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Green’s function technique for studying electron flow in two-dimensional mesoscopic samples

2004/11/30 by G. Metalidis, P. Bruno · 8 citations
Chemistry · Engineering · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Molecular Junctions and Nanostructures #Quantum and electron transport phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.72.235304

published as Phys. Rev. B 72, 235304 (2005) · 11 pages, 8 figures, submitted to Phys. Rev. B, completely revised version, with additional results

arxiv created 2005/07/07 · openalex publication_date 2005/12/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

With scanning probe experiments, it became possible to visualize electron flow in a two-dimensional electron gas. In this paper, a Green's function technique for efficient simulation of such experiments is presented. Interpretation of the experiments is further facilitated by a calculation of the current distribution. Furthermore, an alternative imaging method is put forward for measuring the local chemical potential. As an application, electron flow through a quantum point contact is studied. All features seen in experiments are reproduced, and an interference effect is predicted resulting from the crossing of coherent beams of electron flow.

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