Berlin 2015 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 65: Low-Dimensional Systems: 1D – Theory
TT 65.4: Talk
Wednesday, March 18, 2015, 16:00–16:15, H 0104
Effective ladder models for correlated wires on substrates — •Anas Abdelwahab1, Eric Jeckelmann1, and Martin Hohenadler2 — 1Leibniz Universität Hannover, Germany — 2Universität Würzburg, Germany
The study of correlated quantum wires deposited on a substrate constitutes a challenge for existing analytical and numerical methods. We show that these systems can be mapped onto effective n-leg ladder models, which can then be investigated thoroughly using well-established methods for quasi-one-dimensional systems, such as the density-matrix renormalization group (DMRG) or bosonization. The possibilities and limitations of this approach are demonstrated with exact results for non-interacting systems as well as with DMRG and quantum Monte Carlo calculations for interacting wires. We present results for a two-leg effective model [1] and discuss the modeling of Luttinger liquids on semiconducting substrates. Support from the DFG through the Research Unit FOR 1807 is gratefully acknowledged.
[1] A. Abdelwahab, E. Jeckelmann, and M. Hohenadler,
arXiv:1409.7315