Fractal Conductance Fluctuations in Gold--Nanowires

Details Fractal Conductance Fluctuations in Gold--Nanowires Fractal Conductance Fluctuations in Gold--Nanowires

1996-06-20

arxiv.org/abs/cond-mat/9606150v3

Phys. Rev. Lett. 77, 3885-3888 (1996)

Physics

Condensed Matter

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

Scientific paper

10.1103/PhysRevLett.77.3885

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.

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