Dresden 2011 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 38: Poster Session Transport
TT 38.7: Poster
Wednesday, March 16, 2011, 14:00–18:00, P3
Real-time renormalization group for quantum dots with normal and superconducting leads — •Jacek Swiebodzinski1, Dirk Schuricht2, Jürgen König1, and Herbert Schoeller2 — 1Theoretische Physik, Universität Duisburg-Essen and CeNIDE, 47048 Duisburg, Germany — 2Institut für Theorie der Statistischen Physik, RWTH Aachen, 52056 Aachen, Germany
The real-time renormalization group in frequency space (RTRG-FS) is a formally exact perturbative renormalization
group scheme from which the kernel of the kinetic equation for the reduced density matrix can be calculated.
The method is applicable for small quantum systems, such as quantum dots, in contact with several particle or heat reservoirs.
Since the formalism is based on a perturbative expansion in the system-reservoir coupling quantum systems with
arbitrary large interaction strength can be treated. In its original form [1] the RTRG-FS was formulated for systems coupled to normal leads only. Here we present a generalization
of the method to the case where the leads may be both normal or superconducting. In the latter case transport
can be provided either by quasiparticle or Andreev tunneling giving rise to a rich variety of interesting physical phenomena.
When several superconducting leads at different chemical potentials are present it is important to
consider the energy contribution from the Cooper pair condensate in the leads.
We in particular account for this situation. Finally we discuss some applications of the method.
H. Schoeller, Eur. Phys. J. Special Topics 168, 179 (2009).