# Extracting the Density Profile of an Electronic Wave Function in a Quantum Dot

 Title: Extracting the Density Profile of an Electronic Wave Function in a Quantum Dot Author: Boyd, Erin E.; Westervelt, Robert M. Note: Order does not necessarily reflect citation order of authors. Citation: Boyd, Erin E., and Robert M. Westervelt. 2011. Extracting the density profile of an electronic wave function in a quantum dot. Physical Review B 84(20): 205308. Full Text & Related Files: extracting_the_density_profile.pdf (1.118Mb; PDF)  extracting_the_density_profile.doc (1.044Mb; Microsoft Word) Abstract: We use a model of a one-dimensional nanowire quantum dot to demonstrate the feasibility of a scanning probe microscope (SPM) imaging technique that can extract both the energy of an electron state and the amplitude of its wave function using a single instrument. This imaging technique can probe electrons that are buried beneath the surface of a low-dimensional semiconductor structure and provide valuable information for the design of quantum devices. A conducting SPM tip, acting as a movable gate, measures the energy of an electron state using Coulomb blockade spectroscopy. When the tip is close to the nanowire dot, it dents the wave function $$\Psi(x)$$ of the quantum state, changing the electron's energy by an amount proportional to $$\mid\Psi(x)\mid^2$$. By recording the change in energy as the SPM tip is moved along the length of the dot, the density profile of the electronic wave function can be found along the length of the quantum dot. Published Version: doi:10.1103/PhysRevB.84.205308 Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:9366598 Downloads of this work: