Abstract
A system of quantum linear rotors in a crystal field is found to display a novel type of phase diagram. At a certain value of the crystal field a discontinuity point appears at the orientational phase transition line. As the crystal field increases this point splits into two critical points with a single-phase-state discontinuity (“hole”) between them. This remarkable feature is common both for a system where all angular momentum states are allowed and for one where the angular momentum is restricted to have even values despite the fact that general aspects of the transformations induced by the crystal field differ considerably for the two systems.
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