Delocalization effect of the Hubbard repulsion in exact terms and two dimensions

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Abstract

The genuine physical reasons explaining the delocalization effect of the Hubbard repulsion U are analyzed. First, it is shown that always when this effect is observed, U acts on the background of a macroscopic degeneracy present in a multiband type of system. After this step, I demonstrate that acting in such conditions, by strongly diminishing the double occupancy, U spreads out the contributions in the ground state wave function, hence strongly increases the one-particle localization length, and consequently extends the one-particle behavior producing conditions for a delocalization effect. To be valuable, the reported results are presented in exact terms, being based on the first exact ground states deduced at half-filling in two dimensions for a prototype two band system, which is the generic periodic Anderson model at finite value of the interaction.

Original languageEnglish
Article number245113
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume77
Issue number24
DOIs
Publication statusPublished - Jun 11 2008

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Ground state
Wave functions
ground state
prototypes
wave functions
interactions

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

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