Frequency dependence of the ac susceptibility in the random anisotropy system Dy(${\mathrm{P}}_{1\mathrm{-}\mathrm{x}}$${\mathrm{V}}_{\mathrm{x}}$)${\mathrm{O}}_4$

From a detailed study of ac susceptibility measurements on the random anisotropy system Dy(${\mathrm{P}}_{1\mathrm{-}\mathrm{x}}$ ${\mathrm{V}}_{\mathrm{x}}$)${\mathrm{O}}_4$, we have determined the magnetic phase diagram and characterized the various phases. In the intermediate-concentration range 0.26≤x≤0.83, no long-range magnetic order has been found. Here our studies suggest a spin-glass-like phase. Additionally, we have studied the frequency dependence of the ac susceptibility (mainly the out-of-phase component χ’ ’) over eight decades. From these measurements we have determined the distribution function of relaxation times as a function of temperature.