Berlin 2018 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 36: Correlated Electrons: 1D Theory

TT 36.9: Talk

Tuesday, March 13, 2018, 11:45–12:00, HFT-FT 101

Effective narrow ladder model for a spinless fermion wire on a semiconducting substrate — •Anas Abdelwahab and Eric Jeckelmann — Institut für Theoretische Physik, Leibniz Universität Hannover, Hannover, Germany

A spinless fermion wire coupled to a 3D-tight-binding substrate is approximated by a few-leg narrow ladder model (NLM) using the exact mapping introduced in Refs.[1] and [2]. Three phases are distinguished, namely, a one-component Luttinger liquid, a charge-density-wave (CDW) and a doped band insulator. We investigated the convergence of the single-particle excitation gap with increasing number of legs in the NLM. We confirm that the NLM is a good approximation to the 3D wire-substrate model in the one-component Luttinger liquid and the CDW phases. The NLM describes only qualitatively the doped band-insulator phase. The quantum phase transitions between the three phases are investigated as function of the wire-substrate coupling. The critical nearest-neighbor interactions increase with increasing the wire-substrate coupling.

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).
[2] A. Abdelwahab, E. Jeckelmann, and M. Hohenadler, Phys. Rev. B 96, 035446 (2017).