Variational Cluster Approach to Correlated Electron Systems in Low Dimensions

M. Potthoff, M. Aichhorn, and C. Dahnken
Phys. Rev. Lett. 91, 206402 – Published 11 November 2003

Abstract

A self-energy-functional approach is applied to construct cluster approximations for correlated lattice models. It turns out that the cluster-perturbation theory [D. Sénéchal et al., Phys. Rev. Lett. 84, 522 (2000)] and the cellular dynamical mean-field theory [G. Kotliar et al., Phys. Rev. Lett. 87, 186401 (2001)] are limiting cases of a more general cluster method. The results for the one-dimensional Hubbard model are discussed with regard to boundary conditions, bath degrees of freedom, and cluster size.

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  • Received 10 March 2003

DOI:https://doi.org/10.1103/PhysRevLett.91.206402

©2003 American Physical Society

Authors & Affiliations

M. Potthoff1, M. Aichhorn2, and C. Dahnken1

  • 1Institut für Theoretische Physik, Universität Würzburg, Am Hubland, 97074 Würzburg, Germany
  • 2Institut für Theoretische Physik, Technische Universität Graz, Petersgasse 16, 8010 Graz, Austria

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Issue

Vol. 91, Iss. 20 — 14 November 2003

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Heating up of Superconductors
January 27, 2017

This collection marks the 30th anniversary of the discovery of high-temperature superconductors. The papers selected highlight some of the advances that have been made to date, both in understanding why these compounds behave in the way they do, and in utilizing them in applications. The papers included in the collection have been made free to read.

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