Fractal dynamics in chaotic quantum transport
Kotimäki, V., Räsänen, E., Hennig, H., & Heller, E. J. (2013). Fractal dynamics in chaotic quantum transport. Physical Review E, 88 (2), 022913. doi:10.1103/PhysRevE.88.022913
Published inPhysical Review E
© 2013 American Physical Society. Published in this repository with the kind permission of the publisher.
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.