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Fractal Conductance Fluctuations in Gold--Nanowires

Helmut Hegger·Klaus Hecker·Gernot Reckziegel·Axel Freimuth·Bodo Huckestein·Martin Janssen·Rüdiger Tuzinski
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Abstract

A detailed analysis of magneto-conductance fluctuations of quasiballistic gold-nanowires of various lengths is presented. We find that the variance $<(ΔG)^2> = < (G(B)-G(B+ΔB))^2>$ when analyzed for $ΔB$ much smaller than the correlation field $B_c$ varies according to $<(ΔG)^2>\propto ΔB^γ$ with $γ< 2$ indicating that the graph of $G$ vs. $B$ is fractal. We attribute this behavior to the existence of long-lived states arising from chaotic trajectories trapped close to regular classical orbits. We find that $γ$ decreases with increasing length of the wires.

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Helmut Hegger, Klaus Hecker, Gernot Reckziegel, Axel Freimuth, Bodo Huckestein, Martin Janssen, Rüdiger Tuzinski. 1996-06-30. Fractal Conductance Fluctuations in Gold--Nanowires. https://doi.org/10.1103/physrevlett.77.3885

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