and electrostatic characterization of two-dimensional materials.•Suggested that Green's function is a physical characteristic of materials.•Green's function for two-dimensional materials can be measured by scanning probe microscopy.

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.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
Authors
, , ,