Mapping the Phase Diagram of RMM’O4 Compounds in Pursuit of the Coveted Quantum Spin Liquid state

Recently the rare earth RMM’O4 systems (where R = rare earth, M and M’ = transition or main group) have been suggested as strong spin-orbit coupled quantum spin liquid candidates. In these systems, effective spin-half moments arising from odd numbers of electrons per unit cell lie on a planar, geometrically frustrated triangular lattice. We have synthesized large high-quality single crystals of a variety of these compounds using the optical floating zone technique. In this talk we present our recent x-ray and neutron scattering results at extreme environmental conditions as well as magnetization measurements, and discuss the induced quantum critical phenomena and the phase diagram for this family of materials as a function of site mixing, substitution, magnetic field, pressure, and temperature.