2006/12/15 by Christoph Sohrmann, C Sohrmann, Rudolf A. Roemer +1
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.dis-nn #cond-mat.mes-hall
paper · pdf · doi:10.1088/1367-2630/9/4/097
published as New J. Phys. 9, 97-22 (2007) · 23 pages, 12 figures, submitted to New J. Phys
arxiv created 2006/12/15 · openalex publication_date 2007/04/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We numerically investigate the interplay of disorder and electron–electron interactions in the integer quantum Hall effect. In particular, we focus on the behaviour of the electronic compressibility as a function of magnetic field and electron density. We find manifestations of nonlinear screening and charging effects around integer filling factors, consistent with recent imaging experiments. Our calculations exhibit g -factor enhancement as well as strong overscreening in the centre of the Landau bands. Even though the critical behaviour appears mostly unaffected by interactions, important implications for the phase diagram arise. Our results are in very good agreement with the experimental findings and strongly support the relevance of electron–electron interactions for understanding integer quantum Hall physics.