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The Gutzwiller wave function as a disentanglement prescription

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Abstract.

The Gutzwiller variational wave function is shown to correspond to a particular disentanglement of the thermal evolution operator, and to be physically consistent only in the temperature range \(U\ll kT\ll E_F\), the Fermi energy of the non-interacting system. The correspondence is established without using the Gutzwiller approximation. It provides a systematic procedure for extending the ansatz to the strong-coupling regime. This is carried out to infinite order in a dominant class of commutators. The calculation shows that the classical idea of suppressing double occupation is replaced at low temperatures by a quantum RVB-like condition, which involves phases at neighboring sites. Low-energy phenomenologies are discussed in the light of this result.

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Authors and Affiliations

  1. Department of Physics, Faculty of Science, University of Zagreb, Bijenička cesta 32, HR-10000, Zagreb, Croatia

    D. K. Sunko

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  1. D. K. Sunko
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Correspondence to D. K. Sunko.

Additional information

Received: 3 October 2004, Published online: 23 December 2004

PACS:

71.10.Fd Lattice fermion models (Hubbard model, etc.) - 71.27. + a Strongly correlated electron systems; heavy fermions - 71.30. + h Metal-insulator transitions and other electronic transitions

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Sunko, D.K. The Gutzwiller wave function as a disentanglement prescription. Eur. Phys. J. B 42, 337–344 (2004). https://doi.org/10.1140/epjb/e2004-00388-1

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  • DOI: https://doi.org/10.1140/epjb/e2004-00388-1

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