Ordering of the pyrochlore Ising model with the long-range RKKY interaction

TL;DR

This study investigates how the long-range RKKY interaction influences the ordering phenomena in the pyrochlore Ising model, revealing complex behaviors depending on the Fermi wavevector through Monte Carlo simulations.

Contribution

It provides the first detailed Monte Carlo analysis of the pyrochlore Ising model with RKKY interactions, highlighting the dependence of ordering on the Fermi wavevector.

Findings

Rich ordering behaviors depending on k_F

Identification of different magnetic phases

Insights into metallic pyrochlore magnets

Abstract

The ordering of the Ising model on a pyrochlore lattice interacting via the long-range RKKY interaction, which models a metallic pyrochlore magnet such as Pr_2Ir_2O_7, is studied by Monte Carlo simulations. Depending on the parameter k_F representing the Fermi wavevector, the model exhibits rich ordering behaviors.