2004/11/19 by J. Oswald, Josef Oswald, Oswald, Josef
Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum and electron transport phenomena #Semiconductor Quantum Structures and Devices #cond-mat.mes-hall
paper · pdf · doi:10.48550/arxiv.cond-mat/0411527
11 pages, 11 figures
arxiv created 2004/11/19 · openalex publication_date 2004/11/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In preceding papers a Landauer-Buttiker type representation of bulk current\ntransport has been successfully used for the numerical simulation of the\nmagneto transport of 2-dimensional electron systems in the high magnetic field\nregime. In this paper it is demonstrated, that this representation is in full\nagreement with a treatment of the bulk current transport as a tunneling process\nbetween magnetic bound states. Additionally we find a correspondence between\nour network representation and the bulk current picture in terms of mixed\nphases mapped on a checkerboard: At half filled Landau level (LL) coupled\ndroplets of a quantum Hall (QH) liquid phase and coupled droplets of an\ninsulator phase phase exist at the same time, with each of them occupying half\nof the sample area. Removing a single electron from to such a QH liquid droplet\nat half filling completes the QH transition to the next higher QH plateau.\nAdding a single electron to such a droplet at half filling completes the QH\ntransition to the previous lower QH plateau. As a consequence, the sharpness of\nthe QH plateau transitions on the magnetic field axis depends on the typical\nsize of the droplets, which can be understood as a measure of the disorder in\nthe sample.\n