{ "id": "cond-mat/9908123", "version": "v1", "published": "1999-08-09T09:30:35.000Z", "updated": "1999-08-09T09:30:35.000Z", "title": "Frequency dependent conductivity in the integer quantum Hall effect", "authors": [ "A. Bäker", "L. Schweitzer" ], "comment": "4 pages LaTeX (annalen.cls), 3 ps-figures included. Proceedings of Localisation 1999, Hamburg, Germany; to appear in Annalen der Physik (Leipzig)", "journal": "Ann. Phys. (Leipzig) 8 (1999) Spec. Issue, SI-21 -- SI-24", "categories": [ "cond-mat.dis-nn", "cond-mat.mes-hall" ], "abstract": "Frequency dependent electronic transport is investigated for a two-dimensional disordered system in the presence of a strong perpendicular static magnetic field. The ac-conductivity is calculated numerically from Kubo's linear response theory using a recursive Green's function technique. In the tail of the lowest Landau band, we find a linear frequency dependence for the imaginary part of $\\sigma_{xx}(\\omega)$ which agrees well with earlier analytical calculations. On the other hand, the frequency dependence of the real part can not be expressed by a simple power law. The broadening of the $\\sigma_{xx}$-peak with frequency in the lowest Landau band is found to exhibit a scaling relation from which the critical exponent can be extracted.", "revisions": [ { "version": "v1", "updated": "1999-08-09T09:30:35.000Z" } ], "analyses": { "keywords": [ "integer quantum hall effect", "frequency dependent conductivity", "lowest landau band", "strong perpendicular static magnetic field", "frequency dependent electronic transport" ], "tags": [ "journal article" ], "note": { "typesetting": "LaTeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1999cond.mat..8123B" } } }