Correlated Lattice Fermions in d= Dimensions

Walter Metzner and Dieter Vollhardt
Phys. Rev. Lett. 62, 324 – Published 16 January 1989; Erratum Phys. Rev. Lett. 62, 1066 (1989)
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Abstract

We show that even in d= dimensions the Hubbard model, when scaled properly, describes nontrivial correlations among fermions. Diagrammatic treatments are found to be substantially simpler than in finite dimensions. The weak-coupling correlation energy is seen to be a good approximation for that in d=3. Recent approximations based on slave-boson techniques are recovered by the exact evaluation of explicit variational wave functions in d=.

  • Received 28 September 1988

DOI:https://doi.org/10.1103/PhysRevLett.62.324

©1989 American Physical Society

Erratum

Correlated Lattice Fermions in d= Dimensions

Walter Metzner and Dieter Vollhardt
Phys. Rev. Lett. 62, 1066 (1989)

Authors & Affiliations

Walter Metzner and Dieter Vollhardt

  • Institut für Theoretische Physik C, Technische Hochschule Aachen, Sommerfeldstrasse 26/28, D-5100 Aachen, Federal Republic of Germany

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Vol. 62, Iss. 3 — 16 January 1989

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