Berlin 2015 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 48: Quantum Chaos (jointly with DY)

TT 48.6: Talk

Tuesday, March 17, 2015, 15:45–16:00, BH-N 334

Quantum-classical correspondence in electronic transport through quantum point contacts — •Kazuhiro Kubo and Martina Hentschel — Technische Universität Ilmenau, Institut für Physik, Ilmenau, Germany

We investigate the propagation of electrons starting from a quantum point contact like source in a random potential. We present the density of classical trajectories which clearly shows the well-known branching pattern near the source and its gradual disappearance at larger distances. We calculate the semiclassical Green’s function for each trajectory, and discuss how its amplitude is related to both the branching features and the conjugate points (caustics) along the trajectory. Furthermore, we complement these discussions by including quantum mechanical results.