Dresden 2014 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 83: Correlated Electrons: Nonequilibrium Quantum Many-Body Systems I
TT 83.9: Talk
Thursday, April 3, 2014, 12:00–12:15, HSZ 03
Is there Andreev-reflection in 1D Fermi-Hubbard systems? — •Mirco Marahrens1, Salvatore R. Manmana1, and Philippe Jacquod2 — 1University of Göttingen, Göttingen, Germany — 2University of Arizona, Tucson, Arizona, USA
We investigate for the possibility of directly observing Andreev-reflection in the time evolution of an initial wave packet at a metal/superconductor junction in interacting one-dimensional Fermi-Hubbard systems. We apply the adaptive time-dependent density matrix renormalization group (t-DMRG) method to obtain the behaviour when the wave packet initially prepared in the metallic region (modelled by non-interacting electrons) hits the interface to the superconducting region which we model by an attractive Fermi-Hubbard model. Somewhat surprisingly, and at first sight in contradiction to the findings in [1,2], we do not obtain a clear signal for hole-reflection over a wide range of parameters. This appears to be different for bosonic systems, in which we identify hole-like reflection, in line with the findings of [2]. We discuss ongoing work on this issue and the different aspects of the results obtained so far.
A.E. Feiguin, S.R. White, D.J. Scalapino, PRB 75, 024505 (2007)
A.J. Daley, P. Zoller, B. Trauzettel, PRL 100, 110404 (2008).