Frequency dependent conductivity in the integer quantum Hall effect

dc.creatorBäker, A.
dc.creatorSchweitzer, L.
dc.date1999-08-09
dc.date.accessioned2026-07-07T03:14:10Z
dc.date.available2026-07-07T03:14:10Z
dc.descriptionFrequency 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 $σ_{xx}(ω)$ 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 $σ_{xx}$-peak with frequency in the lowest Landau band is found to exhibit a scaling relation from which the critical exponent can be extracted.
dc.description4 pages LaTeX (annalen.cls), 3 ps-figures included. Proceedings of Localisation 1999, Hamburg, Germany; to appear in Annalen der Physik (Leipzig)
dc.identifierhttps://arxiv.org/abs/cond-mat/9908123
dc.identifierhttp://arxiv.org/abs/cond-mat/9908123
dc.identifierAnn. Phys. (Leipzig) 8 (1999) Spec. Issue, SI-21 -- SI-24
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/29572
dc.subjectDisordered Systems and Neural Networks
dc.subjectMesoscale and Nanoscale Physics
dc.titleFrequency dependent conductivity in the integer quantum Hall effect
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