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

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

1997-09-08

arxiv.org/abs/cond-mat/9709091v2

Phys. Rev. Lett. 80, 1948 (1998)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 4 figures, data on Sinai geometry added to Fig.1, minor changes

Scientific paper

10.1103/PhysRevLett.80.1948

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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