2005/08/31 by Christoph Sohrmann, Rudolf A. Römer, Rudolf A. Roemer · 1 citation
Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Quantum and electron transport phenomena #Semiconductor materials and devices #cond-mat.dis-nn #cond-mat.mes-hall
paper · pdf · doi:10.1002/pssc.200562744
published as phys. stat. sol. (c) 3, 313-316 (2005) · 4 pages, 4 figures, Proceedings of "Transport in Interacting and Disordered Systems (TIDS11)", submitted for publication in phys. stat. sol. (c), including pss style files
arxiv created 2005/08/31 · openalex publication_date 2006/01/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Abstract Electron‐electron interactions seem to play a surprisingly small role in the description of the integer quantum Hall effect, considering that for just slightly different filling factors the interactions are of utmost importance causing the interaction‐mediated fractional quantum Hall effect. However, recent imaging experiments by Cobden et al. (Phys. Rev. Lett. 82 , 4695 (1999)) [1] and Ilani et al. (Nature 427 , 328 (2004)) [2] constitute strong evidence for the importance of electron‐electron interactions even in the integer effect. The experiments report on measurements of the conductance and electronic compressibility of mesoscopic MOSFET devices that show disagreement with predictions from the single particle model. By diagonalising a random distribution of Gaussian scatterers and treating the interactions in Hartree‐Fock approximation we investigate the role of electron‐electron interactions for the integer quantum Hall effect and find good agreement with the experimental results. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)