Abstract

Magnetoconductance fluctuations in quantum cavities are numerically calculated for soft-wall confinement potentials. Employing a tight-binding lattice consisting of $200\ifmmode\times\else\texttimes\fi{}200$ sites, the conductance fluctuations are confirmed to be fractal for one order of magnitude in magnetic-field scale. We find no emergence of self-affine conductance fluctuations with fine scales in a Sinai billiard, suggesting that the hierarchical phase space structure in the underlying classical dynamics alone cannot explain recent experimental observations.

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