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Fractal Conductance Fluctuations in a Soft Wall Stadium and a Sinai Billiard

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arxiv cond-mat/9709091 v2 pith:5U4I2CQI submitted 1997-09-08 cond-mat.mes-hall chao-dynnlin.CD

A.S. Sachrajda , R. Ketzmerick , C. Gould , Y. Feng , P.J. Kelly , A.Delage , Z. Wasilewski This is my paper · ORCID
classification cond-mat.mes-hallchao-dynnlin.CD
keywords fluctuationsfractalbilliardchaoticconductanceregularsinaisoft
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Conductance fluctuations have been studied in a soft wall stadium and a Sinai billiard defined by electrostatic gates on a high mobility semiconductor heterojunction. These reproducible magnetoconductance fluctuations are found to be fractal confirming recent theoretical predictions of quantum signatures in classically mixed (regular and chaotic) systems. The fractal character of the fluctuations provides direct evidence for a hierarchical phase space structure at the boundary between regular and chaotic motion.

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