Towards a global phase diagram of Ce-based dipolar-octupolar pyrochlore magnets under magnetic fields

Ce-based dipolar-octupolar pyrochlores have emerged as leading candidates for realizing the elusive $\ensuremath{\pi}$-flux quantum spin ice, yet a definitive identification remains unsettled. The authors establish here a global magnetic field tuned phase diagram for Ce${}_{2}$(Zr,Sn,Hf)${}_{2}$O${}_{7}$, using gauge mean-field theory. Distinctive field direction dependent responses---ranging from critical fields differing by an order of magnitude, to split multi-peak dynamical spectra, to contrasting magnetostriction profiles---reveal powerful probes of the system's underlying multipolar nature. These predictions provide a concrete roadmap for neutron scattering and thermodynamic experiments.