  Discontinuous phase transitions occurs to be particularly interesting from a
social point of view because of their relationship to social hysteresis and
critical mass. In this paper, we show that the replacement of a time-varying
(annealed, situation-based) disorder by a static (quenched, personality-based)
one can lead to a change from a continuous to a discontinuous phase transition.
This is a result beyond the state of art, because so far numerous studies on
various complex systems (physical, biological and social) have indicated that
the quenched disorder can round or destroy the existence of a discontinuous
phase transition. To show the possibility of the opposite behavior, we study a
multistate $q$-voter model, with two types of disorder related to random
competing interactions (conformity and anticonformity). We confirm, both
analytically and through Monte Carlo simulations, that indeed discontinuous
phase transitions can be induced by a static disorder.
