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Center for Nonlinear Studies |
The presence of itinerant holes in large-U Hubbard models near half-filling is known to affect the spin correlations in the system. A notable example is Nagaoka's theorem demonstrating how hole-doping can favour ferromagnetism. More recently, Haerter and Shastry pointed out that a similar kinetic mechanism can give rise to antiferromagnetic spin correlations if the hole hopping is frustrated -- a phenomenon later dubbed the `counter-Nagaoka effect'. Here we study this phenomenon on the pyrochlore lattice and we demonstrate that it can induce a spin liquid phase, contrary to two dimensional systems, which are found to exhibit conventional order. At finite hole density, we find that this effect can be strong enough to overcome small ferromagnetic interactions, leading to the intriguing possibility of a doping-induced spin liquid phase, for example in pyrochlore all-in, all-out ordered magnetic materials.
Host: Cristian Batista (University of Tennessee)