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

Abstract

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.

5 pages, 4 figures To be published in PRL

References in corpus (3)

• Coherent Branched Flow in a Two-Dimensional Electron Gas
• Fractal Conductance Fluctuations in Generic Chaotic Cavities
• Fractal Conductance Fluctuations in a Soft Wall Stadium and a Sinai Billiard

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