Dresden 2017 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 75: Poster Session: Transport 1
TT 75.4: Poster
Donnerstag, 23. März 2017, 15:00–19:00, P2-EG
Hierarchical equations of motion approach to transport through an Anderson impurity coupled to interacting Luttinger liquid leads — •Junichi Okamoto1,2, Ludwig Mathey1,2, and Rainer Härtle3 — 1Zentrum für Optische Quantentechnologien and Institut für Laserphysik, Universität Hamburg, Hamburg, Germany — 2The Hamburg Centre for Ultrafast Imaging, Hamburg, Germany — 3Institut fur Theoretische Physik, Georg-August-Universität Göttingen, Göttingen, Germany
We generalize the hierarchical quantum master equations (HQME) method to investigate electron transport through an Anderson impurity coupled to one-dimensional interacting leads that can be described as Luttinger liquids [1]. In comparison to noninteracting leads, Luttinger liquids involve many-body correlations and the single-particle tunneling density of states shows a power-law singularity at the chemical potential. Using the generalized HQME method, we assess the importance of the singularity and the next-to-leading order many-body correlations. To this end, we compare numerically converged results with second and first-order results of the hybridization expansion inherent to our method. Cotunneling effects turn out to be most pronounced for attractive interactions in the leads. We also find that an interaction-induced negative differential conductance near the Coulomb blockade thresholds is suppressed compared to a first-order result. Finally, we discuss that the n (≥ 2)-particle correlations enter as a n-order effect and are, thus, not very pronounced at the high temperatures. [1] J. Okamoto, L. Mathey, R. Härtle, arXiv:1608.05399