“…13 All of these effects are rooted in strong magnetoelastic coupling, and the resulting MSTs can be controlled by external thermodynamic parameters such as temperature, hydrostatic pressure or uniaxial stress, and applied magnetic field, in addition to tuning electronic structures via chemical substitution. 14,15,16 Gd5Ge4, one of most studied compounds in the R5T4 family, exhibits an isothermal magnetic field-induced MST between the Sm5Ge4-type orthorhombic (O-II) and the Gd5Si4-type orthorhombic (O-I) structures below 30 K. The transition is irreversible at ~9 K and below, partially reversible between 9 and ~21 K, and fully reversible above 21 K. 17,18 Further, the equivalent transition can be temperature-induced in constant applied dc magnetic fields starting at 10-14 kOe (depending on the sample), and it remains incomplete and partially irreversible 19,20 in magnetic fields lower than 30 kOe. Formation of glass-like kinetically-arrest state(s) is responsible for the irreversibility of the AFM O-II ↔ FM O-I transition in Gd5Ge4 and, in addition to temperature and magnetic field, these frozen states can be controlled by hydrostatic pressure.…”