Dynamic magnetism in the disordered hexagonal double perovskite BaTi${}_{1/2}$Mn${}_{1/2}$O${}_3$

Abstract

Magnetic frustration and disorder are key ingredients to prevent the onset of magnetic order. In the disordered hexagonal double perovskite BaTi${}_{1/2}$Mn${}_{1/2}$O${}_3$, Mn${}^{4+}$ cations, with $S=3/2$ spins, can either form highly correlated states of magnetic trimers or dimers or remain as weakly interacting orphan spins. At low temperature ($T$), the dimer response is negligible, and magnetism is dominated by the trimers and orphans. To explore the role of magnetic frustration, disorder and possibly of quantum fluctuations, the low-$T$ magnetic properties of the remaining magnetic degrees of freedom of BaTi${}_{1/2}$Mn${}_{1/2}$O${}_3$ are investigated. Heat-capacity data and magnetic susceptibility display no evidence for a phase transition to a magnetically ordered phase but indicate the formation of a correlated spin state. The low-temperature spin dynamics of this state is then explored by $\mu$SR experiments. The zero field ${\mu }^{+}$ relaxation rate data show no static magnetism down to $T=19$ mK and longitudinal field experiments support as well that dynamic magnetism persists at low $T$. Our results are interpreted in terms of a spin glass state which stems from a disordered lattice of orphans spins and trimers. A spin liquid state in BaTi${}_{1/2}$Mn${}_{1/2}$O${}_3$, however, is not excluded and is also discussed.

Main Text: 6 pages, 4 figures; Supplemental: 11 pages, 7 figures