Dresden 2017 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 24: Low-Dimensional Systems: 1D - Theory
TT 24.3: Vortrag
Dienstag, 21. März 2017, 10:00–10:15, HSZ 204
Effective narrow ladder model for metallic atomic nanowires on semiconducting substrates — •Anas Abdelwahab1, Eric Jeckelmann1, and Martin Hohenadler2 — 1Leibniz Universität Hannover, Germany — 2Universität Würzburg, Germany
We perform a systematic construction of an effective quasi-one-dimensional ladder model starting from a 3D wire-substrate model. This construction depends on an exact mapping of the full 3D wire-substrate model onto a 2D ladder model, followed by a truncation to a ladder with a limited number of legs to approximate the full wire-substrate model. For insulating (but not for metallic) substrates, ladders with at least three legs are found to give a good qualitative approximation. We discuss the influence of wire-substrate hybridization on a wire described by the 1D Hubbard model. We observe several phases such as Mott insulator, Luttinger liquid, band insulator, and Fermi liquid. The effective ladder model is suggested to describe correlation effects in systems of metallic atomic nanowires deposited on semiconducting substrates.
Support from the DFG through the Research Units FOR 1700 and FOR 1807 as well as SFB 1170 is gratefully acknowledged.