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

PubMed
Authors: Crook R, Smith CG, Graham AC, Farrer I, Beere HE, Ritchie DA

Year

2003

Paper ID

13011

Status

Peer-reviewed

Abstract Read

~2 min

Abstract Words

82

Citations

N/A

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.

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  • This paper contributes to the Quantum Chemistry research area in the Quantum Articles archive.
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  • We present scanning-probe images and magnetic-field plots which reveal fractal conductance fluctuations in a quantum billiard.

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