Almost pure $J_{\mathrm{eff}}=1/2$ Mott state of In${}_2$Ir${}_2$O${}_7$ in the limit of reduced inter-site hopping

Abstract

The pyrochlore iridate In${}_2$Ir${}_2$O${}_7$ is a strong $J_{\mathrm{eff}}=1/2$ Mott insulator with frustrated magnetism. Despite the large trigonal crystal field, a small admixture of $J_{\mathrm{eff}}=3/2$ component in the $J_{\mathrm{eff}}=1/2$ bands and a small splitting of $J_{\mathrm{eff}}=3/2$ bands are observed as compared with other pyrochlore iridates A${}_2$Ir${}_2$O${}_7$ (A: trivalent cation). We argue that the reduced inter-site hopping between the $J_{\mathrm{eff}}=1/2$ and the $J_{\mathrm{eff}}=3/2$ manifold plays a predominant role in the distinct behavior of In${}_2$Ir${}_2$O${}_7$ compared with other A${}_2$Ir${}_2$O${}_7$. The effect of the intersite hopping should not be dismissed in the local physics of spin-orbital-entangled $J_{\mathrm{eff}}=1/2$ Mott insulators.