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Using bulk magnetization along with elastic and inelastic neutron scatteringtechniques, we have investigated the phase diagram ofFe$_{1+y}$Se$_{x}$Te$_{1-x}$ and the nature of magnetic correlations in threenonsuperconducting samples of Fe$_{1.01}$Se$_{0.1}$Te$_{0.9}$,Fe$_{1.01}$Se$_{0.15}$Te$_{0.85}$ and Fe$_{1.02}$Se$_{0.3}$Te$_{0.7}$. A cuspand hysteresis in the temperature dependence of the magnetization for the$x=0.15$ and 0.3 samples indicates spin-glass (SG) ordering below $T_{\rm sg} =23$K. Neutron scattering measurements indicate that the spin-glass behavior isassociated with short-range spin density wave (SDW) ordering characterized by astatic component and a low-energy dynamic component with a characteristicincommensurate wave vector of ${\bf Q}_m = (0.46, 0, 0.50)$ and an anisotropygap of $\sim$ 2.5 meV. Our high ${\bf Q}$-resolution data also show that thesystems undergo a glassy structural distortion that coincides with theshort-range SDW order.

Investigation of the spin-glass regime between the antiferromagnetic and superconducting phases in Fe$_{1+y}$Se$_x$Te$_{1-x}$