Breakdown of atomic spin-orbit coupling picture in an apparently isolated pseudo-one-dimensional iridate: Sr3NaIrO6

In the presence of strong atomic spin-orbit coupling (SOC), tending to the $j\text{\ensuremath{-}}j$ coupling limit, $5{d}^{4}$ iridates are speculated to possess a nonmagnetic ${J}_{\mathrm{eff}}=0$ singlet ground state from atomic consideration, which invariably gets masked due to different solid-state effects (e.g., hopping). Here, we try to probe the trueness of the atomic SOC-based proposal in an apparently one-dimensional system, ${\mathrm{Sr}}_{3}{\mathrm{NaIrO}}_{6}$, with well-separated ${\mathrm{Ir}}^{5+}$ $(5{d}^{4})$ ions. But all the detailed experimental as well as theoretical characterizations reveal that the ground state of ${\mathrm{Sr}}_{3}{\mathrm{NaIrO}}_{6}$ is not nonmagnetic. However, our combined dc susceptibility $\ensuremath{\chi}$, $^{23}\mathrm{Na}$ nuclear magnetic resonance (NMR), muon spin relaxation/rotation $(\ensuremath{\mu}\mathrm{SR})$, and heat capacity ${C}_{p}$ measurements clearly refute any sign of spin freezing or ordered magnetism among the ${\mathrm{Ir}}^{5+}$ moments due to geometrical exchange frustration, while in-depth zero-field and longitudinal field $\ensuremath{\mu}\mathrm{SR}$ investigations strongly point towards an inhomogeneous quantum spin liquid (QSL)-like ground state. In addition, the linear temperature dependence of both the NMR spin-lattice relaxation rate and the magnetic heat capacity at low temperatures suggest low-lying gapless spin excitations in the QSL phase of this material. Finally, we conclude that the effective SOC realized in ${d}^{4}$ iridates is unlikely to offer a ground state which will be consistent with a purely atomic $j\text{\ensuremath{-}}j$ coupling description.