Imaging Fractal Conductance Fluctuations and Scarred Wave Functions in a Quantum Billiard

Details Imaging Fractal Conductance Fluctuations and Scarred Wave Functions in a Quantum Billiard Imaging Fractal Conductance Fluctuations and Scarred Wave Functions in a Quantum Billiard

2003-10-27

arxiv.org/abs/cond-mat/0310626v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 4 figures To be published in PRL

Scientific paper

10.1103/PhysRevLett.91.246803

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.

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