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

Anas Abdelwahab, Eric Jeckelmann, and Martin Hohenadler
Phys. Rev. B 96, 035445 – Published 31 July 2017

Abstract

We present a theoretical study of correlated atomic wires deposited on substrates in two parts. In this first part, we propose lattice models for a one-dimensional quantum wire on a three-dimensional substrate and map them onto effective two-dimensional lattices using the Lanczos algorithm. We then discuss the approximation of these two-dimensional lattices by narrow ladder models that can be investigated with well-established methods for one-dimensional correlated quantum systems, such as the density-matrix renormalization group or bosonization. The validity of this approach is studied first for noninteracting electrons and then for a correlated wire with a Hubbard electron-electron repulsion using quantum Monte Carlo simulations. While narrow ladders cannot be used to represent wires on metallic substrates, they capture the physics of wires on insulating substrates if at least three legs are used. In the second part [Abdelwahab et al., following paper, Phys. Rev. B 96, 035446 (2017)], we use this approach for a detailed numerical investigation of a wire with a Hubbard interaction on an insulating substrate.

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  • Received 11 May 2017

DOI:https://doi.org/10.1103/PhysRevB.96.035445

©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. II. Application to Hubbard wires

Anas Abdelwahab, Eric Jeckelmann, and Martin Hohenadler
Phys. Rev. B 96, 035446 (2017)

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Vol. 96, Iss. 3 — 15 July 2017

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