Hamburg 2001 – scientific programme

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HL: Halbleiterphysik

HL 44: Quantenpunkte und -dr
ähte: Transporteigenschaften II

HL 44.6: Talk

Friday, March 30, 2001, 12:45–13:00, S16

Modular recursive Green’s function method for ballistic magnetotransport — •Stefan Rotter, Ludger Wirtz, and Joachim Burgdörfer — Institut für Theoretische Physik, TU Wien, Austria

An extension of the standard recursive Green’s function method for ballistic quantum transport through open quantum dots is presented. By decomposing the scattering geometry into separable substructures (modules) the transport coefficients for a variety of dot geometries can be calculated with high accuracy even for high wave numbers.[∗] We compare results for two prototype structures which play an important role in the study of regular and chaotic dynamics: the circular and the stadium shaped quantum dot.
The modular recursive Green’s function method is extended to transport in a magnetic field which requires the proper treatment of asymptotic scattering boundary conditions and preservation of gauge invariance. This opens the doorway to a comparison with recent experiments on magnetotransport through quantum dots.

[∗] Rotter et al., Phys.Rev.B 62, 1950 (2000).