Charge ordering in extended Hubbard models: Variational cluster approach

M. Aichhorn, H. G. Evertz, W. von der Linden, and M. Potthoff
Phys. Rev. B 70, 235107 – Published 3 December 2004

Abstract

We present a generalization of the recently proposed variational cluster perturbation theory to extended Hubbard models at half-filling with repulsive nearest neighbor interaction. The method takes into account short-range correlations correctly by the exact diagonalization of clusters of finite size, whereas long-range order beyond the size of the clusters is treated on a mean-field level. For one dimension, we show that quantum Monte Carlo and density-matrix renormalization-group results can be reproduced with very good accuracy. Moreover we apply the method to the two-dimensional extended Hubbard model on a square lattice. In contrast to the one-dimensional case, a first order phase transition between spin density wave phase and charge density wave phase is found as function of the nearest-neighbor interaction at onsite interactions U3t. The single-particle spectral function is calculated for both the one-dimensional and the two-dimensional system.

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  • Received 24 February 2004

DOI:https://doi.org/10.1103/PhysRevB.70.235107

©2004 American Physical Society

Authors & Affiliations

M. Aichhorn1, H. G. Evertz1, W. von der Linden1, and M. Potthoff2

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

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Issue

Vol. 70, Iss. 23 — 15 December 2004

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