title: Fractal dynamics in chaotic quantum transport.
abstract: Despite several experiments on chaotic quantum transport in two-dimensional systems such as semiconductor quantum dots, corresponding quantum simulations within a real-space model have been out of reach so far. Here we carry out quantum transport calculations in real space and real time for a two-dimensional stadium cavity that shows chaotic dynamics. By applying a large set of magnetic fields we obtain a complete picture of magnetoconductance that indicates fractal scaling. In the calculations of the fractality we use detrended fluctuation analysis-a widely used method in time-series analysis-and show its usefulness in the interpretation of the conductance curves. Comparison with a standard method to extract the fractal dimension leads to consistent results that in turn qualitatively agree with the previous experimental data.
authors.affiliation: Nanoscience Center, Department of Physics, University of Jyväskylä, FI-40014 Jyväskylä, Finland.
authors.forename: V
authors.initials: V
authors.lastname: Kotimäki
authors.forename: E
authors.initials: E
authors.lastname: Räsänen
authors.forename: H
authors.initials: H
authors.lastname: Hennig
authors.forename: E J
authors.initials: EJ
authors.lastname: Heller