Bonn 2000 – scientific programme

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A: Atomphysik

A 8: Theorie Semi–Klassik

A 8.7: Talk

Tuesday, April 4, 2000, 15:30–15:45, HS IV

Semiclassical Electron Scattering in Open Quantum Billiards — •Ludger Wirtz, Stefan Rotter, and Joachim Burgdörfer — Institut für Theoretische Physik, TU Wien, Austria

Two-dimensional open ballistic microstructures can be viewed as "designer atoms" and constitute a link between electron scattering at atoms and quantum transport in solid state physics. The conductance, i.e. the cross section, of such a phase-coherent system displays strong fluctuations as a function of the Fermi energy of the electrons which result from a high density of Feshbach resonances in the open quantum dots. The Fourier spectrum of these fluctuations displays characteristic peaks whose positions and heights can be determined by a semiclassical path analysis. The simplicity of the system allows an accurate calculation of a very large number of trajectories. This makes it possible to investigate the convergence of different levels of semiclassical approximations [1] towards the exact quantum mechanical S-matrix and the importance of diffraction effects [2] for the unitarity of the semiclassical S-matrix.

[1] L. Wirtz, J.-Z. Tang, and J. Burgdörfer, Phys. Rev. B 56, 7589 (1997)

[2] M. Sieber, N. Pavloff, and C. Schmit, Phys. Rev. E 55, 2279 (1997)