Correlated atomic wires on substrates. II. Application to Hubbard wires

Anas Abdelwahab, Eric Jeckelmann, and Martin Hohenadler
Phys. Rev. B 96, 035446 – Published 31 July 2017

Abstract

In the first part of our theoretical study of correlated atomic wires on substrates, we introduced lattice models for a one-dimensional quantum wire on a three-dimensional substrate and their approximation by quasi-one-dimensional effective ladder models [Abdelwahab et al., preceding paper, Phys. Rev. B 96, 035445 (2017)]. In this second part, we apply this approach to the case of a correlated wire with a Hubbard-type electron-electron repulsion deposited on an insulating substrate. The ground-state and spectral properties are investigated numerically using the density-matrix renormalization group method and quantum Monte Carlo simulations. As a function of the model parameters, we observe various phases with quasi-one-dimensional low-energy excitations localized in the wire, namely, paramagnetic Mott insulators, Luttinger liquids, and spin-1/2 Heisenberg chains. The validity of the effective ladder models is assessed for selected parameters by studying the dependence of results on the number of legs and comparing to the full three-dimensional model. We find that narrow ladder models accurately reproduce the quasi-one-dimensional excitations of the full three-dimensional model but predict only qualitatively whether excitations are localized around the wire or delocalized in the three-dimensional substrate.

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  • Received 11 May 2017

DOI:https://doi.org/10.1103/PhysRevB.96.035446

©2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Anas Abdelwahab and Eric Jeckelmann

  • Leibniz Universität Hannover, Institut für Theoretische Physik, Appelstrasse 2, 30167 Hannover, Germany

Martin Hohenadler

  • Institut für Theoretische Physik und Astrophysik, Universität Würzburg, Am Hubland, 97074 Würzburg, Germany

See Also

Correlated atomic wires on substrates. I. Mapping to quasi-one-dimensional models

Anas Abdelwahab, Eric Jeckelmann, and Martin Hohenadler
Phys. Rev. B 96, 035445 (2017)

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Issue

Vol. 96, Iss. 3 — 15 July 2017

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