Quantum hall transition in real space: From localized to extended states

K. Hashimoto, C. Sohrmann, J. Wiebe, T. Inaoka, F. Meier, Y. Hirayama, R. A. Römer, R. Wiesendanger, M. Morgenstern

Research output: Contribution to journalArticlepeer-review

126 Citations (Scopus)


Using scanning tunneling spectroscopy in an ultrahigh vacuum at low temperature (T=0.3K) and high magnetic fields (B≤12T), we directly probe electronic wave functions across an integer quantum Hall transition. In accordance with theoretical predictions, we observe the evolution from localized drift states in the insulating phases to branched extended drift states at the quantum critical point. The observed microscopic behavior close to the extended state indicates points of localized quantum tunneling, which are considered to be decisive for a quantitative description of the transition.

Original languageEnglish
Article number256802
JournalPhysical Review Letters
Issue number25
Publication statusPublished - 2008 Dec 15


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