Regensburg 2016 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 53: Low-Dimensional Systems: 1D - Theory
TT 53.7: Vortrag
Mittwoch, 9. März 2016, 16:45–17:00, H23
Effective few-leg ladder models for correlated wires on substrates — •Anas Abdelwahab1, Eric Jeckelmann1, and Martin Hohenadler2 — 1Leibniz Universität Hannover, Germany — 2Universität Würzburg, Germany
Correlated quantum wires deposited on a substrate constitutes a challenge for existing analytical and numerical methods. We develop a mapping onto 2D ladder models based on the Lanczos algorithm. Possibilities and limitations of truncating the 2D ladder onto effective few-leg ladder models are discussed. We use DMRG and quantum Monte Carlo methods to investigate if an effective few-leg ladder model is a good approximation for a correlated wire on substrate. We perform a comparison with a two-leg effective model [1] and discuss the modeling of Luttinger liquids on semiconducting substrates.
Support from the DFG through the Research Units FOR 1700 and FOR 1807 is gratefully acknowledged.
[1] A. Abdelwahab, E. Jeckelmann, and M. Hohenadler,
PRB 91, 155119 (2015)