Dresden 2017 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 3: Transport: Quantum Dots, Quantum Wires, Point Contacts
TT 3.14: Talk
Monday, March 20, 2017, 13:00–13:15, HSZ 201
Iterative path integral calculation for the interacting resonant level model — Vytautas Abramavicus1, •Stephan Weiss2, and Michael Thorwart3 — 1Vilnius University, Faculty of Physics, Department of Theoretical Physics, Sauletekio 9, Lithuania — 2Theoretische Physik, Universität Duisburg-Essen and CENIDE, 47048 Duisburg, Germany — 3I. Institut für Theoretische Physik, Universitaät Hamburg, Jungiusstraße 9, 20355 Hamburg, Germany
We calculate the tunneling current through the interacting resonant level model (IRLM) [1] by means of the iterative summation of path integrals (ISPI) scheme. Upon mapping the IRLM to a three dot system [2] with appropriate tunneling and interaction terms, we setup the ISPI scheme for this particluar model. Leads are integrated out exactly and the appearing two interactions of the model are decoupled by two independent Hubbard Stratonovich transformations. The remaining Keldysh path sum is then calculated using the numerically exact ISPI scheme, which relies on the truncation of lead induced correlations after a characteristic memory time τ. We compare our findings to the results of DMRG and fRG calculations.
[1] E. Boulat, H. Saleur, and P. Schmitteckert, Phys. Rev. Lett. 101, 140601 (2008).
[2] T.J. Suzuki, D.M. Kennes, and V. Meden, Phys. Rev. B 93, 085306 (2016).