Fractal Conductance Fluctuations in Generic Chaotic Cavities

Details Fractal Conductance Fluctuations in Generic Chaotic Cavities Fractal Conductance Fluctuations in Generic Chaotic Cavities

1995-10-02

arxiv.org/abs/cond-mat/9510007v2

Phys. Rev. B 54 (1996) 10841

Physics

Condensed Matter

final version (with minor additions) to be published in Phys. Rev. B, 5 pages, postscript

Scientific paper

10.1103/PhysRevB.54.10841

It is shown that conductance fluctuations due to phase coherent ballistic transport through a chaotic cavity generically are fractals. The graph of conductance vs. externally changed parameter, e.g. magnetic field, is a fractal with dimension D=2-b/2 between 1 and 2. It is governed by the exponent b (<2) of the power law distribution P(t) ~ t^{-b} for a classically chaotic trajectory to stay in the cavity up to time t, which is typical for chaotic systems with a mixed (chaotic and regular) phase space. The phenomenon should be observable in semiconductor nanostructures and microwave billiards.

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