Breakdown of the Nagaoka phase at finite doping

Abstract

The Nagaoka (U=∞) limit of the Hubbard model on a square lattice is mapped onto the itinerant-localized Kondo model at infinitely strong coupling. Such a model is well suited to perform quantum Monte Carlo (QMC) simulations to compute spin correlation functions. This model is shown to exhibit no short-range ferromagnetic (FM) spin correlations at any doping δ 0.01 and finite temperature, T=0.1t. Our simulations give no indication that there is a tendency towards ferromagnetic ordering in the ground state.

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