Simulations of imaging of the local density of states by charged probe technique for resonant cavities

摘要

We simulate scanning probe imaging of the local density of states related toscattering Fermi level wave functions inside a resonant cavity. We calculatepotential landscape within the cavity taking into account the Coulomb charge ofthe probe and its screening by deformation of the two-dimensional electron gasusing the local density approximation. Approximation of the tip potential by aLorentz function is discussed. The electron transfer problem is solved with afinite difference approach. We look for stable work points for the extractionof the local density of states from conductance maps. We find that conductancemaps are highly correlated with the local density of states when the Fermienergy level enters into Fano resonance with states localized within thecavity. Generally outside resonances the correlation between the local densityof states and conductance maps is low.