(Poster) Geometric phases in adiabatically driven, interacting quantum dots out of equilibrium

HERNAN L. CALVO; JANINE SPLETTSTOESSER; MAARTEN R. WEGEWIJS

Schleiden, NRW

Jornada; JARA-FIT Science Days; 2011

JARA - Fundamentals of Future Information Technology

We develop a novel, generally applicable quantum transport theory for adiabatically driven, strongly interacting nanosystems characterized by non-trivial geometric properties in their dynamics. We account exactly for local many-body interaction on a general type of quantum dot and the applied non-linear voltage. We develop a perturbation theory in the non-trivial quantum fluctuation effects induced by the tunnel coupling to the electrodes. The crucial ingredient treated in our formalism is the time-dependent adiabatic 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. The experimental signatures of geometric phases in charge and spin pumping through electrically driven strongly interacting nano junctions can be addressed using this formalism.