Ground-state properties of correlated fermions: Exact analytic results for the Gutzwiller wave function

Walter Metzner and Dieter Vollhardt
Phys. Rev. Lett. 59, 121 – Published 6 July 1987
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Abstract

The properties of the Gutzwiller variational wave function, which is frequently used to study ground-state properties of correlated fermions with a short-range interaction, are investigated by use of a new, analytically tractable approach. As a first application several ground-state quantities are evaluated exactly in dimensionality d=1 for arbitrary band-filling and interaction strengths. The results allow for the first approximation-free assessment of the wave function. The method itself is applicable to arbitrary space dimensions.

  • Received 18 February 1987

DOI:https://doi.org/10.1103/PhysRevLett.59.121

©1987 American Physical Society

Authors & Affiliations

Walter Metzner

  • Physik Department, Technische Universität München, D-8046 Garching, Federal Republic of Germany

Dieter Vollhardt

  • Werner Heisenberg Institut für Physik, Max-Planck-Institut für Physik und Astrophysik, D-8000 München, Federal Republic of Germany

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Vol. 59, Iss. 1 — 6 July 1987

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