2007/11/21 by M. G. Pala, Marco Pala, B. Hackens +6 · 1 citation
Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Molecular Junctions and Nanostructures #Quantum and electron transport phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.77.125310
published as Phys. Rev. B 77, 125310 (2008) · 8 pages, 8 figures
arxiv created 2007/11/21 · openalex publication_date 2008/03/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the relationship between the local density of states (LDOS) and the conductance variation \ensuremathΔG in scanning-gate-microscopy experiments on mesoscopic structures as a charged tip scans above the sample surface. We present an analytical model showing that in the linear-response regime the conductance shift \ensuremathΔG is proportional to the Hilbert transform of the LDOS and hence a generalized Kramers--Kronig relation holds between LDOS and \ensuremathΔG. We analyze the physical conditions for the validity of this relationship both for one-dimensional and two-dimensional systems when several channels contribute to the transport. We focus on realistic Aharonov--Bohm rings including a random distribution of impurities and analyze the LDOS-\ensuremathΔG correspondence by means of exact numerical simulations, when localized states or semiclassical orbits characterize the wave function of the system.