Two-dimensional Hubbard-Holstein model.

Phys Rev B Condens Matter

Published: August 1995

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http://dx.doi.org/10.1103/physrevb.52.4806DOI Listing

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We present a determinant quantum Monte Carlo study of the competition between instantaneous on-site Coulomb repulsion and retarded phonon-mediated attraction between electrons, as described by the two-dimensional Hubbard-Holstein model. At half filling, we find a strong competition between antiferromagnetism (AFM) and charge-density-wave (CDW) order. We demonstrate that a simple picture of AFM-CDW competition that incorporates the phonon-mediated attraction into an effective-U Hubbard model requires significant refinement.

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