Berlin 2012 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 6: Transport: Nanoelectronics I - Quantum Dots, Wires, Point Contacts 1
TT 6.2: Vortrag
Montag, 26. März 2012, 09:45–10:00, BH 334
Geometric phases in adiabatically driven, interacting quantum dots out of equilibrium — •Hernan L. Calvo1,2, Janine Splettstoesser1,2, and Maarten R. Wegewijs1,2,3 — 1Institut für Theorie der Statistischen Physik, RWTH Aachen University, 52056 Aachen, Germany — 2JARA-Fundamentals of Future Information Technology — 3Peter Grünberg Institut, Forschungszentrum Jülich, 52425 Jülich, Germany
Geometric phases arise in the quantum state of a system whose parameters are slowly varied along a closed contour, e.g. a quantum dot in a rotating magnetic field. In this work, we present a novel, generally applicable quantum transport theory for adiabatically driven, strongly interacting nanosystems characterized by non-trivial geometric phases in their dynamics. We account exactly for the local many-body interaction and applied non-linear voltages on a general type of quantum dot. We develop a perturbation theory in the tunnel coupling to the electrodes where the crucial ingredient is the time-dependent modulation of both the quantum energies (dynamical phases) as well as the wave functions (inducing geometric phases), both in the quantum dot and / or the reservoirs. We discuss the transport properties of such devices where the experimental signatures of geometric phases appear in the charge and spin pumping induced by the time-dependent parameters.