Imaging fractal conductance fluctuations and scarred wave functions in a quantum billiard

We present scanning-probe images and magnetic-field plots which reveal fractal conductance fluctuations in a quantum billiard. The quantum billiard is drawn and tuned using erasable electrostatic lithography, where the scanning probe draws patterns of surface charge in the same environment used for...

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Bibliographic Details
Published in:Physical review letters 2003-12, Vol.91 (24), p.246803-246803, Article 246803
Main Authors: Crook, R, Smith, C G, Graham, A C, Farrer, I, Beere, H E, Ritchie, D A
Format: Article
Language:English
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Summary:We present scanning-probe images and magnetic-field plots which reveal fractal conductance fluctuations in a quantum billiard. The quantum billiard is drawn and tuned using erasable electrostatic lithography, where the scanning probe draws patterns of surface charge in the same environment used for measurements. A periodicity in magnetic field, which is observed in both the images and plots, suggests the presence of classical orbits. Subsequent high-pass filtered high-resolution images resemble the predicted probability density of scarred wave functions, which describe the classical orbits.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.91.246803