Successive single-q and double-q orders in an anisotropic XY model on the diamond structure: a model for quadrupole ordering in PrIrZn
This study utilizes classical Monte Carlo simulations of an effective quadrupole model on a diamond lattice to demonstrate that the competition between magnetic fields and quadrupole anisotropy, mediated by a crucial symmetry-allowed biquadratic interaction, drives successive single- and double- ordering transitions that reproduce the experimentally observed weak-field topology in PrIrZn.