Elastic and inelastic neutron scattering (ENS and INS) experiments were performed on a single crystal of (Ni0.4Mn0.6)TiO3 (NMTO) to study the spatial correlations and dynamics of spins in the XY-like spin-glass (SG) state. Magnetization measurements reveal signatures of SG behavior in NMTO with a freezing temperature of TSG∼9.1K. The ENS experiments indicate that the intensity of magnetic diffuse scattering starts to increase around 12 K, which is close to TSG. Also, spin-spin correlation lengths (ξ) at 1.5 K are approximately (21±1) and (73±2)Å in the interlayer and the in-plane directions, respectively, demonstrating that magnetic correlations in NMTO exhibit quasi-two-dimensional antiferromagnetic order. In addition, critical exponent (β) is determined to be 0.37±0.02 from the intensity of magnetic diffuse scattering confirms the XY-like SG state of NMTO. INS results show quasielastic neutron scattering (QENS) profiles below TSG. The lifetime of dynamic correlations τ∼ℏ/ΓL, obtained from the half-width at half-maximum of the Lorentzian (ΓL) QENS profiles, are approximately (16±1) and (16±2) ps at 10 K for two positions (0.00, 0.00, 1.52) and (0.01, 0.01, 1.50), respectively. Therefore, our experimental findings demonstrate that short-range-ordered antiferromagnetic clusters with short-lived spin correlations are present in the XY-like SG state of NMTO.
