A Modular Method for the Efficient Calculation of Ballistic Transport Through Quantum Billiards

  • S. Rotter
  • B. Weingartner
  • F. Libisch
  • F. Aigner
  • J. Feist
  • J. Burgdörfer
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3743)

Abstract

We present a numerical method which allows to efficiently calculate quantum transport through phase-coherent scattering structures, so-called “quantum billiards”. Our approach consists of an extension of the commonly used Recursive Green’s Function Method (RGM), which proceeds by a discretization of the scattering geometry on a lattice with nearest-neighbour coupling. We show that the efficiency of the RGM can be enhanced considerably by choosing symmetry-adapted grids reflecting the shape of the billiard. Combining modules with different grid structure to assemble the entire scattering geometry allows to treat the quantum scattering problem of a large class of systems very efficiently. We will illustrate the computational challenges involved in the calculations and present results that have been obtained with our method.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • S. Rotter
    • 1
  • B. Weingartner
    • 1
  • F. Libisch
    • 1
  • F. Aigner
    • 1
  • J. Feist
    • 1
  • J. Burgdörfer
    • 1
  1. 1.Institute for Theoretical PhysicsVienna University of TechnologyViennaAustria

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