We present an extensive numerical study of a new type of frustrated itinerant magnetism on the pyrochlore lattice. In this theory, the pyrochlore magnet can be viewed as a cross-linking network of Kondo or double-exchange chains. Contrary to models based on Mott insulators, this itinerant magnetism approach provides a natural explanation for several spin and orbital superstructures observed on the pyrochlore lattice. Through extensive Monte Carlo simulations, we obtain the phase diagrams at two representative electron filling fractions n=1/2 and 2/3. In particular, we show that an intriguing glassy magnetic state characterized by ordering wavevectors q=(31,31,1) gives a rather satisfactory description of the low temperature phase recently observed in spinel GeFe2O4.
@article{arxiv.1712.08975,
title = {Frustrated Kondo chains and glassy magnetic phases on the pyrochlore lattice},
author = {Jing Luo and Gia-Wei Chern},
journal= {arXiv preprint arXiv:1712.08975},
year = {2018}
}