Fractal Conductance Fluctuations in Gold--Nanowires

Abstract

A detailed analysis of magneto-conductance fluctuations of quasiballistic gold-nanowires of various lengths is presented. We find that the variance $<(\Delta G{)}^2>=<(G(B)-G(B+\Delta B){)}^2>$ when analyzed for $\Delta B$ much smaller than the correlation field $B_c$ varies according to $<(\Delta G{)}^2>\propto \Delta B^{\gamma }$ with $\gamma <2$ 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 $\gamma$ decreases with increasing length of the wires.

5 pages, Revtex with epsf, 4 Postscript figures, final version accepted as Phys. Rev. Lett

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• Weak-Localization in Chaotic Versus Non-Chaotic Cavities: A Striking Difference in the Line Shape
• Weak-Localization and Integrability in Ballistic Cavities

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