Hole-hole correlations in the $U=\infty $ limit of the Hubbard model and the stability of the Nagaoka state

Details Hole-hole correlations in the $U=\infty $ limit of the Hubbard model and the stability of the Nagaoka state Hole-hole correlations in the $U=\infty $ limit of the Hubbard model and the stability of the Nagaoka state

1993-02-06

arxiv.org/abs/cond-mat/9302011v1

Physics

Condensed Matter

15 pages, REVTEX

Scientific paper

10.1103/PhysRevB.48.317

We use exact diagonalisation in order to study the infinite - $U$ limit of the two dimensional Hubbard model. As well as looking at single-particle correlations, such as $n_{{\bf k}\sigma }=\langle c^\dagger _{{\bf k}\sigma }c_{{\bf k}\sigma } \rangle $, we also study {\it N-particle correlation functions} which compare the relative positions of {\it all} the particles in different models. In particular we study 16 and 18-site clusters and compare the charge correlations in the Hubbard model with those of spinless fermions and hard-core bosons. We find that although low densities of holes favour a `locally-ferromagnetic' fermionic description, the correlations at larger densities resemble those of pure hard-core bosons surprisingly well .

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