Regensburg 2010 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 19: Quantum Chaos
DY 19.3: Talk
Wednesday, March 24, 2010, 14:45–15:00, H38
Semiclassical Transport and Diffraction Effects in Circular Billiards — •Tobias Dollinger1, Daniel Waltner1, Iva Březinová2, Michael Wimmer3, Klaus Richter1, and Joachim Burgdörfer2 — 1Institute for Theoretical Physics, University of Regensburg, Universitätsstraße 31, 93053 Regensburg, Germany — 2Institute for Theoretical Physics, Vienna University of Technology, Wiedner Hauptstraße 8-10, 1040 Vienna, Austria — 3Leiden Institute of Physics, Leiden University, Niels Bohrweg 2, 2333 CA Leiden, The Netherlands
In the present work we investigate the magnetoconductance of two dimensional circular billiards by numerical and analytical means. In ballistic chaotic cavities semiclassical theories have provided remarkably accurate analytical descriptions of interference phenomena, such as weak localization. However, previous examinations of the circular billiard have indicated that the standard trajectory based techniques do not describe the weak localization effect in this nongeneric setup sufficiently well. The significance of diffractive orbits in this context has been emphasized in earlier works. This is supported by our numerical findings. Moreover we present a semiclassical formalism specialized for the description of the underlying classical system and discuss the consequences of incorporating diffraction.