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RESEARCH PRODUCT
Fractal dynamics in chaotic quantum transport
Ville KotimäkiEric J. HellerHolger HennigEsa RäsänenEsa RäsänenEsa Räsänensubject
ta114Condensed Matter - Mesoscale and Nanoscale PhysicsChaoticFOS: Physical sciencesNonlinear Sciences - Chaotic DynamicsSpace (mathematics)114 Physical sciencesFractal dimensionMagnetic fieldFractalQuantum dotQuantum mechanicsBallistic conductionMesoscale and Nanoscale Physics (cond-mat.mes-hall)Statistical physicsChaotic Dynamics (nlin.CD)QuantumMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-01-01 | Physical Review E |