Diagonal Padé approximant of the one-body Green's function: A study on Hubbard rings

Walter Tarantino and Stefano Di Sabatino
Phys. Rev. B 99, 075149 – Published 25 February 2019

Abstract

Padé approximants to the many-body Green's function can be built by rearranging terms of its perturbative expansion. The hypothesis that the best use of a finite number of terms of such an expansion is given by the subclass of diagonal Padé approximants is here tested, and largely confirmed, on a solvable model system, namely the Hubbard ring for a variety of site numbers, fillings, and interaction strengths.

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  • Received 9 November 2018

DOI:https://doi.org/10.1103/PhysRevB.99.075149

©2019 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Walter Tarantino*

  • Materials Theory, ETH Zürich, Wolfgang-Pauli-Strasse 27, CH-8093 Zürich, Switzerland and Laboratoire des Solides Irradiés, Ecole Polytechnique, CNRS, CEA, Université Paris-Saclay, F-91128 Palaiseau, France

Stefano Di Sabatino

  • Laboratoire des Solides Irradiés, Ecole Polytechnique, CNRS, CEA, Université Paris-Saclay, F-91128 Palaiseau, France

  • *walter.tarantino@mat.ethz.ch

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Issue

Vol. 99, Iss. 7 — 15 February 2019

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