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Continuous quantum phase transitions involving all-in-all-out (AIAO)antiferromagnetic order in strongly spin-orbit-coupled 5d compounds could giverise to various exotic electronic phases and strongly-coupled quantum criticalphenomena. Here we experimentally trace the AIAO spin order in Sm2Ir2O7 usingdirect resonant x-ray magnetic diffraction techniques under high pressure. Themagnetic order is suppressed at a critical pressure Pc=6.30 GPa, while thelattice symmetry remains in the cubic Fd-3m space group across the quantumcritical point. Comparing pressure tuning and the chemical series R2Ir2O7reveals that the suppression of the AIAO order and the approach to thespin-disordered state is characterized by contrasting evolutions of both thepyrochlore lattice constant a and the trigonal distortion x. The former affectsthe 5d bandwidth, the latter the Ising anisotropy, and as such we posit thatthe opposite effects of pressure and chemical tuning lead to spin fluctuationswith different Ising and Heisenberg character in the quantum critical region.Finally, the observed low-pressure scale of the AIAO quantum phase transitionin Sm2Ir2O7 identifies a circumscribed region of P-T space for investigatingthe putative magnetic Weyl-semimetal state.

Approaching the quantum critical point in a highly-correlated all-in-all-out antiferromagnet