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Fractal Conductance Fluctuations in Generic Chaotic Cavities

Roland Ketzmerick
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Abstract

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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Roland Ketzmerick. 1996-07-18. Fractal Conductance Fluctuations in Generic Chaotic Cavities. https://doi.org/10.1103/physrevb.54.10841

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