Quantum phase transitions of the Dirac oscillator in a minimal length scenario

We obtain exact solutions of the (2 + 1)-dimensional Dirac oscillator in a homogeneous magnetic field within a minimal-length (Delta x(0) = (h) over bar root beta) or generalized uncertainty principle scenario. This system in ordinary quantum mechanics has a single left-right chiral quantum phase transition (QPT). We show that a nonzero minimal length turns on an infinite number of quantum phase transitions which accumulate towards the known QPT when beta --> 0. It is also shown that the presence of the minimal length modifies the degeneracy of the states and that in this case there exists a new class of states which do not survive in the ordinary quantum mechanics limit beta --> 0.