Doping-induced spin liquid in a pyrochlore ferromagnet

The presence of 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 itinerant holes can favour ferromagnetism. More recently, Haerter and Shastry pointed out that a similar kinetic mechanism can give rise to antiferromagnetic spin correlations if hole hopping is frustrated, a phenomenon that was later dubbed the `counter-Nagaoka effect'. Here we study this pehnomenon on the pyrochlore lattice and we demonstrate that it can induce a spin liquid phase, contrary to the two dimensional cases considered thus far, 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 magnets.