Berlin 2008 – scientific programme
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HL: Fachverband Halbleiterphysik
HL 31: Poster II
HL 31.15: Poster
Tuesday, February 26, 2008, 16:30–19:00, Poster D
Imaging electron flow via magnetic focusing: Theory and Experiment — •Tobias Kramer1,2, Eric Heller1, and Robert Parrott1 — 1Department of Physics, Harvard University, USA — 2Institut I: Theoretische Physik, Universität Regensburg
The theoretical description of magnetic focusing requires to obtain Green functions for the transport through impurity potentials and quantum point contacts in a magnetic field. By solving the time-dependent Schrödinger equation, we have developed an accurate and effective method to calculate the energy-dependent Green function [1]. From the Green function, we obtain the microscopic local current flow through the device. The theoretical method is very versatile and adapted to systems, where standard diagrammatic approaches diverge and periodic boundary conditions yield non-physical results. In combination with a sophisticated disorder model, the results are in excellent agreement with the experimental images obtained by Scanning Probe Microscopy [2].
[1] An efficient an accurate method to obtain the energy-dependent Green function for general potentials T. Kramer, E. Heller, and R. Parrott submitted (2007)
[2] Imaging Magnetic Focusing of Coherent Electron Waves K. Aidala, R. Parrott, T. Kramer, R. Westervelt, E. Heller, M. Hanson, and A. Gossard Nature Physics, 3, 464-468 (2007)