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. © Springer-Verlag Berlin Heidelberg 2006.
CITATION STYLE
Rotter, S., Weingartner, B., Libisch, F., Aigner, F., Feist, J., & Burgdörfer, J. (2006). A modular method for the efficient calculation of ballistic transport through quantum billiards. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 3743 LNCS, pp. 586–593). https://doi.org/10.1007/11666806_67
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