  Much of the rich physics of correlated systems is manifested in the diverse
range of intertwined ordered phases and other quantum states that are
associated with different electronic and structural degrees of freedom. Here we
find that PrCuSb$_2$ exhibits such phenomena, which at ambient pressure
exhibits a fragile antiferromagnetic order, where cooling in a small $c$ axis
magnetic field leads to an additional transition to a field-induced
ferromagnetic state. This corresponds to an 'inverse melting' effect, whereby
further cooling the system restores symmetries of the paramagnetic state broken
at the antiferromagnetic transition. Moreover, hydrostatic pressure induces an
additional first-order transition at low temperatures, which despite being not
likely associated with solely magnetic degrees of freedom, is closely entwined
with the magnetic order, disappearing once antiferromagnetism is destroyed by
pressure or magnetic fields. Consequently, PrCuSb$_2$ presents a distinct
scenario for interplay between different orders, underscoring the breadth of
such behaviors within one family of correlated materials.
