Dresden 2011 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 38: Poster Session Transport

TT 38.29: Poster

Mittwoch, 16. März 2011, 14:00–18:00, P3

Time-dependent approach to mesoscopic transport — •Tobias Kramer — Institute for Theoretical Physics, Uni Regensburg

Transport and scattering phenomena in open quantum-systems with a continuous energy spectrum are conveniently solved using the time-dependent Schrodinger equation [1]. In the time-dependent picture, the evolution of an initially localized wave-packet reveals the eigenstates and eigenvalues of the system under consideration. We discuss applications of the wave-packet method to mesoscopic systems and point out specific advantages of the time-dependent approach. In connection with the familiar initial value formulation of classical mechanics, an intuitive interpretation of transport emerges. For interacting many-particle systems, we discuss the efficient calculation of the self-consistent classical transport in the presence of a magnetic field.
T. Kramer, Time dependent approach to transport and scattering in atomic and mesoscopic systems, arXiv:1011.3194
T. Kramer, V. Krueckl, E. Heller, and R. Parrott: Self-consistent calculation of electric potentials in Hall devices, Phys. Rev. B, 81, 205306 (2010)