  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.
