Regensburg 2019 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 30: Correlated Electrons: 1D Theory

TT 30.4: Talk

Tuesday, April 2, 2019, 14:45–15:00, H4

Effective narrow ladder model for quantum multi-wires on a semiconducting substrate — •Anas Abdelwahab and Eric Jeckelmann — Leibniz Universität Hannover, Institut für Theoretische Physik, Appelstr. 2, 30167 Hannover

We propose a lattice model for quantum multi wires on a three dimensional substrate and map them onto effective two-dimensional lattice using the Block-Lanczos algorithm. This mapping is a generalization of the mapping introduced in [1] for single-wire system. Then, we approximate the resulting two-dimensional lattice by taking only a limited number of legs to form a narrow ladder model. We investigate the validity of this approximation and discuss the influence of the wire-substrate hybridization on the wire-wire coupling using noninteracting two-wire systems. We discuss the possibility to realize Luttinger liquid properties in correlated two-wire systems.

Support from the DFG through the Research Units FOR 1700 is gratefully acknowledged.
A. Abdelwahab, E. Jeckelmann, and M. Hohenadler, Phys. Rev. B 96, 035445 (2017)