Dresden 2014 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 19: Transport: Quantum Dots, Quantum Wires, Point Contacts II (organized by TT)
TT 19.2: Talk
Monday, March 31, 2014, 16:15–16:30, HSZ 204
Functional renormalization group in Floquet space and its application to periodically driven quantum dots — •Katharina Eissing1,2, Stefan Göttel1,2, Dante Marvin Kennes1,2, and Volker Meden1,2 — 1Institut für Theorie der Statistischen Physik, RWTH Aachen University, 52074 Aachen, Germany — 2JARA Fundamentals of Future Information Technology, 52056 Aachen, Germany
The functional renormalization group (RG) was recently extended to study interacting, low-dimensional systems out of equilibrium. This includes correlated quantum dot setups with explicitly time-dependent Hamiltonians as e.g. realized in quantum quenches or in the presence of time-dependent bias voltages [Phys. Rev. B 85, 085113 (2012), Phys. Rev. B 85, 245101 (2012)]. However, following this route periodic pumping processes, which are of particular interest in e.g. nano-electronics and quantum information science, can only be described in an inefficient way. Taking advantage of the periodicity, we combine the Floquet theorem with the functional RG. This allows us to transform the double-time self-energy and Green functions in the Floquet basis [J. Phys.: Condens. Matter 20 085224] and the functional RG treatment resembles the stationary formalism. This makes it feasible to study transport in periodically driven systems. In my talk, I will shortly introduce this Floquet theorem based functional RG and present first results on transport through a quantum dot described by the interacting resonant level model.