Fractal dynamics in chaotic quantum transport

ORAL

Abstract

Despite several experiments on chaotic quantum transport, corresponding ab initio quantum simulations 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. Applying a large set of magnetic fields yields a complete picture of the magnetoconductance that indicates fractal scaling on intermediate time scales. Two methods that originate from different fields of physics are used to analyze the scaling exponent and the fractal dimension. They lead to consistent results that, in turn, qualitatively agree with the previous experimental data.

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Authors

  • Esa Rasanen

    Department of Physics, Tampere University of Technology, Finland, Tampere University of Technology, University of Jyvaskyla, and Haravrd University, Department of Physics, Tampere University of Technology

  • Ville Kotimaki

    Department of Physics, University of Jyvaskyla, Finland

  • H. Hennig

    Physics Department, Harvard University, USA, Harvard University

  • Eric Heller

    Physics Department, Harvard University, USA